Bemporad, Alberto and Torrisi, Fabio Danilo and Morari, Manfred
*Performance analysis of piecewise linear systems and model predictive control systems.*
In:
Decision and Control Conference.
IEEE, Sydney, Australia December, 2000, pp. 4957-4962.
ISBN 0-7803-6638-7
(2000)

## Abstract

Bemporad and Morari (1999) provided a tool for obtaining the explicit solution of constrained model predictive control (MPG) problems by showing that the control law is a continuous piecewise affine (PWA) function of the state vector. Therefore, the feedback interconnection between the MPC controller and a linear system, or a PWA system (e.g., a PWA approximation of a nonlinear system), is a PWA system. For discrete-time PWA and hybrid systems, the present authors (2000) presented an algorithm for verification/reachability analysis. In this paper, we formulate the performance analysis problem of closed-loop PWA systems (including MPC feedback loops where the prediction model and the plant model could be different) as a reachability analysis problem, and use our algorithm to obtain a tool for characterizing (i) the set of states for which the evolution is feasible, (ii) the domain of stability, (iii) the performance of the closed-loop

Item Type: | Book Section |
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Identification Number: | 10.1109/CDC.2001.914718 |

Uncontrolled Keywords: | continuous piecewise affine function; feedback interconnection; feedback loops; hybrid systems; model predictive control systems; performance analysis; piecewise linear systems; plant model; prediction model; reachability analysis problem; stability domain; control system analysis; feedback; linear systems; predictive control; reachability analysis; stability |

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 09:16 |

Last Modified: | 17 Jul 2014 12:22 |

URI: | http://eprints.imtlucca.it/id/eprint/574 |

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