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Optimal state-feedback quadratic regulation of linear hybrid automata

Bemporad, Alberto and Corona, Daniele and Giua, Alessandro and Seatzu, Carla Optimal state-feedback quadratic regulation of linear hybrid automata. In: Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference. Elsevier, pp. 369-378. ISBN 0-08-044094-0 (2003)

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For linear hybrid automata, namely switched linear autonomous systems whose mode of operation is determined by a controlled automaton, in this paper we face the problem of optimal control, where the objective is to minimize a quadratic performance index over an infinite time horizon. The quantities to be optimized are the sequence of switching times and the sequence of modes (or ”locations”), under the following constraints: the sequence of modes has a finite length; the discrete dynamics of the automaton restricts the possible switches from a given location to the next location, with a cost associated to each switch; the time interval between two consecutive switching times is greater than a fixed quantity. We show how a state-feedback solution can be computed off-line through a numerical procedure.

Item Type: Book Section
Uncontrolled Keywords: hybrid systems; switched systems; hybrid automata; optimal control
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:04
Last Modified: 04 Aug 2011 07:29
URI: http://eprints.imtlucca.it/id/eprint/553

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