Abstract : This paper investigates robust observer based H(infinity )control problem for uncertain discret-time Takagi-Sugeno fuzzy systems. By using fuzzy Lyapunov functions and some special derivations, Sufficient relaxed conditions for synthesis of a fuzzy observer and a fuzzy controller for T-S fuzzy systems are derived in terms of a set of linear matrix inequalities (LMIs) which can be solved using a single-step procedure. The proposed approach provides more relaxed conditions comparing with the existing techniques in literature which use a quadratic Lyapunov function and the so-called two-step procedure, also ensures better H(infinity )control performance. Simulation example is presented to show the effectiveness of the proposed design method. Copyright (C) 2020 The Authors.
A. Bentaleb, A. Benzaouia, A. El Hajjaji, A. Karama. Observer-based Robust H-infinity Control for Uncertain Discrete-time T-S Fuzzy Systems. Ifac Papersonline, 2020, 53 (2), pp.6268-6273. ⟨10.1016/j.ifacol.2020.12.1742⟩. ⟨hal-03633178⟩