Stability results for switched controller systems

Authors:
Efstratios Skafidas;Robin J. Evans;Andrey V. Savkin;Ian R. Petersen
Affiliations:
Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, Victoria 3052, Australia;Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, Victoria 3052, Australia;Department of Electrical and Electronic Engineering, University of Western Australia, Nedlands, Perth WA 6009, Australia;Department of Electrical Engineering, Australian Defense Force Academy, Campbell, Australian Capital Territory 2600, Australia
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

There are many practical control problems where the control action is determined by switching among a given set of control laws. This paper presents necessary and sufficient conditions to test for quadratic stabilizability and for robust stabilizability with a quadratic storage function for switched controller systems. Algorithms which can be used to construct appropriately stabilizing control laws are also presented.