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Design of stable fuzzy control systems using Lyapunov's method in fuzzy hypercubes

✍ Scribed by Chaio-Shiung Chen

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
442 KB
Volume
139
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, a systematic procedure is presented to analyze and design a stable fuzzy controller for a class of nonlinear systems. Based on the Lyapunov's directive method, we account for the relationship between the stability of the control system and the I/O sets of the fuzzy controller. First, the state space is partitioned into fuzzy hypercubes according to the product space of the input fuzzy sets of the states. Then, all fuzzy hypercubes are considered and made to satisfy the Lyapunov's stability condition by choosing proper output centers of the associated fuzzy rules. Through the proposed design guideline, it is also possible to determine the performance and accuracy of fuzzy control systems. An example with a fuzzy controller for a chaotic system is presented to illustrate the design procedure.

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