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Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach

Author

Listed:
  • Qi Zhou
  • Yabin Gao
  • Hongyi Li
  • Hamid Reza Karimi

Abstract

This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-time passive performance index is established in this paper for the control design problem. By constructing a new type ofLyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighing matrices, a new passive performance condition is proposed for the system under consideration. Based on the condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. The existence conditions of the controller can be expressed by linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Qi Zhou & Yabin Gao & Hongyi Li & Hamid Reza Karimi, 2013. "Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, November.
    • Handle: RePEc:hin:jnlmpe:724918
    DOI: 10.1155/2013/724918
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