Di Cairano, Stefano and Lazar, Mircea and Bemporad, Alberto and Heemels, W.P.M.H.
*A control Lyapunov approach to predictive control of hybrid systems.*
In:
Hybrid Systems: Computation and Control.
Springer-Verlag, pp. 130-143.
ISBN 9783540789284
(2008)

## Abstract

In this paper we consider the stabilization of hybrid systems with both continuous and discrete dynamics via predictive control. To deal with the presence of discrete dynamics we adopt a “hybrid” control Lyapunov function approach, which consists of using two different functions. A Lyapunov-like function is designed to ensure finite-time convergence of the discrete state to a target value, while asymptotic stability of the continuous state is guaranteed via a classical local control Lyapunov function. We show that by combining these two functions in a proper manner it is no longer necessary that the control Lyapunov function for the continuous dynamics decreases at each time step. This leads to a significant reduction of conservativeness in contrast with classical Lyapunov based predictive control. Furthermore, the proposed approach also leads to a reduction of the horizon length needed for recursive feasibility with respect to standard predictive control approaches.

Item Type: | Book Section |
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Identification Number: | 10.1007/978-3-540-78929-1_10 |

Subjects: | 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 08:36 |

Last Modified: | 05 Aug 2011 12:57 |

URI: | http://eprints.imtlucca.it/id/eprint/514 |

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