Robustly stabilizing MPC for perturbed PWL systems

I. Necoara, B. De Schutter, T.J.J. van den Boom, and J. Hellendoorn, "Robustly stabilizing MPC for perturbed PWL systems," Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 (CDC-ECC'05), Seville, Spain, pp. 3759-3764, Dec. 2005.

This paper deals with robustly stable model predictive control (MPC) of the class of piecewise linear systems. A piecewise linear feedback controller, that stabilizes the nominal system, is derived from linear matrix inequalities. Further, an algorithm is designed for constructing a polyhedral robustly positively invariant set for the system. First, a min-max feedback MPC scheme with known mode, based on a dual-mode approach that stabilizes the system, is presented. The second robustly stable MPC scheme is based on a semi-feedback controller, but this time the mode of the system is unknown.

Corresponding technical report: pdf file (314 KB)

I. Necoara, B. De Schutter, T.J.J. van den Boom, and J. Hellendoorn, "Robustly stabilizing MPC for perturbed PWL systems: Extended report," Tech. report 05-004a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 6 pp., Feb. 2005. A short version of this paper has been published in the Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 (CDC-ECC'05), Seville, Spain, pp. 3759-3764, Dec. 2005. (abstract, bibtex, report (pdf))

@inproceedings{NecDeS:05-004,
author={I. Necoara and B. {D}e Schutter and T.J.J. van den Boom and J. Hellendoorn},
title={Robustly stabilizing {MPC} for perturbed {PWL} systems},
booktitle={Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 (CDC-ECC'05)},
address={Seville, Spain},
pages={3759--3764},
month=dec,
year={2005}
}

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