[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]

Copy

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

Share：

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

Author(s):

Zhang Tianping;  Zhu Qing;  Zhang Huiyan;  Gu Haijun

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

Keywords:

fuzzy systems;  fuzzy control;  adaptive control;  global stability

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.

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.

Common functions