Robust model predictive control for continuous uncertain systems with state delay

被引:11
作者
Han C. [1 ]
Liu X. [2 ]
Zhang H. [1 ]
机构
[1] School of Control Science and Engineering, Shandong University, Jinan
[2] School of Mathematics and Information, Ludong University, Yantai
来源
J. Control Theory Appl. | 2008年 / 2卷 / 189-194期
基金
中国国家自然科学基金;
关键词
Linear matrix inequality (LMI); Model predictive control (MPC); Robust control; Time-delay systems;
D O I
10.1007/s11768-008-5227-y
中图分类号
学科分类号
摘要
This paper is concerned with robust model predictive control for linear continuous uncertain systems with state delay and control constraints. A piecewise constant control sequence is calculated by minimizing the upper-bound of the infinite horizon quadratic cost function. At each sampling time, the sufficient conditions for the existence of the model predictive control are derived, and expressed as a set of linear matrix inequalities. The robust stability of the closed-loop systems is guaranteed by the proposed design method. A numerical example is given to illustrate the main results. © 2008 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.
引用
收藏
页码:189 / 194
页数:5
相关论文
共 12 条
  • [1] Kwon W.H., Lee Y., Han S., Receding horizon predictive control for linear time-delay systems[C], Proceedings of SICE Annual Conference, pp. 1377-1382, (2003)
  • [2] Kwon W.H., Lee Y., Han S., General receding horizon control for linear time-delay systems[J], Automatica, 40, pp. 1603-1611, (2004)
  • [3] Yu L., Chu J., An LMI approach to guaranteed cost control of linear uncertain time-delay systems[J], Automatica, 35, pp. 1155-1159, (1999)
  • [4] Wang Z., Huang B., Unbehauen H., Robust reliable control for a class of uncertain nonlinear state-delayed systems[J], Automatica, 35, pp. 955-963, (1999)
  • [5] Liu Z., Zhang J., Pei R., Robust model predictive control of time-delay systems[C], Proceedings of IEEE Conference on Control Applications, pp. 470-473, (2003)
  • [6] Jeong S.C., Park P.G., Constrained MPC algorithm for uncertain time-varying systems with state-delay[J], IEEE Transactions on Automatic Control, 50, pp. 257-263, (2005)
  • [7] Zhang L., Huang B., Robust model predictive control of singular systems[J], IEEE Transactions on Automatic Control, 49, pp. 1000-1006, (2004)
  • [8] Boyd S., Ei Ghaoui L., Feron E., Et al., Linear Matrix Inequalities in System and Control Theory[M], (1994)
  • [9] Boyd S., Ei Ghaoui L., Feron E., Et al., Linear Matrix Inequalities in System and Control Theory[M], (1994)
  • [10] Johansson M., Rantzer A., Computation of piecewise quadratic lyapunov functions for hybrid systems[J], IEEE Transactions on Automatic Control, 43, pp. 555-559, (1998)