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Composite anti-interference control method of generalized time-delay Markov jump system

A jump system and control method technology, applied in the field of Markov system control, can solve problems such as hidden dangers of system stability, difficult application, lack of extensiveness, etc., and achieve simple and efficient control methods, strong practicability, and conservativeness. small effect

Active Publication Date: 2021-09-07
NANJING UNIV OF SCI & TECH
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Problems solved by technology

[0004] In the existing compound anti-jamming control scheme mentioned above, only the stochastic system, that is, the Markov jump system is studied, and the obtained control method cannot be fully applied to various practical systems such as circuits, robot operating systems, and economic systems. It is extensive; secondly, the control method combined with DOBC in the existing research has a complex structure in actual operation and is difficult to apply; in addition, there is no problem with the time-delay problem that often occurs in actual system applications, especially the time-varying time-delay problem. To be studied and resolved, leaving hidden dangers in the stability of the system

Method used

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Embodiment Construction

[0100] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0101] Such as figure 1 As shown, the present invention is a time-delayed generalized Markov jump system with multiple perturbations in DOBC and H ∞ Composite control under performance metrics. The specific operation steps are as follows:

[0102] Step 1: Construct the system model of the generalized time-delay Markov jump system:

[0103]

[0104] In the simulation, considering that the Markov transition mode of the system is 2, the transition probability of the Markov process is generalized matrix Delay Derivative Upper Bound Delay upper bound The time-varying delay of the system τ(t)=0.1sin(5t)+0.1.

[0105] The remaining parameters of the system are:

[0106] Modal one:

[0107]

[0108] C 11 =[0.5 0.6], C 21 =[0.2 0.1], V 1 =[3 0]

[0109]

[0110] Mode two:

[0111]

[0112] C 12 =[0.5 0.1],C 21 =[0.1 0.2], V 2 =[1 0]

...

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Abstract

The invention discloses a composite anti-interference control method of a generalized time-delay Markov jump system under multiple disturbances. The method comprises the following steps: (1) constructing a system model of a generalized time-lag Markov jump system with multiple disturbances; (2) constructing a disturbance observer model to obtain an observation error system model; (3) constructing a controller model to obtain a closed-loop system model of the generalized time-delay Markov jump system; (4) forming an augmented system by the closed-loop system model and the system error model, and giving a linear matrix inequality condition which is randomly allowable under multiple disturbances and meets an H infinity performance index of the system; (5) proving that conditions are effective; and (6) deriving a state feedback controller gain matrix and an observer gain matrix. Under the condition of multiple disturbances, the influence of time varying and time lag is considered, the H-infinity performance analysis of the generalized compound system based on disturbance observer control is researched, the obtained result has the universality of the generalized system, and the control method is simpler, more convenient and more efficient.

Description

technical field [0001] The invention belongs to the field of Markov system control, and in particular relates to a compound anti-interference control method of a generalized time-delay Markov jump system under multiple disturbances. Background technique [0002] Since the existence of disturbance is inevitable in the actual system application process, anti-disturbance control is an important link in the research of control theory, such as Disturbance Observer Based Control (DOBC) control theory, nonlinear regulation theory, and H ∞ Control theory, and other methods are used to attenuate and suppress system disturbances. Among them, the control theory based on disturbance observer has been successfully applied in robot system, missile system, and driving system. When the actual system encounters multiple disturbances, the composite control strategy of DOBC and other control methods has important research significance for realizing more high-precision control performance of t...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042Y02P90/02
Inventor 顾玉蓉安颖康
Owner NANJING UNIV OF SCI & TECH
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