Bemporad, Alberto and Morari, Manfred
*Control of systems integrating logic, dynamics, and constraints.*
Automatica, 35 (3).
pp. 407-427.
ISSN 0005-1098
(1999)

## Abstract

This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as mixed logical dynamical (MLD) systems. These are described by linear dynamic equations subject to linear inequalities involving real and integer variables. MLD systems include linear hybrid systems, finite state machines, some classes of discrete event systems, constrained linear systems, and nonlinear systems which can be approximated by piecewise linear functions. A predictive control scheme is proposed which is able to stabilize MLD systems on desired reference trajectories while fulfilling operating constraints, and possibly take into account previous qualitative knowledge in the form of heuristic rules. Due to the presence of integer variables, the resulting on-line optimization procedures are solved through mixed integer quadratic programming (MIQP), for which efficient solvers have been recently developed. Some examples and a simulation case study on a complex gas supply system are reported.

Item Type: | Article |
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Identification Number: | 10.1016/S0005-1098(98)00178-2 |

Uncontrolled Keywords: | Hybrid systems; Predictive control; Dynamic models; Binary logic systems; Boolean logic; Mixed-integer programming; Optimization problems |

Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Research Area: | Computer Science and Applications |

Depositing User: | Professor Alberto Bemporad |

Date Deposited: | 27 Jul 2011 09:18 |

Last Modified: | 16 Jul 2014 14:20 |

URI: | http://eprints.imtlucca.it/id/eprint/447 |

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