Sufficient conditions for global synchronization of continuous piecewise affine systems

Authors:
Hanéne Mkaouar;Olfa Boubaker
Affiliations:
National Institute of Applied Sciences and Technology and University of Carthage, INSAT, Tunis Cedex, Tunisia;National Institute of Applied Sciences and Technology and University of Carthage, INSAT, Tunis Cedex, Tunisia
Venue:
AIS'11 Proceedings of the Second international conference on Autonomous and intelligent systems
Year:
2011

Citing 4
Cited 0

On self-synchronization and controlled synchronization

Systems & Control Letters - Special issue: Control of chaos and synchronization
Brief paper: Stability of sampled-data piecewise-affine systems under state feedback

Automatica (Journal of IFAC)
Brief paper: Tracking and synchronisation for a class of PWA systems

Automatica (Journal of IFAC)
Control of systems integrating logic, dynamics, and constraints

Automatica (Journal of IFAC)

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Abstract

This paper focuses on master slave synchronization problem of piecewise affine (PWA) systems of continuous type. The synchronization problem is solved as a global asymptotic stability problem of the error dynamics between the master and the slave systems via a state feedback control law. Using a Lyapunov approach and the so-called S-procedure, new sufficient conditions are proposed. The synchronization criteria are formulated as Linear Matrix Inequalities (LMIs) which are efficiently solved via common software. Two engineering systems are finally used to illustrate the efficiency of the proposed approach: A non smooth mechanical system and a non linear electrical circuit. Simulation results prove that the synchronization problem is achieved with success applying the proposed strategy.