Switching Control Consistency Analysis for Discrete-Time Switched Linear Systems

Abstract

This paper introduces the concept of consistency for discrete-time switched linear systems having the switching function as a primary control signal to be designed, and also proposes a certification of how consistent is such switching function. A state feedback switching control strategy is strictly consistent whenever it improves performance compared to the ones of all isolated subsystems. It is proven that a min-type switching strategy is strictly consistent for classes of H2 and H∞ performance indexes. This property makes clear the importance of switching systems control design in both theoretical and practical application frameworks. The theory is illustrated by means of academic examples.

DOI: 10.3182/20120620-3-DK-2025.00001

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Cite this paper

@inproceedings{Deaecto2012SwitchingCC, title={Switching Control Consistency Analysis for Discrete-Time Switched Linear Systems}, author={Grace S. Deaecto and Andr{\'e} R. Fioravanti and Jos{\'e} Claudio Geromel}, booktitle={ROCOND}, year={2012} }