[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5370/JEET.2009.4.4.566

Robust Model Predictive Control Using Polytopic Description of Input Constraints

Lee, Sang-Moon (Dept. of Electronic Engineering, Daegu University)

Publication Information

Journal of Electrical Engineering and Technology / v.4, no.4, 2009 , pp. 566-569 More about this Journal

Abstract

In this paper, we propose a less conservative a linear matrix inequality (LMI) condition for the constrained robust model predictive control of systems with input constraints and polytopic uncertainty. Systems with input constraints are represented as perturbed systems with sector bounded conditions. For the infinite horizon control, closed-loop stability conditions are obtained by using a parameter dependent Lyapunov function. The effectiveness of the proposed method is shown by an example.

Keywords

Model predictive control; Input constraint; Parameter dependent Laypunov function; LMI;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishanan, ' Linear matrix inεqualities in system and control theory,' Studies in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, vol. 15, 1994
2	P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI control toolbox, The Mathworks, Natick, Massachusetts, 1995
3	S. M. Lee， S. C. Won, and J. H. Park, 'New Robust Model Predictive Control for Uncεrtain Systems with Input Constraints Using Relaxation Matrices,' Journal of Optimization Theon and Applications, 138, pp. 221-234, 2008 DOI ScienceOn
4	S. M. Lee, and S. C. Won, ' Robust constrained predictive control using a sεctor bounded nonlinear model,' IET Control Theory Appl., 1, (4), pp. 999-1007, 2007 DOI ScienceOn
5	S. M. Lee, 1. H. Park, D. H. Ji, and S. C. Won, Robust model prεdictive control for LPV systems using relaxation matrices, IET Control Theon Appl., 1, (6), pp.1567-1573, 2007 DOI ScienceOn
6	M. V. Kothare, V. Balakrishanan, and M. Morari, ' Robust constrained model predictive control using linear matrix inequalitiεs，' Automatica, vol. 32., no. 10, pp. 1361-1379, 1996 DOI ScienceOn
7	F. A., Cuzzola, J. C. Geromel ， and M. Morari, 'An improvεd approach for constrainεd robust model predictive control,' Automatica, vol. 38., pp. 1183-1189, 2002 DOI ScienceOn
8	B. Ding, Y. Xi, and S. Li, 'A synthesis approach of on-line constrained robust model predictive control, Automatica, vol. 40, pp. 163-167, 2004 DOI ScienceOn
9	A. Casavola, D. Famularo, and G. Franzε， ' Robust constrained predictive control of uncertain normbounded linear systems,' Automatica, vol, 40, pp. 1865-1876, 2004 DOI ScienceOn
10	K. B. Kim, 'Implεmentation of stabilizing receding horizon controls,' Automatica, vol. 38, pp. 1705-1711 , 2002 DOI ScienceOn
11	J. B. Rawlings, and K. R. Muskε， ' The stability of constrained receding horizon control,' IEEE Transactions on Automatic Control, vol. 38, pp. 1512-1516, 1993 DOI ScienceOn
12	J. W. Lee， W. H. Kwon, and J. H. Choi,, 'On stability of constrainεd receding horizon control with finitε terminal weighting matrix,' Automatica, vol. 34, pp. 1607-1612, 1998 DOI ScienceOn