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

Huan Yu, Yuechao Ma and Junwei Liu

International Journal of Systems Science, 2020, vol. 51, issue 16, 3179-3198

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.

Date: 2020
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DOI: 10.1080/00207721.2020.1809746

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