Design method of random system tracking controller with multiplicative noise and time delay

A tracking controller, random system technology, applied in instrumentation, computing, electrical digital data processing, etc.

Inactive Publication Date: 2019-06-25
UNIV OF JINAN
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Problems solved by technology

However, the research on the optimal control of stochastic systems with multiplicative noise and time-delay is rarely involv

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  • Design method of random system tracking controller with multiplicative noise and time delay
  • Design method of random system tracking controller with multiplicative noise and time delay
  • Design method of random system tracking controller with multiplicative noise and time delay

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Embodiment Construction

[0093] The present invention will be further described below in conjunction with specific simulation examples. The design goal of the present invention is to design an optimal tracking controller, which can ensure the stability of the system and have good tracking performance. In the specific implementation process, it is realized with the help of the simulation tool Matlab.

[0094] The first step is to set the system parameters.

[0095] , , , , , , , , , , , , , the initial state is , , .

[0096] The second step is to solve the controller gain and design the tracking controller according to the recursive algorithm.

[0097] The third step is system stability and tracking performance inspection.

[0098] This step will test whether the system stability and tracking meet the design requirements, and realize it with the help of Matlab drawing tool. Depend on Figure 1-3 We can see that the designed controller can quickly stabilize the syst...

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Abstract

The invention discloses a design method of a tracking controller of a random system with multiplicative noise and time delay. A discrete linear system model with an observation function is used for describing a random system which is changed due to sudden environmental disturbance, equipment faults and the like and has multiplicative noise and input time delay, and an augmented system model related to a reference track is established by using an augmented matrix method. Under the condition of a limited time domain, an optimal tracking controller design scheme related to states and reference tracks is provided based on a new maximum value principle, a differential Riccati equation and a Lyapunov theory. In addition, under the condition of infinite time domain, an optimal tracking controllerdesign method capable of enabling the system to be stable is provided according to the Lyapunov stability theory and the algebraic Riccati equation, so that the stability of the system is ensured, and good tracking performance is provided.

Description

technical field [0001] The invention relates to a tracking controller design method for a stochastic system with multiplicative noise and time-delay. It aims at a stochastic system with multiplicative noise and input time-delay described by a discrete linear system with observed output. Augmented system theory for model transformation, based on the new maximum principle, Riccati equation and Lyapunov stability theory, etc., in the case of finite time domain and infinite time domain, the sufficient and necessary conditions for the existence of optimal tracking control are respectively given conditions, and a design method for an optimal tracking controller that is related to both the state and the reference trajectory is proposed. It belongs to the technical field of automatic control. Background technique [0002] In practical systems such as wireless networks, mechanical engineering, and aerospace manufacturing, there are various random factors. For example, the wind and ...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 韩春艳刘越孙钦鹏
Owner UNIV OF JINAN
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