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Event-driven optimization-based control of hybrid systems with integral continuous-time dynamics

Di Cairano, Stefano and Bemporad, Alberto and Júlvez, Jorge Event-driven optimization-based control of hybrid systems with integral continuous-time dynamics. Automatica, 45 (5). pp. 1243-1251. (2009)

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In this paper we introduce a class of continuous-time hybrid dynamical systems called integral continuous-time hybrid automata (icHA) for which we propose an event-driven optimization-based control strategy. Events include both external actions applied to the system and changes of continuous dynamics (mode switches). The icHA formalism subsumes a number of hybrid dynamical systems with practical interest, e.g., linear hybrid automata. Different cost functions, including minimum-time and minimum-effort criteria, and constraints are examined in the event-driven optimal control formulation. This is translated into a finite-dimensional mixed-integer optimization problem, in which the event instants and the corresponding values of the control input are the optimization variables. As a consequence, the proposed approach has the advantage of automatically adjusting the attention of the controller to the frequency of event occurrence in the hybrid process. A receding horizon control scheme exploiting the event-based optimal control formulation is proposed as a feedback control strategy and proved to ensure either finite-time or asymptotic convergence of the closed-loop.

Item Type: Article
Identification Number: 10.1016/j.automatica.2008.12.011
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:32
Last Modified: 05 Mar 2014 13:43
URI: http://eprints.imtlucca.it/id/eprint/475

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