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An efficient branch and bound algorithm for state estimation and control of hybrid systems

Bemporad, Alberto and Mignone, Domenico and Morari, Manfred An efficient branch and bound algorithm for state estimation and control of hybrid systems. In: European control conference, Karlsruhe, Germany (1999)

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Abstract

This paper presents a new Branch and Bound tree exploring strategy for solving Mixed Integer Quadratic Programs (MIQP) involving time evolutions of linear hybrid systems. In particular, we refer to the Mixed Logical Dynamical (MLD) models introduced by Bemporad and Morari, 1999, where the hybrid system is described by linear equations/inequalities involving continuous and integer variables. For the optimizations required by the controller synthesis and state estimation of MLD systems, the proposed algorithm reduces the average number of node explorations during the search of a global minimum. It also provides good local minima after a short number of steps of the Branch and Bound procedure.

Item Type: Conference or Workshop Item (Paper)
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 09:18
Last Modified: 16 Jul 2014 14:26
URI: http://eprints.imtlucca.it/id/eprint/606

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