Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred
*On the optimal control law for linear discrete time hybrid systems.*
In:
Hybrid Systems: Computation and Control.
Springer-Verlag, pp. 105-119.
ISBN 978-3-540-43321-7
(2002)

## Abstract

In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise afine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming.

Item Type: | Book Section |
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Identification Number: | 10.1007/3-540-45873-5_11 |

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 09:07 |

Last Modified: | 04 Aug 2011 07:29 |

URI: | http://eprints.imtlucca.it/id/eprint/524 |

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