Design of receding horizon controls for constrained time-varying systems

IEEE Transactions on Automatic Control

Volumn 49, Issue 12, 2004, Pages 2248-2253

  Kim, Ki Baek ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Constrained system; Linear matrix inequality (LMI); Receding horizon control (RHC); Stability; Time varying

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMIZATION; THEOREM PROVING;

CONSTRAINED SYSTEM; LINEAR MATRIX INEQUALITY (LMI); RECEDING HORIZON CONTROL (RHC);

TIME VARYING CONTROL SYSTEMS;

EID: 11044238250     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.838491     Document Type: Article

References (14)

1. G. De Nicolao, L. Magni, and R. Scattolini, "Stabilizing receding horizon control of nonlinear time-varying systems," IEEE Trans. Automat. Contr., vol. 43, pp. 1030-1036, July 1998.
2. H. Chen and F. Allgower, "A quasiinfinite horizon nonlinear model predictive control scheme with guaranteed stability," Automatica, vol. 34, pp. 1205-1217, 1998.
3. J. W. Lee, W. H. Kwon, and J. H. Choi, "On stability of constrained receding horizon control with finite terminal weighting matrix," Automatica, vol. 34, no. 12, pp. 1607-1612, 1998.
4. B. G. Park and W. H. Kwon, "Robust one-step receding horizon controls for constrained systems," Int. J. Robust Nonlinear Control, vol. 9, pp. 381-395, 1999.
5. Y. Lu and Y. Arkun, "Quasimin-max MPC algorithms for LPV systems," Automatica, vol. 36, pp. 527-540, 2000.
6. ∞ controls for linear continuous time-varying systems," IEEE Trans. Automat. Contr., vol. 46, pp. 1273-1279, Aug. 2001.
7. ∞ control problem," Automatica vol. 37, pp. 429-435, 2001.
8. K. B. Kim, "Implementation of stabilizing receding horizon controls for linear time-varying systems," Automatica, vol. 38, no. 10, pp. 1705-1711, 2002.
9. D. R. Ramirez and E. F. Camacho, "On the piecewise linear nature of constrained min-max model predictive control with bounded uncertainties," in Proc. Amer. Control Conf., Denver, CO, 2003, pp. 3620-3625.
10. M. V. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, pp. 1361-1379, 1996.
11. B. Kouvaritakis, J. A. Rossiter, and J. Schuurmans, "Efficient robust predictive control," IEEE Trans. Automat. Contr., vol. 45, pp. 1545-1549, Aug. 2000.
12. K. B. Kim, "Generalized receding horizon control scheme for constrained linear discrete-time systems," presented at the 15st IFAC World Congr. Automatic Control, vol. T-Tu-M21, Barcelona, Spain, 2002.
13. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994, vol. 15.
14. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. Natick, MA: The MathWorks, Inc., 1995.