## Title data

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:

**Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon.**

*In:* SIAM Journal on Control and Optimization.
Vol. 48
(2010)
Issue 8
.
- pp. 4938-4962.

ISSN 1095-7138

DOI: https://doi.org/10.1137/090758696

## Related URLs

## Abstract in another language

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal constraints. Based on our formula, we perform a detailed analysis of the impact of the optimization horizon and the possibly time varying control horizon on stability and performance of the closed loop.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 02 Mar 2021 14:02 |

Last Modified: | 26 May 2021 11:23 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63609 |