A NOVEL DELAY-DEPENDENT CRITERION FOR TIME-DELAY T-S FUZZY SYSTEMS USING FUZZY LYAPUNOV METHOD

Author:

CHEN CHENG-WU1,LIN CHEN-LIANG2,TSAI CHUNG-HUNG34,CHEN CHEN-YUAN5,YEH KEN6

Affiliation:

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

2. Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, R.O.C.

3. Center of Tour Geographical Information Systems, Taiwan Hospitality & Tourism College, Chungshin St., Fengshan, Shoufeng, Hualien, Taiwan 974, R.O.C.

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

5. Department of Management Information System, Yung-Ta Institute of Technology and Commerce, 316 Jong Shan Rd., Lin Luoh, Pingtung County 90941, Taiwan, R.O.C.

6. Department of Civil Engineering, De-Lin Institute of Technology, Tucheng, Taipei, Taiwan, R.O.C.

Abstract

This study presents an H controller design for time-delay T-S fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delay-dependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI).

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Artificial Intelligence

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