Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred
*Piecewise linear optimal controllers for hybrid systems.*
In:
American Control Conference.
IEEE, Chicago, 28-30 June 2000 , pp. 1190-1194.
ISBN 0-7803-5519-9
(2000)

## Abstract

We propose a procedure for synthesizing piecewise linear optimal controllers for discrete-time hybrid systems. A stabilizing controller is obtained by designing a model predictive controller, which is based on the minimization of a weighted l1/∞-norm of the tracking error and the input trajectories over a finite horizon. The control law is obtained by solving a multiparametric mixed-integer linear program, which avoids solving mixed-integer programs online. As the resulting control law is piecewise affine, online computation is drastically reduced to a simple linear function evaluation

Item Type: | Book Section |
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Identification Number: | 10.1109/ACC.2000.876688 |

Uncontrolled Keywords: | discrete-time systems; hybrid systems; integer programming; linear programming; minimization; model predictive control; piecewise linear optimal control; robust control; continuous time systems; control system synthesis; discrete time systems; integer programming; linear programming; optimal control; predictive control; robust control |

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 09:11 |

Last Modified: | 17 Jul 2014 12:17 |

URI: | http://eprints.imtlucca.it/id/eprint/568 |

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