Output feedback stabilization for uncertain nonlinear time-delay systems subject to input constraints

David P. Goodall (1) , Romain Postoyan (2)

1 Control Theory & Applications Centre, Coventry University
2 L2S - Laboratoire des signaux et systèmes

Robust stabilization of a class of imperfectly known systems with time-varying time-delays via output feedback is investigated. The systems addressed are composed of a nonlinear nominal sys- tem influenced by nonlinear perturbations which may be time-, state, delayed state, and/or input- dependent. The output of the system is modelled by a nonlinear function, which may depend on the delayed states, and inputs, together with a feed-through term. Using bounding information on the perturbations, in terms of specified growth conditions, classes of unconstrained and constrained output feedback controllers are designed in order to guarantee a prescribed stability property for the closed-loop systems, provided appropriate stability criteria hold. Two stability criterion are given: one in terms of a Linear Matrix Inequality (LMI), the other is algebraic in nature, obtained using a Gersgorin theorem.

Mots clés: Time-delay systems; nonlinear systems; output feedback; robust stabilization

Domaines: Automatique / Robotique

David P. Goodall, Romain Postoyan. Output feedback stabilization for uncertain nonlinear time-delay systems subject to input constraints. International Journal of Control, 2010, 83 (4), pp.676-693. ⟨10.1080/00207170903377119⟩. ⟨hal-00768711⟩