Exponential stabilization using sliding mode control for non linear systems with time-varying delays

Alexandre Seuret (1) , M. Irfan (1) , Chris Edwards (1) , Sarah K. Spurgeon (2)

1 Control and Instrumentation Research Group [Lancaster]
2 Department of Electronics

This paper deals with exponential stabilization of linear systems with delay using a state feedback sliding mode controller. The approach is based on Lyapunov-Krasovskii techniques and uses a descriptor representation. The exponential stability properties are proved using an appropriate change of variables associated with a polytopic representation. The system under consideration is subject to unknown, time-varying but bounded delays. The results are given in terms of LMIs. An example is given to show the efficacy of the approach.

Mots clés: Time-Varying Delay; Exponential Stability and Stabilization; LMI; Polytopic Representation; Sliding Mode Control.; Sliding Mode Control

Domaines: Automatique / Robotique

Alexandre Seuret, M. Irfan, Chris Edwards, Sarah K. Spurgeon. Exponential stabilization using sliding mode control for non linear systems with time-varying delays. 46th IEEE Conference on Decision and Control, 2007, Dec 2007, New Orleans, LA, United States. pp.10.1109/CDC.2007.4434453, ⟨10.1109/CDC.2007.4434453⟩. ⟨hal-00386282⟩