Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

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

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