Canale, Massimo and Cerone, Vito and Piga, Dario and Regruto, Diego
*Approximation of model predictive control laws for polynomial systems.*
Asian Journal of Control , 16 (5).
pp. 1425-1436.
ISSN 1561-8625
(2014)

## Abstract

A fast implementation of a given predictive controller for polynomial systems is introduced by approximating the optimal control law with a piecewise constant function defined over a hyper-cube partition of the system state space. Such a state-space partition is computed in order to guarantee stability, an a priori fixed trajectory error as well as input and state constraints fulfilment. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems.

Item Type: | Article |
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Identification Number: | 10.1002/asjc.863 |

Uncontrolled Keywords: | LMI relaxation, polynomial optimization, model predictive control |

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

Research Area: | Computer Science and Applications |

Depositing User: | Ms T. Iannizzi |

Date Deposited: | 13 Jan 2015 14:22 |

Last Modified: | 13 Jan 2015 14:22 |

URI: | http://eprints.imtlucca.it/id/eprint/2475 |

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