Method for preset control of turbojet engine based on random output adjustment

Abstract

The invention discloses a preset control method of a turbojet engine based on random output regulation, which comprises the following steps: constructing a random output regulation equation, then solving the random output regulation equation to obtain a solution of the random output regulation equation, and obtaining a state feedback controller according to the solution of the random output regulation equation; and finally, the turbojet engine measures the blade rotating speed and an external signal, after the fuel flow speed is calculated based on the state feedback controller, the turbojet engine is controlled according to the fuel flow speed obtained through calculation, the blade rotating speed tracks the external signal and reaches a stable state, and therefore output adjustment of the turbojet engine is achieved. The bounded solution of the random output adjustment equation does not depend on Brownian motion, and the output adjustment problem of the turbojet engine can be solved without estimating the Brownian motion. When Brownian motion is measurable, an external signal is allowed to be a bounded signal compared with the prior art.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of turbojet engine control, in particular to a preset control method of turbojet engine based on random output regulation. BACKGROUND

[0002] In recent years, in the existing research on the output regulation problem of time-varying system, the output regulation equation is usually composed of a differential matrix equation and an algebraic matrix equation. In order to ensure the boundedness of the solution of the equation, it is usually necessary to make boundedness assumption on the external signal. However, many engineering systems in reality, such as turbojet engine systems, often have random uncertainties with probability characteristics, so the turbojet engine system is more suitable for modeling by using a random system. At present, the research on the output regulation problem of the system based on the random differential equation is still relatively scarce. Some researchers have studied the output regulation problem of linear random system, and for single-input single-output linear random system and bounded external signal, they have proposed a random output regulation equation and given the solvability condition, which lays a foundation for the output regulation theory of random system. However, this method still has limitations: first, it only considers single-input single-output system and the external signal is assumed to be bounded, while in reality many external signals may be unbounded; second, the random output regulation equation depends on Brown motion, and when the Brown motion is unobservable, the existing method cannot realize accurate error convergence. In summary, the current research on the output regulation problem of random system still has limitations. SUMMARY

[0003] The present application aims to overcome the above-mentioned defects or problems in the background art or provide a material basis for overcoming the above-mentioned defects or problems in the background art, and provides a preset control method of turbojet engine based on random output regulation.

[0004] To achieve the above-mentioned purpose, the present application and its preferred embodiments adopt the following technical solutions, but the embodiments are not limited to the following solutions:

[0005] Scheme one, a preset control method of turbojet engine based on random output regulation,

[0006] constructing the dynamics equation of turbojet engine system:

[0007] dx t =(Ax t +Bu t +Ev t )dt+(Hx t +Rv t )dW t ;

[0008] e t =Cx t +Dut +Fv t ;

[0009] Where, x t u represents the blade rotational speed of the turbojet engine at time t. t v represents the fuel flow rate of the turbojet engine at time t. t Let e ​​represent the external signal at time t. t W represents the tracking error at time t. t It is Brownian motion, dW t dx represents the change in Brownian motion. t dt represents the change in blade rotational speed; A, B, C, D, E, F, H, and R represent the first to eighth constant matrices of the system.

[0010] Construct the external system equations:

[0011]

[0012] Among them, v t For external signals, Indicates v t The time derivative of ; S is the q×q external system constant matrix;

[0013] Construct a random output regulation equation such that it has a bounded solution Π. t and Γ t We obtain K and Γ t :

[0014] dΠ t =((A+BK)Π t -Π t S+E+BΓ t )dt+(HΠ t +R)dW t ;

[0015]

[0016] Among them, Π t To randomly output the first bounded solution of the regulation equation, dΠ t For Π t The change, e St e raised to the power of St; K is the constant of the state feedback controller, Γ t For state feedback controller matrix;

[0017] A state feedback controller is constructed to calculate the fuel flow rate. The state feedback controller equation is as follows:

[0018] u t =Kx t +Γ tv t ;u t This represents the fuel flow rate of the turbojet engine at time t;

[0019] Measure blade rotation speed x t and external signal v t The fuel flow rate u is calculated based on the state feedback controller. t Then, according to the calculated fuel flow rate u t Perform turbojet engine control to reduce the turbojet engine's tracking error e t Converging to zero, and making the blade rotation speed x t Tracking external signal v t A stable state has been reached.

[0020] Option 2, based on Option 1, the value of A is determined by the blade rotational speed x. t The degree of influence of the change in blade speed is defined, and the value of B is based on the fuel flow rate u. t The degree of influence of the change in blade speed is defined by the value of E based on the external signal v. t The degree of influence of the change in blade rotational speed is defined by the value of H based on the blade rotational speed x. t The sensitivity to Brownian motion is defined by the value of R based on the external signal v. t The sensitivity to Brownian motion is defined by the value of C based on the blade rotational speed x. t For tracking error e t The degree of influence is defined by the value of D based on the fuel flow rate u. t For tracking error e t The degree of influence is defined by the value of F based on the external signal v. t For tracking error e t The degree of influence is defined; the value of S is based on the external signal v. t right The degree of influence is defined.

[0021] Option 3, based on Option 2, ensures that the first and second conditions are met, and that the random output adjustment equation has a bounded solution.

[0022] First condition: The following first equation has a pair of bounded solutions. and

[0023]

[0024] CΠ t +DΞ t +F = 0;

[0025] in, Let Ξ represent the first and second bounded solutions of the first equation, respectively. tTo randomly output the bounded solution of the second term of the regulation equation; Represents Π t The derivative with respect to time;

[0026] Second condition:

[0027] There exists a continuous and bounded stochastic process h t This makes both conditions 2.1 and 2.2 true simultaneously:

[0028] Condition 2.1: The following second equation:

[0029]

[0030] Having an initial state Bounded solution

[0031] in, This represents the initial state of the second equation. This is a bounded solution to the second equation. for The change in I m For m×m

[0032] Identity matrix; set X is the ninth matrix, D - Denotes the pseudo-inverse matrix of D;

[0033] Condition 2.2: For bounded solutions For any t≥0, the following third-party process:

[0034]

[0035] Established;

[0036] make and The bounded solution Π of the random output regulation equation can be obtained. t and Ξ t ;

[0037] in, satisfy

[0038] According to the bounded solution Π of the stochastic regulator equation t and Ξ t Solve for K and Γ t Thus, a state feedback controller is obtained.

[0039] Option 4, based on Option 3,

[0040] Choose K such that K satisfies the following condition:

[0041]

[0042] Where Re(·) represents the real part of the term in parentheses, and λ i (·) represents the i-th eigenvalue of the matrix within the parentheses, I n It is an n×n identity matrix. Represents the Kronecker product;

[0043] Calculate Γ t =Ξ t -KΠ t ;

[0044] Based on the solved K and Γ t Get the state feedback controller u t =Kx t +Γ t v t .

[0045] Option 5, based on Option 1, A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = 0.1, F = 1.0, H = 0.1, R = 0.0, the external system's q×q matrix S = 0, q = 1, and the constant K of the state feedback controller = -0.47.

[0046] Option 6, based on Option 1, A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = [0.1, 0.15], F = [1.0, 0.0], H = 0.1, R = [0.0, 0.0], the external system's q×q matrix. q = 2, and the constant K of the state feedback controller is -0.82.

[0047] Option 7, based on Option 3, defines X according to the equation DD-CX=CX satisfying the matrix X.

[0048] As can be seen from the above description of the present invention and its preferred embodiments, compared with the prior art, the technical solution of the present invention and its preferred embodiments have the following beneficial effects due to the adoption of the following technical means:

[0049] Through continuous observation, experimentation, and research, the applicant has determined that the reason for the technical problem in the existing technical solutions lies in the following:

[0050] In this embodiment, a random output regulation equation is constructed, and then the solution to the random output regulation equation is obtained. A state feedback controller is then derived based on the solution. Finally, the turbojet engine measures the blade speed and external signals, and calculates the fuel flow rate based on the state feedback controller. The turbojet engine is then controlled according to the calculated fuel flow rate, causing the blade speed to track the external signal and reach a stable state, thereby achieving output regulation of the turbojet engine. Using the above technical solution, the external signal v is allowed to... t The signal is unbounded, and the turbojet engine system contains random disturbances (i.e., Brownian motion), thus ensuring stable output of the turbojet engine under random disturbances; the technical solution addresses the tracking error e. t =Cx t +Du t +Fv t Fuel flow rate u can be input without calling the control input. t If the constant matrix D = 0, then the random output adjustment equation is adjusted to: dΠ t =((A+BK)Π t -Π t S+E+BΓ t )dt,CΠ t +F=0,HΠ t +R=0, the bounded solution of the adjusted random output regulation equation does not depend on Brownian motion W t The proposed technical solution does not require estimation of Brownian motion W. t This can solve the output regulation problem of turbojet engines. (In Brownian motion W) t When measurable, compared to existing technologies, it allows external signals v t Bounded signals are allowed. Attached Figure Description

[0051] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the following description of the embodiments are briefly introduced. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0052] Figure 1 This is a schematic diagram of the fuel flow rate of the turbojet engine in Example 1 changing over time.

[0053] Figure 2 This is a schematic diagram of the blade velocity of the turbojet engine in Example 1 changing over time.

[0054] Figure 3 This is a schematic diagram of the tracking error of the turbojet engine in Example 1 changing over time.

[0055] Figure 4 This is a schematic diagram of the blade velocity of the turbojet engine in Example 2 changing over time.

[0056] Figure 5 This is a schematic diagram showing the curve of the tracking error of the turbojet engine in Example 2 changing over time.

[0057] Figure 6 The following is the dynamic equation of the turbojet engine system in the embodiment;

[0058] Figure 7 The external system equations in the embodiment;

[0059] Figure 8 The example outputs a random adjustment equation;

[0060] Figure 9 The state feedback controller equations are shown in the embodiment; Detailed Implementation

[0061] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are preferred embodiments of the present invention and should not be considered as excluding other embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0062] Unless otherwise expressly defined, the use of terms such as "first," "second," or "third" in the claims, description, and accompanying drawings of this invention is for distinguishing different objects and not for describing a specific order.

[0063] Unless otherwise expressly defined, in the claims, description, and accompanying drawings of this invention, the use of directional terms such as "center," "lateral," "longitudinal," "horizontal," "vertical," "top," "bottom," "inner," "outer," "upper," "lower," "front," "rear," "left," "right," "clockwise," and "counterclockwise" to indicate orientation or positional relationships is based on the orientation and positional relationships shown in the accompanying drawings and is only for the convenience of describing the invention and simplifying the description, and is not intended to indicate or imply that the device or element referred to must have a specific orientation or be constructed and operated in a specific orientation, and therefore should not be construed as limiting the specific scope of protection of this invention.

[0064] Unless otherwise expressly defined, the terms "fixed connection" or "fixed connection" used in the claims, description and drawings of this invention should be interpreted broadly to refer to any connection in which there is no displacement or relative rotation relationship between the two parties, including non-removable fixed connection, detachable fixed connection, integral connection and fixed connection by other means or components.

[0065] In the claims, description and accompanying drawings of this invention, the terms "comprising," "having," and variations thereof are used to mean "including but not limited to."

[0066] A preset control method for a turbojet engine based on random output regulation is disclosed, used to control the fuel flow rate of the turbojet engine, enabling the engine blade speed to track external signals and reach a steady state. Specifically, in this embodiment, a random output regulation equation is first constructed, then solved to obtain the solution. A state feedback controller is obtained based on the solution. Finally, the turbojet engine measures the blade speed and external signals, calculates the fuel flow rate based on the state feedback controller, and controls the turbojet engine according to the calculated fuel flow rate, enabling the blade speed to track the external signals and reach a steady state, thereby achieving output regulation of the turbojet engine.

[0067] For details, please refer to Figures 6-9 ,

[0068] Constructing the dynamic equations of the turbojet engine system:

[0069] dx t =(Ax t +Bu t +Ev t )dt+(Hx t +Rv t )dW t ;

[0070] e t =Cx t +Du t +Fv t ;

[0071] Where, x t u represents the blade rotational speed of the turbojet engine at time t. t v represents the fuel flow rate of the turbojet engine at time t. t Let e ​​represent the external signal at time t. t W represents the tracking error at time t. t It is Brownian motion, dW t dx represents the change in Brownian motion. tThe value of A represents the change in blade rotational speed, and dt represents the time interval; A, B, C, D, E, F, H, and R represent the first to eighth constant matrices of the system; the value of A is based on the blade rotational speed x. t The degree of influence of the change in blade speed is defined, and the value of B is based on the fuel flow rate u. t The degree of influence of the change in blade speed is defined by the value of E based on the external signal v. t The degree of influence of the change in blade rotational speed is defined by the value of H based on the blade rotational speed x. t The sensitivity to Brownian motion is defined by the value of R based on the external signal v. t The sensitivity to Brownian motion is defined by the value of C based on the blade rotational speed x. t For tracking error e t The degree of influence is defined by the value of D based on the fuel flow rate u. t For tracking error e t The degree of influence is defined by the value of F based on the external signal v. t For tracking error e t Defining the degree of influence; constructing external system equations: calculate The purpose is to calculate the external signal at the next time step t+1.

[0072] Among them, v t For external signals, Indicates v t The time derivative of ; S is the q×q external system constant matrix, the value of S is determined by the external signal v. t right The degree of influence is defined. External signal v t This refers to a reference signal that is generated outside the stochastic system and cannot be directly controlled by the stochastic system, requiring the stochastic system to track or suppress it.

[0073] Based on the aforementioned dynamic equations of the turbojet engine system and the external system equations, in order to solve the output regulation problem of the turbojet engine system, a state feedback controller needs to be designed to minimize the tracking error e of the turbojet engine. t Converging to zero and ensuring the turbojet engine system tends to stabilize. Specifically:

[0074] Step 1: Construct a random output adjustment equation that has a bounded solution Π. t and Γ t We obtain K and Γ t The random output regulation equation has a bounded solution Π. t and Γ t The state feedback controller can solve the output regulation problem of the turbojet engine system; the random output regulation equation is:

[0075] dΠ t =((A+BK)Π t -Π t S+E+BΓ t )dt+(HΠ t +R)dW t ;

[0076]

[0077] Among them, Π t To randomly output the first bounded solution of the regulation equation, dΠ t For Π t The change, e St e raised to the power of St; K is the constant of the state feedback controller, Γ t For state feedback controller matrix;

[0078] Step 2: Solve the random output adjustment equation to obtain a bounded solution:

[0079] The solution process is as follows:

[0080] If the first and second conditions are true, then the random output adjustment equation has a bounded solution.

[0081] First condition: The following first equation has a pair of bounded solutions. and

[0082]

[0083] CΠ t +DΞ t +F = 0;

[0084] in, Let Ξ represent the first and second bounded solutions of the first equation, respectively. t To randomly output the bounded solution of the second term of the regulation equation; Represents Π t The derivative with respect to time;

[0085] Second condition:

[0086] There exists a continuous and bounded stochastic process h t This makes both conditions 2.1 and 2.2 true simultaneously:

[0087] Condition 2.1: The following second equation:

[0088]

[0089] Having an initial state Bounded solution

[0090] in, This represents the initial state of the second equation. This is a bounded solution to the second equation. for The change in I m For m×m

[0091] identity matrix, I m An m×m identity matrix whose main diagonal elements are all 1 and all other elements are 0; a set

[0092] X is the ninth matrix, and X satisfies equation DD according to matrix X. - Defined as CX = CX. D - Denotes the pseudo-inverse matrix of D;

[0093] Condition 2.2: For bounded solutions For any t≥0, the following third-party process:

[0094]

[0095] Established;

[0096] make and The bounded solution Π of the random output regulation equation can be obtained. t and Ξ t ;

[0097] in, satisfy

[0098] Step 3: Based on the bounded solution Π of the stochastic regulator equation t and Ξ t Solve for K and Γ t Thus, a state feedback controller is obtained.

[0099] Choose K such that K satisfies the following condition:

[0100]

[0101] Where Re(·) represents the real part of the term in parentheses, and λ i (·) represents the i-th eigenvalue of the matrix within the parentheses, I n Let I be an n×n identity matrix. n An n×n identity matrix in which all elements on the main diagonal are 1 and all other elements are 0. Represents the Kronecker product;

[0102] Calculate Γ t=Ξ t -KΠ t ;

[0103] Based on the solved K and Γ t A state feedback controller is obtained to calculate the fuel flow rate. The state feedback controller equation is: u t =Kx t +Γ t v t .

[0104] Among them, u t x represents the fuel flow rate of the turbojet engine at time t. t This represents the blade rotational speed of the turbojet engine at time t;

[0105] Then, by measuring the blade rotation speed x t and external signal v t The fuel flow rate u is calculated based on the state feedback controller. t Then, according to the calculated fuel flow rate u t Perform turbojet engine control to reduce the turbojet engine's tracking error e t Converging to zero, and making the blade rotation speed x t Tracking external signal v t A stable state has been reached.

[0106] To verify the effectiveness of the aforementioned preset control method for a turbojet engine based on random output adjustment, a turbojet engine was constructed in Matlab in this embodiment. In this embodiment, the constant matrix of the turbojet engine system is A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = 0.1, F = 1.0, H = 0.1, R = 0.0; the q×q matrix of the external system is S = 0, q = 1; the constant of the state feedback controller is K = -0.47; and the external signal v is set. t If v is a constant, then t It is a bounded signal.

[0107] In this first embodiment, the fuel flow rate u t A schematic diagram of the curve changing over time is shown below. Figure 1 As shown, the blade rotational speed x t A schematic diagram of the curve changing over time is shown below. Figure 2 As shown, the tracking error e t A schematic diagram of the curve changing over time is shown below. Figure 3 As shown.

[0108] like Figure 1 , Figure 2 and Figure 3 As shown, after 6 seconds, the turbojet engine maintained a steady output, and the fuel flow rate u t The speed of the blades tends to stabilize, and the blade rotation speed x tMaintaining at 12000 rpm, the tracking error e of the turbojet engine t It is 0.

[0109] To verify the aforementioned preset control method for turbojet engines based on random output regulation, an external signal v is allowed. t For unbounded signals, the blade rotation speed x t Tracking external signal v t Example 2 was conducted; in this example 2, the constant matrix of the turbojet engine system is A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = [0.1, 0.15], F = [1.0, 0.0], H = 0.1, R = [0.0, 0.0], and the external system's q×q matrix is... q = 2, the constant K of the state feedback controller = -0.82; when t approaches infinity, the external signal v is set. t The value of v approaches infinity, therefore t It is an unbounded signal.

[0110] In this second embodiment, the blade rotational speed x t A schematic diagram of the curve changing over time is shown below. Figure 4 As shown, the tracking error e t A schematic diagram of the curve changing over time is shown below. Figure 5 As shown.

[0111] like Figure 4 and Figure 5 As shown, after 8 seconds, the blade rotation speed x t Tracking external signal v t The tracking error e of the turbojet engine t It is 0.

[0112] In summary, by adopting the above technical solution, external signals v are allowed. t The signal is unbounded, and the turbojet engine system contains random disturbances, thus ensuring stable output of the turbojet engine under random disturbances; the technical solution addresses the tracking error e. t =Cx t +Du t +Fv t Fuel flow rate u can be input without calling the control input. t If the constant matrix D = 0, then the random output adjustment equation is adjusted to: dΠ t =((A+BK)Π t -Π t S+E+BΓ t )dt,CΠ t +F=0,HΠ t +R=0, the bounded solution of the adjusted random output regulation equation does not depend on Brownian motion W tThe proposed technical solution does not require estimation of Brownian motion W. t This can solve the output regulation problem of turbojet engines. (In Brownian motion W) t When measurable, compared to existing technologies, it allows external signals v t Bounded signals are allowed.

[0113] The foregoing description of the specifications and embodiments is intended to explain the scope of protection of this invention, but does not constitute a limitation on the scope of protection of this invention. Modifications, equivalent substitutions, or other improvements to the embodiments of this invention or a portion thereof that can be obtained by those skilled in the art through logical analysis, reasoning, or limited experimentation, based on the teachings of this invention or the foregoing embodiments, in conjunction with common knowledge, general technical knowledge, and / or existing technology, should all be included within the scope of protection of this invention.

Claims

1. A method for preset control of a turbojet engine based on stochastic output regulation, characterized by: constructing the turbojet engine system dynamics equation: dx t = (Ax t + Bu t + Ev t ) dt + (Hx t + Rv t ) dW t ; e t = Cx t + Du t + Fv t ; wherein x t represents the blade speed of the turbojet engine at time t, u t represents the fuel flow rate of the turbojet engine at time t, v t represents an external signal at time t, e t represents the tracking error at time t, W t is Brownian motion, dW t represents the change amount of Brownian motion, dx t represents the change amount of the blade speed, dt represents the time interval; A, B, C, D, E, F, H, R represent the first to eighth constant matrices of the system; constructing the external system equation: where v t is an external signal, denotes the derivative of v t with respect to time; S is a q x q external system constant matrix; Construct the stochastic output regulation equation so that it has a bounded solution Π t and Γ t , obtaining K and Γ t : dP t =((A+BK)Π t -P t S+E+BΓ t )dt+(HΠ t +R)dW t ; wherein, Π t is a first term of the stochastic output regulation equation, dΠ t is a change in Π t , e St is e to the St power; K is a state feedback controller constant, Γ t is a state feedback controller matrix; constructing a state feedback controller to compute the fuel flow rate, the state feedback controller equation being: u t = Kx t + Γ t v t ; u t denotes the fuel flow rate of the turbojet engine at time t; measuring the blade speed x t and the external signal v t and calculating the fuel flow rate u t based on the state feedback controller t and performing turbojet control so that the turbojet tracking error e t converges to zero and the blade speed x t tracks the external signal v t reaches a steady state.

2. A method of preset control of a turbojet engine based on random output regulation as claimed in claim 1, characterized in that: The value of A is defined by the degree of influence on the blade rotation speed x t The value of B is defined by the degree of influence on the blade rotation speed change amount u t The value of E is defined by the degree of influence on the external signal v t The value of H is defined by the degree of influence on the blade rotation speed x t The value of R is defined by the degree of influence on the Brownian motion v t The value of C is defined by the degree of influence on the blade rotation speed x t The value of S is defined by the degree of influence on the external signal v t The value of D is defined by the degree of influence on the tracking error e t The value of F is defined by the degree of influence on the tracking error e t The value of S is defined by the degree of influence on the external signal v t The value of S is defined by the degree of influence on the external signal v t The value of S is defined by the degree of influence on the external signal v t The value of S is defined by the degree of influence on the external signal v The value of S is defined by the degree of influence on the external signal v 3. A method of preset control of a turbojet engine based on random output regulation as claimed in claim 1, characterized in that: making the first condition and the second condition true, the stochastic output regulation equation having a bounded solution, First condition: the following first equation has a pair of bounded solutions and CΠ t +DΞ t +F=0; wherein, denote the first and second term bounded solution of the first equation, respectively, Ξ t is the second term bounded solution of the stochastic output regulation equation; denote the first and second term bounded solution of the first equation, respectively, Ξ t derivative with respect to time; the second condition: There exists a continuous and bounded stochastic process h t such that the following conditions 2.1 and 2.2 are simultaneously satisfied: condition 2.1: the following second equation: having an initial state of bounded solution wherein, is the initial state of the second equation, is the bounded solution of the second equation, is the change in the quantity, I m is mxm identity matrix; set X is a ninth matrix, D - denotes the pseudo-inverse matrix of D Condition 2.2: For a bounded solution and for any t > 0, the following third equation: Established; Let and bounded solutions of the random output regulation equation can be obtained t and Ξ t ; wherein satisfies According to the bounded solution of the stochastic regulator equation Π t and Ξ t , solve for K and Γ t , to obtain the state feedback controller.

4. A method for preset control of a turbojet engine based on stochastic output regulation as claimed in claim 3, characterized by: selecting K such that K satisfies the following condition: where Re(·) denotes the real part of the term in the parentheses, λ i (·) denotes the i-th eigenvalue of the matrix in the parentheses, I n is the n x n identity matrix, denotes the Kronecker product; Compute Γ t = Ξ t - KΠ t ; According to the solved K and Γ t Get state feedback controller u t = Kx t + Γ t v t .

5. A method of preset control of a turbojet engine based on random output regulation as claimed in claim 1, characterized in that: A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = 0.1, F = 1.0, H = 0.1, R = 0.0, the q x q matrix S of the external system = 0, q = 1, the constant K of the state feedback controller = -0.

47.

6. A method of preset control of a turbojet engine based on random output regulation as claimed in claim 1, characterized in that: A = -0.6, B = 3.0, C = -1.0, D = 0.0, E = [0.1, 0.15], F = [1.0, 0.0], H = 0.1, R = [0.0, 0.0], q x q matrix of the external system q = 2, constant K of the state feedback controller = -0.

82.

7. A method of preset control of a turbojet engine based on random output regulation as claimed in claim 3, characterized in that: X is defined according to the matrix X satisfying the equation DD - CX = CX to define.

Images