Robust static output feedback sliding mode control design via an artificial stabilizing delay

Alexandre Seuret (1) , Chris Edwards (2) , Sarah K. Spurgeon (3) , Emilia Fridman (4)

1 NECS - Networked Controlled Systems
2 Control and Instrumentation Research Group [Lancaster]
3 Department of Electronics
4 Department of Electrical Engineering

It is well known that for uncertain linear systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilizable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.

Mots clés: Robustness; Sliding mode control; Output feedback; Exponential stability; Discretized Lyapunov-Krasovskii functionals; stabilizing delay; Robustness.

Domaines: Automatique / Robotique

Alexandre Seuret, Chris Edwards, Sarah K. Spurgeon, Emilia Fridman. Robust static output feedback sliding mode control design via an artificial stabilizing delay. IFAC WC 2008 - 17th IFAC World Congress, Jul 2008, Séoul, South Korea. 6p. ⟨hal-00386290⟩