### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the 17th IFAC World Congress : 2008, Seoul, South Korea, July 6 -11,2008 |

Editors | Hyung Suck Cho |

Place of Publication | Oxford |

Publisher | Pergamon |

Pages | 11196-11201 |

ISBN (Print) | 978-3-902661-00-5 |

Publication status | Published - 2008 |

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*Proceedings of the 17th IFAC World Congress : 2008, Seoul, South Korea, July 6 -11,2008*(pp. 11196-11201). Oxford: Pergamon.

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*Proceedings of the 17th IFAC World Congress : 2008, Seoul, South Korea, July 6 -11,2008.*Pergamon, Oxford, pp. 11196-11201.

**Predictive control of hybrid systems: stability results for sub-optimal solutions.** / Lazar, M.; Heemels, W.P.M.H.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Predictive control of hybrid systems: stability results for sub-optimal solutions

AU - Lazar, M.

AU - Heemels, W.P.M.H.

PY - 2008

Y1 - 2008

N2 - This article presents a novel model predictive control (MPC) scheme that achieves input-to-state stabilization of constrained discontinuous nonlinear and hybrid systems. Input-tostate stability (ISS) is guaranteed when an optimal solution of the MPC optimization problem is attained. Special attention is paid to the effect that sub-optimal solutions have on ISS of the closed-loop system. This issue is of interest as firstly, the infimum of MPC optimization problems does not have to be attained and secondly, numerical solvers usually provide only sub-optimal solutions. An explicit relation is established between the deviation of the predictive control law from the optimum (called the optimality margin) and the resulting deterioration of the ISS property of the closed-loop system (called the ISS margin).

AB - This article presents a novel model predictive control (MPC) scheme that achieves input-to-state stabilization of constrained discontinuous nonlinear and hybrid systems. Input-tostate stability (ISS) is guaranteed when an optimal solution of the MPC optimization problem is attained. Special attention is paid to the effect that sub-optimal solutions have on ISS of the closed-loop system. This issue is of interest as firstly, the infimum of MPC optimization problems does not have to be attained and secondly, numerical solvers usually provide only sub-optimal solutions. An explicit relation is established between the deviation of the predictive control law from the optimum (called the optimality margin) and the resulting deterioration of the ISS property of the closed-loop system (called the ISS margin).

M3 - Conference contribution

SN - 978-3-902661-00-5

SP - 11196

EP - 11201

BT - Proceedings of the 17th IFAC World Congress : 2008, Seoul, South Korea, July 6 -11,2008

A2 - Cho, Hyung Suck

PB - Pergamon

CY - Oxford

ER -