吉林大学学报(工学版) ›› 2010, Vol. 40 ›› Issue (03): 795-0799.

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Fuzzy static output feedback control based on iterative linear matrix inequality

XU Tao1,2,YANG Xiao-guang3,ZUO Wen-jie2,YU Zheng-lei2,HAO Liang2   

  1. 1.State Key Laboratory of Automobile Dynamic Simulation, Jilin University, Changchun 130022,China|2.College of Mechanical Science and Engineering, Jilin University, Changchun 130022,China;3.Department of |Mathematics, Dalian Maritime University, Dalian 116026, China
  • Received:2008-07-21 Online:2010-05-01 Published:2010-05-01

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Abstract:

The quadratic stability conditions for a class of discrete TS fuzzy systems are studied. In these systems uncertain terms exist in the state matrix, input matrix and disturbance input matrix. New stability conditions for fuzzy static output feedback control are proposed. The sufficient Linear Matrix Inequality (LMI) conditions are also proposed, which ensure the existence of fuzzy static output feedback controllers based on the TS fuzzy systems. The sufficient LMI conditions are not only simple, but also consider the interactions among the fuzzy sub systems. Numerical simulation using Iterative Linear Matrix Inequality (ILMI) technique demonstrates the correctness and the effectiveness of the design methodology.

Key words: automatic control technology, uncertain T-S fuzzy systems, static output feedback control, iterative linear matrix inequality (ILMI), feedback gain

CLC Number: 

  • TP13
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