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Fuzzy control method based on chaotic system

A chaotic system and fuzzy control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problem that the system state cannot be directly measured, and achieve the effect of reducing conservatism and expanding the range of solutions

Inactive Publication Date: 2013-07-10
王少夫
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The design of the fuzzy observer solves the problem that the state of the system cannot be measured directly

Method used

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  • Fuzzy control method based on chaotic system
  • Fuzzy control method based on chaotic system
  • Fuzzy control method based on chaotic system

Examples

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Embodiment 1

[0020] The state equation description and T-S fuzzy dynamic equation description of the controlled Lorenz system are shown in the following formulas respectively.

[0021] x · 1 = - a x 1 + ax 2 + u 1

[0022] x · 2 = c x 1 - x 2 - x 1 x 3 + u 2 - - - ( 5 )

[0023] x · 3 = x 1 ...

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Abstract

The invention provides a fuzzy control method based on a chaotic system. According to the method, a piecewise Lyapunov function method is adopted for design first, namely a Lyapunov function is selected for each subsystem, and an aggregate Lyapunov function of a system is a weighted sum of the functions of all the subsystems. Difficulty in solving a common positive definite matrix in a parallel distribution compensation (PDC) method is avoided, conservatism of the design is further reduced, and the range of the solution is widened. The design of a fuzzy observer solves the problem that the state of the system can not be measured directly. Through simulation of the chaotic system, effectiveness of the method is testified. The scheme is also suitable for nonlinear system control of other types, can be used for reference and has practical application value.

Description

technical field [0001] The invention relates to a fuzzy control method based on a chaotic system, which is suitable for the fields of fuzzy control and secret communication. technical background [0002] Chaos synchronization has a very broad application prospect in secure communication, signal processing and life sciences. Recently, there has been a lot of interest in using different methods to couple two identical or different chaotic systems to synchronize, using the active control method, the global control method and the variable replacement method to realize the anti-synchronization of hyper-chaotic systems, and proposed more For a practical anti-synchronization scheme, Gamal M.Mahmoud proposed two complex nonlinear coupling chaos synchronization, linear nonlinear transformation method, etc. [0003] Based on the knowledge and experience of experts, fuzzy control can effectively control complex nonlinear systems that are difficult to model, and is suitable for solving...

Claims

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Application Information

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IPC IPC(8): G05B13/04
Inventor 王少夫
Owner 王少夫
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