FUZZY LYAPUNOV METHOD FOR STABILITY CONDITIONS OF NONLINEAR SYSTEMS-Reference-Cited by-同舟云学术

FUZZY LYAPUNOV METHOD FOR STABILITY CONDITIONS OF NONLINEAR SYSTEMS

Published:2006-04 Issue:02 Volume:15 Page:163-171
ISSN:0218-2130
Container-title:International Journal on Artificial Intelligence Tools
language:en
Short-container-title:Int. J. Artif. Intell. Tools

Author:

CHEN CHENG-WU¹,CHIANG WEI-LING²,TSAI CHUNG-HUNG³,CHEN CHEN-YUAN⁴,WANG MORRIS H. L.⁵

Affiliation:

1. Department of Logistics Management, Shu-Te University, 59 Hun Shan Rd., Yen Chau, Kaohsiung, Taiwan 82445, R.O.C.

2. Department of Civil Engineering, National Central University, Chung-li, Taiwan 320, R.O.C.

3. Department of Information Management, Taiwan Hospitality & Tourism College, Hualien, Taiwan, R.O.C.

4. Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C.

5. Department of Finance, Vanung University, 1 Vanung Rd., Chung-li, Taiwan 320, R.O.C.

Abstract

This paper proposes a fuzzy Lyapunov method for stability analysis of nonlinear systems represented by Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Based on fuzzy Lyapunov functions, some stability conditions are derived to ensure nonlinear systems are asymptotic stable. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the nonlinear system. This control problem will be reformulated into linear matrix inequalities (LMI) problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Artificial Intelligence

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218213006002618

Reference20 articles.

1. Fuzzy sets

2. Fast naive euclidean concept learning

3. Analysis of a fuzzy logic controller

4. Theoretical and linguistic aspects of the fuzzy logic controller

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