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Observability and controllability of piecewise affine and hybrid systems

Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Morari, Manfred Observability and controllability of piecewise affine and hybrid systems. IEEE Transactions on Automatic Control, 45 (10). pp. 1864-1876. ISSN 0018-9286 (2000)

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We prove, in a constructive way, the equivalence between piecewise affine systems and a broad class of hybrid systems described by interacting linear dynamics, automata, and propositional logic. By focusing our investigation on the former class, we show through counterexamples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming.

Item Type: Article
Identification Number: 10.1109/TAC.2000.880987
Uncontrolled Keywords: hybrid systems; interacting linear dynamics; mixed-integer linear programming; numerical tests; piecewise affine systems; propositional logic; automata theory; controllability; formal logic; integer programming; linear programming; observability
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 09:11
Last Modified: 17 Jul 2014 12:15
URI: http://eprints.imtlucca.it/id/eprint/446

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