An alternative LMI static output feedback control design for nonlinear systems represented by Takagi-Sugeno models

Víctor Estrada Manzo , Zsofia Lendek , Thierry-Marie Guerra (1)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper presents a static output feedback controller design for discrete-time nonlinear systems exactly represented by Takagi–Sugeno models. By introducing past states in the control law as well as in the Lyapunov function, more relaxed results are obtained. Different conditions in terms of linear matrix inequalities are provided. The proposed conditions are less demanding than the ones in the literature. This is illustrated via numerical examples.

Mots clés: Static output feedback; Nonlinear systems; Delayed non-quadratic Lyapunov function; Linear matrix inequalities

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Zsofia Lendek, Thierry-Marie Guerra. An alternative LMI static output feedback control design for nonlinear systems represented by Takagi-Sugeno models. ISA Transactions, 2019, 84, pp.104-110. ⟨10.1016/j.isatra.2018.08.025⟩. ⟨hal-03405375⟩