Stabilisation of time-delay switched systems with constrained switching signals and its applications in networked control systems

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© The Institution of Engineering and Technology
Published 14/07/2012

Abstract

This study focuses on investigating the asymptotical stabilisability of time-delay switched systems with constrained switching signals and its applications in networked control systems (NCSs). First, based on an important lemma, asymptotical stabilisability criteria are established and stabilising switched output feedback controllers can be designed. Then, for NCSs with dropouts, the dropouts are modelled as the time delay in the control input and the switching signal in controller. Thus, the NCS with dropouts can be equivalently converted into a switched system with constrained switching signals and time delay. The asymptotical stabilisability criteria of such switched system can be applicable to the NCS with dropouts. The maximum allowable dropout bound can be obtained by solving an optimisation problem. Finally, two examples are given to illustrate the authors' main results.

Inspec keywords: control system synthesis; delays; time-varying systems; asymptotic stability; feedback; distributed control; optimisation

Other keywords: dropouts; asymptotical stabilisability; constrained switching signals; output feedback controllers; networked control systems; time delay switched systems; optimisation problem

Subjects: Time-varying control systems; Distributed parameter control systems; Optimisation techniques; Stability in control theory; Control system analysis and synthesis methods

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