Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm

H. K. Lam; Hung Fat Frank Leung; Peter K S Tam

doi:10.1109/TSMCB.2003.810440

Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm

H. K. Lam, Hung Fat Frank Leung, Peter K S Tam

The Hong Kong Polytechnic University

Research output: Journal article publication › Review article › Academic research › peer-review

60 Citations (Scopus)

Abstract

This paper presents the stability analysis of fuzzy model-based nonlinear control systems, and the design of nonlinear gains and feedback gains of the nonlinear controller using genetic algorithm (GA) with arithmetic crossover and nonuniform mutation. A stability condition will be derived based on Lyapunov's stability theory with a smaller number of Lyapunov conditions. The solution of the stability conditions are also determined using GA. An application example of stabilizing a cart-pole typed inverted pendulum system will be given to show the stabilizability of the nonlinear controller.

Original language	English
Pages (from-to)	250-257
Number of pages	8
Journal	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume	33
Issue number	2
DOIs	https://doi.org/10.1109/TSMCB.2003.810440
Publication status	Published - 1 Apr 2003

Keywords

Fuzzy plant model
Genetic algorithm (GA)
Nonlinear controller
Nonlinear systems
Stability

ASJC Scopus subject areas

Control and Systems Engineering
Software
General Medicine
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

More information

10.1109/TSMCB.2003.810440

http://hdl.handle.net/10397/1447

Cite this

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Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm. / Lam, H. K.; Leung, Hung Fat Frank; Tam, Peter K S.
In: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, Vol. 33, No. 2, 01.04.2003, p. 250-257.

Research output: Journal article publication › Review article › Academic research › peer-review

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AB - This paper presents the stability analysis of fuzzy model-based nonlinear control systems, and the design of nonlinear gains and feedback gains of the nonlinear controller using genetic algorithm (GA) with arithmetic crossover and nonuniform mutation. A stability condition will be derived based on Lyapunov's stability theory with a smaller number of Lyapunov conditions. The solution of the stability conditions are also determined using GA. An application example of stabilizing a cart-pole typed inverted pendulum system will be given to show the stabilizability of the nonlinear controller.

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Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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