Observer-based Robust H-infinity Control for Uncertain Discrete-time T-S Fuzzy Systems

A. Bentaleb (1) , A. Benzaouia , A. El Hajjaji (2) , A. Karama (3)

1 CRPP - Centre de Recherche Paul Pascal
2 MIS - Modélisation, Information et Systèmes - UR UPJV 4290
3 Faculté des Sciences Semlalia [Marrakech]

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.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

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⟩