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 linear, uncertain 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 stabilisable. 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.

Keywords: stabilizing delay; Sliding mode control; output feedback; time delay systems; exponential stability; discretized Lyapunov-Krasovskii functionals; stabilizing delay.

Domains: Automatic

Alexandre Seuret, Chris Edwards, Sarah K. Spurgeon, Emilia Fridman. Static output feedback sliding mode control design via an artificial stabilizing delay. IEEE Transactions on Automatic Control, 2009, 54 (2), pp.256 - 265. ⟨10.1109/TAC.2008.2010889⟩. ⟨hal-00385893⟩