Robust model predictive control for continuous uncertain systems with state delay

Journal of Control Theory and Applications

Volumn 6, Issue 2, 2008, Pages 189-194

  Han, Chunyan ^a   Liu, Xiaohua ^b   Zhang, Huanshui ^a  

^a SHANDONG UNIVERSITY   (China)

^b LUDONG UNIVERSITY   (China)

Author keywords

Linear matrix inequality (LMI); Model predictive control (MPC); Robust control; Time delay systems

Indexed keywords

AUTOMATION; CONTROL SYSTEMS; CONTROL THEORY; DELAY CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; MILITARY DATA PROCESSING; OPTIMAL CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

CLOSED-LOOP SYSTEMS; CONTROL CONSTRAINTS; DESIGN METHODS; EDITORIAL BOARD; INFINITE HORIZONS; LINEAR MATRICES; NUMERICAL EXAMPLES; PIECEWISE-CONSTANT CONTROL; PREDICTIVE CONTROL; QUADRATIC COST FUNCTIONS; ROBUST MODEL PREDICTIVE CONTROL; ROBUST STABILITY; SAMPLING TIME; SOUTH CHINA UNIVERSITY OF TECHNOLOGY; STATE DELAYS; SUFFICIENT CONDITIONS (SC);

MODEL PREDICTIVE CONTROL;

EID: 47049100175     PISSN: 16726340     EISSN: 10008152     Source Type: Journal    
DOI: 10.1007/s11768-008-5227-y     Document Type: Article

References (12)

1. W. H. Kwon, Y. Lee, S. Han. Receding horizon predictive control for linear time-delay systems[C]//Proceedings of SICE Annual Conference. New York: IEEE Press, 2003, 2: 1377-1382.
2. W. H. Kwon, Y. Lee, S. Han. General receding horizon control for linear time-delay systems[J]. Automatica, 2004, 40(9): 1603-1611.
3. L. Yu, J. Chu. An LMI approach to guaranteed cost control of linear uncertain time-delay systems[J]. Automatica, 1999, 35(6): 1155-1159.
4. Z. Wang, B. Huang, H. Unbehauen. Robust reliable control for a class of uncertain nonlinear state-delayed systems[J]. Automatica, 1999, 35(5): 955-963.
5. Z. Liu, J. Zhang, R. Pei. Robust model predictive control of time-delay systems[C]//Proceedings of IEEE Conference on Control Applications. New York: IEEE Press, 2003, 1: 470-473.
6. S. C. Jeong, P. G. Park. Constrained MPC algorithm for uncertain time-varying systems with state-delay[J]. IEEE Transactions on Automatic Control, 2005, 50(2): 257-263.
7. L. Zhang, B. Huang. Robust model predictive control of singular systems[J]. IEEE Transactions on Automatic Control, 2004, 49(6): 1000-1006.
8. S. Boyd, L. EI Ghaoui, E. Feron, et al. Linear Matrix Inequalities in System and Control Theory[M]. Philadelohia, USA: SIAM, 1994.
9. S. Boyd, L. EI Ghaoui, E. Feron, et al. Linear Matrix Inequalities in System and Control Theory[M]. Philadelohia, USA: SIAM, 1994.
10. M. Johansson, A. Rantzer. Computation of piecewise quadratic lyapunov functions for hybrid systems[J]. IEEE Transactions on Automatic Control, 1998, 43(4): 555-559.
11. M. V. Kothare, V. Balakrishnan, M. Morari. Robust constrained model predictive control using linear matrix inequalities[J]. Automatica, 1996, 32(10): 1361-1397.
12. Y. Cao, P. M. Frank. Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy model[J]. Fuzzy Sets and Systems, 2001, 124(2): 213-229.