Robust H∞ model predictive control for uncertain systems using relaxation matrices

International Journal of Control

Volumn 81, Issue 4, 2008, Pages 641-650

  Lee, S M ^a   Park, Ju H ^b  

^a KT Cooperation   (South Korea)

^b Yeungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COST FUNCTIONS; DISCRETE TIME CONTROL SYSTEMS; MATRIX ALGEBRA; PROBLEM SOLVING; UNCERTAIN SYSTEMS;

MINIMIZATION PROBLEM; RELAXATION MATRICES;

MODEL PREDICTIVE CONTROL;

EID: 41549108798     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170701579411     Document Type: Article

References (14)

1. S. Boyd, L. Ghaoui, E. Feron and V. Balakrishanan, Linear Matrix Inequalities in System and Control Theory, Studies in Applied Mathematics, Vol. 15, Philadelphia, Pennsylvania: SIAM, 1994.
2. A. Casavola, D. Famularo and G. Franze, "Robust constrained predictive control of uncertain norm-bounded linear systems", Automatica, 40, pp. 1865-1876, 2004.
3. F.A. Cuzzola, J.C. Geromel and M. Morari, "An improved approach for constrained robust model predictive control", Automatica, 38, pp. 1183-1189, 2002.
4. B. Ding, Y. Xi and S. Li, "A synthesis approach of on-line constrained robust model, predictive control", Automatica, 40, pp. 163-167, 2004.
5. 2-disturbances", Automatica, 41, pp. 1229-1238, 2004.
6. P. Gahinet, A. Nemirovski, A.J. Laub and M. Chilali, LMI Control Toolbox, Natick, Massachusetts: The Mathworks, 1995.
7. K.B. Kim, "Implementation of stabilizing receding horizon controls", Automatica, 38, pp. 1705-1711, 2002.
8. K.B. Kim, "Disturbance attenuation for constrained discrete-time systems via receding horizon controls", IEEE Trans. Automatic Control, 49, pp. 797-801, 2004.
9. M.V. Kothare, V. Balakrishanan and M. Morari, "Robust constrained model predictive control using linear matrix inequalities", Automatica, 32, pp. 1361-1379, 1996.
10. J.W. Lee, W.H. Kwon and J.H. Choi, "On stability of constrained receding horizon control with finite terminal weighting matrix", Automatica, 34, pp. 1607-1612, 1998.
11. ∞ predictive control for systems with input saturation", Proc. Inst. Elect. Eng., 147, pp. 153-158, 2000.
12. D.Q. Mayne, M.M. Seron and S.V. Rakovic, "Robust model predictive control of constrained linear systems with bounded disturbances", Automatica, 41, pp. 219-224, 2005.
13. T. Nguyen and F. Jabbari, "Disturbance attenuation for systems with input saturation: An LMI approach", IEEE Trans. Automatic Control, 44, pp. 852-857, 1999.
14. J.B. Rawlings and K.R. Muske, "The stability of constrained receding horizon control", IEEE Trans. Automatic Control, 38, pp. 1512-1516, 1993.