Bemporad, Alberto and Morari, Manfred
*Optimization-based hybrid control tools.*
In:
American Control Conference.
IEEE, Arlington, VA June 25-27, 2001, 1689 -1703 .
ISBN 0-7803-6495-3
(2001)

## Abstract

The paper discusses a framework for modeling, analyzing and controlling systems whose behavior is governed by interdependent physical laws, logic rules, and operating constraints, denoted as Mixed Logical Dynamical (MLD) systems. They are described by linear dynamic equations subject to linear inequalities involving real and integer variables. MLD models are equivalent to various other system descriptions like Piecewise Affine (PWA) systems and Linear Complementarity (LC) systems. They have the advantage, however, that many problems of system analysis (like reachability/controllability, observability, and verification) and many problems of synthesis (like controller design and filter design) can be readily expressed as mixed integer linear or quadratic programs, for which many commercial software packages exist. In this paper we first recall MLD models and the modeling language HYSDEL (HYbrid Systems DEscription Language). Subsequently, we illustrate the use of Model Predictive Control (MPC) based on mixed-integer programming for hybrid MLD models, and the use of multiparametric programming for obtaining explicitly the equivalent piecewise linear control form of MPC. The eventual practical success of these methods will depend on progress in the development of the various optimization algorithms and tools so that problems of realistic size can be tackled

Item Type: | Book Section |
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Identification Number: | 10.1109/ACC.2001.945973 |

Uncontrolled Keywords: | HYSDEL; MLD models; Mixed Logical Dynamical systems; Model Predictive Control; controller design; modeling language; multiparametric programming; piecewise linear control; control system CAD; linear systems; optimal control; piecewise linear techniques; predictive control; reachability analysis |

Subjects: | Q Science > QA Mathematics 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 09:09 |

Last Modified: | 17 Jul 2014 12:47 |

URI: | http://eprints.imtlucca.it/id/eprint/577 |

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