Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach

• Autorzy: Changjiu Zhou
• Języki publikacji: EN

Abstrakty

EN

A novel approach to designing stable fuzzy controllers with perception-based information using fuzzy-arithmetic-based Lyapunov synthesis in the frame of computing with words (CW) is presented. It is shown that a set of conventional fuzzy control rules can be derived from the perception-based information using the standard-fuzzy-arithmetic-based Lyapunov synthesis approach. On the other hand, a singleton fuzzy controller can be devised by using a constrained-fuzzy-arithmetic-based Lyapunov synthesis approach. Furthermore, the stability of the fuzzy controllers can be guaranteed by means of the fuzzy version of Lyapunov stability analysis. Moreover, by introducing standard and constrained fuzzy arithmetic in CW, the 'words' represented by fuzzy numbers could be efficiently manipulated to design fuzzy controllers. The results obtained are illustrated with the design of stable fuzzy controllers for an autonomous pole balancing mobile robot.

Słowa kluczowe

EN

fuzzy control; computing with words; pole balancing mobile robot; standard fuzzy arithmetic; Lyapunov synthesis; constrained fuzzy arithmetic; perception-based information; stability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: 12
• Numer: 3
• Strony: 411-421

Daty

wydano

2002

otrzymano

2002-03-01

poprawiono

2002-06-01

Twórcy

autor

Changjiu Zhou

• School of Electrical and Electronic Engineering Singapore Polytechnic, 500 Dover Road, Singapore 139651, Republic of Singapore

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