# Synthesis of state-feedback optimal controllers for switched linear systems

Bemporad, Alberto and Giua, Alessandro and Seatzu, Carla Synthesis of state-feedback optimal controllers for switched linear systems. In: Decision and Control Conference. IEEE, Las Vegas, Nevada USA, December 2002, pp. 3182-3187. ISBN 0-7803-7516-5 (2002)

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## Abstract

The paper deals with the optimal control of switched piecewise linear autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length: the unknown switching times and the switching sequence are the optimization parameters. We also assume that a cost may be associated to each switch. The optimal control for this class of systems takes the form of a state feedback, i.e., it is possible to identify a set of regions of the state space such that an optimal switch should occur if and only if the present state belongs to one of them. We show how the tables containing these regions can be computed off-line through a numerical procedure.

Item Type: Book Section 10.1109/CDC.2002.1184360 continuous-time switched linear systems; infinite time horizon; state feedback; state space; state-feedback optimal controllers; switched piecewise linear autonomous systems; computational complexity; continuous time systems; control system synthesis; optimal control; optimisation; state feedback; time-varying systems Q Science > QA MathematicsQ Science > QA Mathematics > QA75 Electronic computers. Computer scienceT Technology > TJ Mechanical engineering and machinery Computer Science and Applications Professor Alberto Bemporad 27 Jul 2011 09:05 17 Jul 2014 12:50 http://eprints.imtlucca.it/id/eprint/549