## Title data

Nešić, Dragan ; Grüne, Lars:

**A receding horizon control approach to sampled-data implementation of continuous-time controllers.**

*In:* Systems & Control Letters.
Vol. 55
(August 2006)
Issue 8
.
- pp. 660-672.

ISSN 1872-7956

DOI: https://doi.org/10.1016/j.sysconle.2005.09.013

## Abstract in another language

We propose a novel way for sampled-data implementation (with the zero order hold assumption) of continuous-time controllers for general nonlinear systems. We assume that a continuous-time controller has been designed so that the continuous-time closed-loop satisfies all performance requirements. Then, we use this control law indirectly to compute numerically a sampled-data controller. Our approach exploits a model predictive control (MPC) strategy that minimizes the mismatch between the solutions of the sampled-data model and the continuous-time closed-loop model. We propose a control law and present conditions under which stability and sub-optimality of the closed loop can be proved. We only consider the case of unconstrained MPC. We show that the recent results in [G.Grimm, M.J.Messina, A.R.Teel and S. Tuna, "Model predictive control: for want of a local control Lyapunov function, all is not lost", IEEE Trans. Automat. Contr. 50(2005), 546-558] can be directly used for analysis of stability of our closed-loop system.

## Further data

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

Refereed: | Yes |

Keywords: | Controller design; Stabilization; Sampled-data; Nonlinear; Receding horizon control; Model predictive control |

Institutions of the University: | 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) 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 |

Result of work at the UBT: | Yes |

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

Date Deposited: | 02 Mar 2021 12:04 |

Last Modified: | 23 Mar 2021 09:12 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63591 |