Abstract
The authors concern robust model predictive control for linear continuous systems with polytopic uncertainties and input constraints. At each sampling time, a piecewise constant control sequence is obtained by solving a set of linear matrix inequalities. The sufficient conditions on the existence of the model predictive control are given, and the robust stability of the closed-loop systems is guaranteed. A simulation example illustrates the efficiency of the proposed method.
Similar content being viewed by others
References
S. J. Qin and T. A. Badgwell, A survey of industrial model predictive control technology, Control Engineering Practice, 2003, 11(7): 733–764.
M. V. Kothare, V. Balakrishnan, and M. Morari, Robust constrained model predictive control using linear matrix inequalities, Automatica, 1996, 32(10): 1361–1379.
B. Kouvaritakis, J. A. Rossiter, and J. Schuurmans, Efficient robust predictive control, IEEE Trans. Automat. Contr., 2000, 45(8): 1545–1549.
F. A. Cuzzola, J. C. Geromel, and M. Morari, An improved approach for constrained robust model predictive control, Automatica, 2002, 38(7): 1183–1189.
Z. Y. Wan and M. V. Kothare, Efficient scheduled stabilizing output feedback model predictive control for constrained nonlinear systems, IEEE Trans. Automat. Contr., 2004, 49(7): 1172–1177.
L. S. Hu, B. Huang, and Y. Y. Cao, Robust digital model predictive control for linear uncertain systems with saturations, IEEE Trans. Automat. Contr., 2004, 49(5): 792–796.
L. Q. Zhang and B. Huang, Robust model predictive control of singular systems, IEEE Trans. Automat. Contr., 2004, 49(6): 1000–1006.
B. Huang and E. C. Tamayo, Model validation for industrial model predictive control systems, Chemical Engineering Science, 2000, 55(12): 2315–2327.
S. Boyd, L. EI Ghaoui, E. Feron, and V. balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelohia, 1994.
M. Johansson and A. Rantzer, Computation of piecewise quadratic lyapunov functions for hybrid systems, IEEE Trans. Automat. Contr., 1998, 43(4): 555–559.
Y. Y. Cao and Z. L. Lin, A descriptor system approach to robust stability analysis and controller synthesis, IEEE Trans. Automat. Contr., 2004, 49(11): 2081–2084.
Author information
Authors and Affiliations
Corresponding author
Additional information
*This research is supported by the National Natural Science Foundation of China under Grant No. 60774016.
Rights and permissions
About this article
Cite this article
LIU, X., HAN, C. Robust model predictive control of continuous uncertain systems*. J Syst Sci Complex 21, 267–275 (2008). https://doi.org/10.1007/s11424-008-9110-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11424-008-9110-1