Method for designing indirect adaptive fuzzy optimal synchronous controller of uncertain chaotic system

A technology for synchronous controllers and chaotic systems, applied in adaptive control, general control systems, control/regulation systems, etc., can solve problems such as dynamical uncertainty

Active Publication Date: 2020-03-24
ZHEJIANG UNIV
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This patent uses the relationship between fuzzy programming structure and optimal control to design an indirect adaptiv...

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  • Method for designing indirect adaptive fuzzy optimal synchronous controller of uncertain chaotic system
  • Method for designing indirect adaptive fuzzy optimal synchronous controller of uncertain chaotic system
  • Method for designing indirect adaptive fuzzy optimal synchronous controller of uncertain chaotic system

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Embodiment Construction

[0091] The technical solution of this patent will be further described in detail below in conjunction with the accompanying drawings and specific implementation steps.

[0092] The control flow diagram of an indirect self-adaptive optimal synchronous controller for an uncertain chaotic system is as follows: figure 1 As shown, it mainly includes three parts: self-organizing fuzzy planner, adaptive optimal controller and adaptive supervised recursive compensator. The control idea is relatively clear and clear, and it is easy to implement.

[0093] refer to figure 2 and image 3 As shown, the technical solution is implemented in the scenario where the chaotic Genesio system is selected as the main reference system and the uncertain chaotic Lorenzo system is used as the controlled slave system. Both chaotic systems consist of three system states:

[0094] A. Chaos Genesio system:

[0095]

[0096] Among them, b, c and d are positive real constants satisfying cd1 =-0.1 sint...

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Abstract

The invention discloses a method for designing an indirect adaptive optimal synchronous controller of an uncertain chaotic system. The method comprises the following steps of: A, constructing a synchronous weight matrix self-organizing fuzzy planner of the uncertain chaotic system; B, designing a self-adaptive optimal synchronous controller; C, designing an adaptive supervised recursive compensator; and D, performing stability analysis on the controller closed-loop system. The design of the optimal synchronous controller is completed through the design method; the synchronization uncertainty,the parameter perturbation and the interference can be compensated in a very short time according to the system state; the trajectory and tracking error of the controlled chaotic system are convergednear an expected value (domain), and the synchronous residual error is further reduced and eliminated in combination with an adaptive recursion supervision compensator, so that the synchronous stability of the uncertain hybrid system is ensured, and the synchronous control precision and performance are effectively improved.

Description

technical field [0001] The present invention relates to a method for synchronous control of an uncertain chaotic system. More precisely, it designs an indirect self-adaptive fuzzy optimal synchronous controller for an uncertain chaotic system in view of the uncertain dynamics and parameters of the master-slave chaotic system. To ensure the accuracy of trajectory tracking and error convergence of the two chaotic system components. [0002] technical background [0003] The chaotic system synchronization problem has attracted more and more research interests because of its potential application prospects and value in many scientific fields, such as biological systems, chemical processes, secure communications, energy conversion and utilization, and information processing. Chaotic synchronization needs to use the state of the master chaotic system as a reference signal to drive the state of the slave chaotic system in real time, which brings more challenges to the synchronizatio...

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 张海运王进孟德远翟安邦杨鹏程戚仁杰陆国栋
Owner ZHEJIANG UNIV
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