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Enhanced Predictor-Based Control Synthesis for Discrete-Time TS Fuzzy Descriptor Systems With Time-Varying Input Delays

Abstract : We present a novel predictor-feedback gain-scheduled control synthesis method for discrete-time Takagi-Sugeno (TS) fuzzy descriptor systems with unknown time-varying input delays. The goal is to reduce the computational complexity in the control design by keeping the descriptor form whilst improving the closed-loop robust performance. It is worth mentioning the following aspects: 1) our approach easily allows dealing with parametric uncertainties on the descriptor matrix, which are generally difficult to handle via matrix inversion; and 2) the control design problem is casted into linear matrix inequality conditions by using nonquadratic Lyapunov functions, the Projection Lemma, and small gain theory. Finally, three examples are provided to show the effectiveness of the proposed method.
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https://hal-uphf.archives-ouvertes.fr/hal-03680078
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Submitted on : Friday, May 27, 2022 - 2:21:57 PM
Last modification on : Saturday, May 28, 2022 - 3:42:21 AM

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Antonio Gonzalez Sorribes, Thierry-Marie Guerra. Enhanced Predictor-Based Control Synthesis for Discrete-Time TS Fuzzy Descriptor Systems With Time-Varying Input Delays. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2019, 27 (2), pp.402-410. ⟨10.1109/TFUZZ.2018.2882169⟩. ⟨hal-03680078⟩

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