Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems.pdf

Automatica 48 (2012) 808–814 Contents lists available at SciVerse ScienceDirect Automatica journal homepage: /locate/automatica Brief paper Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems✩ Magdi S. Mahmoud, Amin-ud-din Qureshi Systems Engineering Department, KFUPM, P.O. 5067, Dhahran 31261, Saudi Arabia a r t i c l e i n f o a b s t r a c t Article history: Global decentralized discrete sliding mode control of a class of interconnected system using only Received 12 December 2010 output information is considered in this paper. Matched and unmatched uncertainties as well as known Received in revised form and unknown interconnections are treated. Bounded time-varying delays are considered within the 14 September 2011 subsystems and through interconnections. The stability of the reduced-order interconnected systems is Accepted 17 September 2011 Available online 15 March 2012 analyzed using the Lyapunov–Kraszovskii approach and a novel reachability condition of the composite sliding surfaces is established. The resultant dynamics are proved to be globally asymptotically stable. Simulations show the efficacy of the proposed scheme. Keywords: Discrete systems © 2012 Elsevier Ltd. All rights reserved. Time-delay systems Discrete sliding-mode control Interconnected systems