### Abstract

Original language | English |
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Title of host publication | Nonlinear Model Predictive Control : Towards New Challenging Applications |

Editors | L. Magni, F. Allgöwer, D.M. Raimondo |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 89-98 |

ISBN (Print) | 978-3-540-72698-2 |

DOIs | |

Publication status | Published - 2009 |

### Publication series

Name | Lecture notes in control and information sciences |
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Volume | 384 |

### Fingerprint

### Cite this

*Nonlinear Model Predictive Control : Towards New Challenging Applications*(pp. 89-98). (Lecture notes in control and information sciences; Vol. 384). Berlin: Springer. https://doi.org/10.1007/978-3-642-01094-1_7

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*Nonlinear Model Predictive Control : Towards New Challenging Applications.*Lecture notes in control and information sciences, vol. 384, Springer, Berlin, pp. 89-98. https://doi.org/10.1007/978-3-642-01094-1_7

**Further Results on "Robust MPC Using Linear Matrix Inequalities".** / Lazar, M.; Heemels, W.P.M.H.; Munoz de la Pena, D.; Alamo, T.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

TY - CHAP

T1 - Further Results on "Robust MPC Using Linear Matrix Inequalities"

AU - Lazar, M.

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

AU - Munoz de la Pena, D.

AU - Alamo, T.

PY - 2009

Y1 - 2009

N2 - This paper presents a novelmethod for designing the terminal cost and the auxiliary control law (ACL) for robust MPC of uncertain linear systems, such that ISS is a priori guaranteed for the closed-loop system. The method is based on the solution of a set of LMIs. An explicit relation is established between the proposed method and control design. This relation shows that the LMI-based optimal solution of the synthesis problem solves the terminal cost and ACL problem in inf-sup MPC, for a particular choice of the stage cost. This result, which was somehow missing in the MPC literature, is of general interest as it connects well known linear control problems to robust MPC design.

AB - This paper presents a novelmethod for designing the terminal cost and the auxiliary control law (ACL) for robust MPC of uncertain linear systems, such that ISS is a priori guaranteed for the closed-loop system. The method is based on the solution of a set of LMIs. An explicit relation is established between the proposed method and control design. This relation shows that the LMI-based optimal solution of the synthesis problem solves the terminal cost and ACL problem in inf-sup MPC, for a particular choice of the stage cost. This result, which was somehow missing in the MPC literature, is of general interest as it connects well known linear control problems to robust MPC design.

U2 - 10.1007/978-3-642-01094-1_7

DO - 10.1007/978-3-642-01094-1_7

M3 - Chapter

SN - 978-3-540-72698-2

T3 - Lecture notes in control and information sciences

SP - 89

EP - 98

BT - Nonlinear Model Predictive Control : Towards New Challenging Applications

A2 - Magni, L.

A2 - Allgöwer, F.

A2 - Raimondo, D.M.

PB - Springer

CY - Berlin

ER -