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

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005531
URN to cite this document: urn:nbn:de:bvb:703-epub-5531-6

Title data

Nešić, Dragan ; Grüne, Lars:
A receding horizon control approach to sampled-data implementation of continuous-time controllers.
Bayreuth , 2005

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Abstract

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: Preprint, postprint
Additional notes (visible to public): Erscheint in: Systems & Control Letters. Bd. 55 (August 2006) Heft 8 . - S. 660-672
Keywords: Controller design; Stabilization; Sampled-data; Nonlinear; Receding horizon control; Model predictive control
DDC Subjects: 500 Science
500 Science > 510 Mathematics
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)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5531-6
Date Deposited: 18 May 2021 07:20
Last Modified: 18 Jun 2021 08:48
URI: https://epub.uni-bayreuth.de/id/eprint/5531

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