## Title data

Grüne, Lars ; Nešić, Dragan:

**Optimization-Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models.**

*In:* SIAM Journal on Control and Optimization.
Vol. 42
(2003)
Issue 1
.
- pp. 98-122.

ISSN 1095-7138

DOI: https://doi.org/10.1137/S036301290240258X

## Related URLs

## Abstract in another language

We present results on numerical regulator design for sampled-data nonlinear plants via their approximate discrete-time plant models. The regulator design is based on an approximate discrete-time plant model and is carried out either via an infinite horizon optimization problem or via a finite horizon with terminal cost optimization problem. In both cases we discuss situations when the sampling period T and the integration period h used in obtaining the approximate discrete-time plant model are the same or they are independent of each other. We show that using this approach practical and/or semiglobal stability of the exact discrete-time model is achieved under appropriate conditions.

## Further data

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

Refereed: | Yes |

Keywords: | Controller design; Asymptotic controllability; Stabilization; Numerical methods; Optimal control; Approximate model; Discretization; Sampling |

Institutions of the University: | 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) 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 |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 02 Mar 2021 08:00 |

Last Modified: | 09 Jan 2024 12:57 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63464 |