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Extended dissipative analysis for T–S fuzzy system with sampled-data input and actuator fault

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  • Huan Yu
  • Yuechao Ma
  • Junwei Liu

Abstract

This paper is concerned with reliable robust sampled-data control for T–S fuzzy system with time-varying delay. By adjusting the free weight matrix in the concept of extended dissipative, ${{H}_{\infty }} $H∞, ${{L}_{2}}-{{L}_{\infty }} $L2−L∞, passive and $(Q,S,R ) $(Q,S,R)-dissipative performance are solved in a unified framework. A novel mode-dependent Lyapunov–Krasovskii functional (LKF) is constructed, which fully utilises the characteristics of the real sampling period. Based on Lyapunov stability theory, Newton–Leibniz condition and new integral inequality techniques, some less conservative sufficient conditions are obtained to guarantee the close-loop system is asymptotically stable and extended dissipative. Based on sampled-data approach, a robust reliable controller can be developed by solving the linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed design method can be illustrated by several numerical examples.

Suggested Citation

  • Huan Yu & Yuechao Ma & Junwei Liu, 2020. "Extended dissipative analysis for T–S fuzzy system with sampled-data input and actuator fault," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3179-3198, December.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3179-3198
    DOI: 10.1080/00207721.2020.1809746
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