Delay Dependent Memory Robust Model Predictive Control for Uncertainty Polytopic Time-delay Systems

DOI

10.2991/case-13.2013.7How to use a DOI?

Keywords

delay dependent; robust model predictive control; uncertain polytopic systems; time delay; memory state feedback control

Abstract

In this article, a delay dependent memory robust model predictive control (RMPC) algorithm was proposed for uncertain polytopic state delay systems with input constraints. The state delay is time-varying with an upper and lower bound. We minimize a cost function by minimizing its upper bound for the proposed RMPC algorithm. A new sufficient condition, in accordance with LMI, is presented for cost monotonicity. We show that the memory feedback controller obtained by the RMPC approach stabilizes the closed-loop system and reduces the conservativeness. Finally, the effectiveness of the proposed algorithm is illustrated by a numerical example.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yang Liu
AU  - Guoshan Zhang
AU  - Zhihua Yang
PY  - 2013/08
DA  - 2013/08
TI  - Delay Dependent Memory Robust Model Predictive Control for Uncertainty Polytopic Time-delay Systems
BT  - Proceedings of the Third International Conference on Control, Automation and Systems Engineering (CASE-13)
PB  - Atlantis Press
SP  - 25
EP  - 29
SN  - 1951-6851
UR  - https://doi.org/10.2991/case-13.2013.7
DO  - 10.2991/case-13.2013.7
ID  - Liu2013/08
ER  -