[1] Zhang Tianping, Zhu Qing, Zhang Huiyan, Gu Haijun, et al. Direct adaptive fuzzy controlbased on integral-type Lyapunov function [J]. Journal of Southeast University (English Edition), 2003, 19 (1): 92-97. [doi:10.3969/j.issn.1003-7985.2003.01.021]

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Direct adaptive fuzzy controlbased on integral-type Lyapunov function()

基于积分型李亚普诺夫函数的直接自适应模糊控制

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

19

Issue:

2003 1

Page:

92-97

Research Field:

Automation

Publishing date:

2003-03-30

Info

Title:

Direct adaptive fuzzy controlbased on integral-type Lyapunov function

基于积分型李亚普诺夫函数的直接自适应模糊控制

Author(s):

Zhang Tianping;  Zhu Qing;  Zhang Huiyan;  Gu Haijun

Department of Computer Science, College of Information Engineering, Yangzhou University, Yangzhou 225009, China

张天平;  朱清;  张惠艳;  顾海军

扬州大学信息工程学院计算机系, 扬州 225009

Keywords:

fuzzy systems;  fuzzy control;  adaptive control;  global stability

模糊系统;  模糊控制;  自适应控制;  全局稳定性

PACS:

TP273.4+

DOI:

10.3969/j.issn.1003-7985.2003.01.021

Abstract:

A new scheme of direct adaptive fuzzy controller for a class of nonlinear systems with unknown triangular control gain structure is proposed. The design is based on the principle of sliding mode control and the approximation capability of the first type fuzzy systems. By introducing integral-type Lyapunov function and adopting the adaptive compensation term of optimal approximation error, the closed-loop control system is proved to be globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach.

针对一类具有未知下三角形函数控制增益矩阵的非线性系统, 根据滑模控制原理, 并利用I型模糊系统的逼近能力, 提出了一种直接自适应模糊控制器设计的新方案.通过引入积分型李亚普诺夫函数及逼近误差自适应补偿项, 证明了闭环系统是全局稳定的, 跟踪误差收敛到零.仿真结果表明了该方法的有效性.

References:

[1] Wang L X. Stable adaptive fuzzy control of nonlinear systems[J]. IEEE Trans on Fuzzy Systems, 1993, 1(2):146-155.
[2] Wang L X. Adaptive fuzzy systems and control-design and stability analysis[M]. New Jersey:Prentice Hall, 1994. 291-339.
[3] Zhang T P. Stable adaptive fuzzy sliding mode control of interconnected systems[J]. Fuzzy Sets and Systems, 2001, 122(1): 5-19.
[4] Zhang T P. New design of an adaptive fuzzy variable structure controller [J]. Control and Decision, 2000, 15(6): 678-681.(in Chinese)
[5] Zhang T, Ge S S, Hang C C. Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function [J]. IEEE Trans on Automatic Control, 2000, 45(1): 129-132.
[6]Ge S S, Hang C C, Zhang T. Stable adaptive control for nonlinear multivariable systems with a triangular control structure [J]. IEEE Trans on Automatic Control, 2000, 45(6): 1221-1225.
[7] Chen S C, Chen W L. Adaptive radial basis function neural network control with variable parameters [J]. Int J Systems Science, 2001, 32(4): 413-424.

Memo

Memo:

Biography: Zhang Tianping(1964—), male, doctor, professor, tpzhang@mail.yzu.edu.cn.

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