On stabilizing receding horizon controls for linear continuous time-invariant systems

IEEE Transactions on Automatic Control

Volumn 45, Issue 7, 2000, Pages 1329-1334

  Kwon, Wook Hyun ^a   Kim, Ki Baek ^b  

^a Seoul National University   (South Korea)

^b Korea University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTATIONAL COMPLEXITY; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; SYSTEM STABILITY;

COST MONOTONICITY; RECEDING HORIZON CONTROL (RHC);

TIME VARYING CONTROL SYSTEMS;

EID: 0034223838     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.867037     Document Type: Article

References (21)

1. W. H. Kwon and A. E. Pearson, "A modified quadratic cost problem and feedback stabilization of a linear system," IEEE Trans. Automat. Contr., vol. 22, pp. 838-842, May 1977.
2. W. H. Kwon and D. G. Byun, "Receding horizon tracking control as a predictive control and its stability properties," Int. J. Contr., vol. 50, no. 5, pp. 1807-1824, 1989.
3. M. V. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, pp. 1361-1379, 1996.
4. H. Michalska and D. Q. Mayne, "Robust receding horizon control of constrained nonlinear systems," IEEE Trans. Automat. Contr., vol. 38, pp. 1623-1633, Nov. 1993.
5. H. Chen and F. Allgower, "A quasi infinite horizon nonlinear model predictive control scheme with guaranteed stability," Automatica, vol. 34, pp. 1205-1217, 1998.
6. J. Richalet, A. Rault, J. Testud, and J. Papon," Model predictive heuristic control: Applications to industrial processes," Automatica, vol. 14, no. 5, pp. 413-428, 1978.
7. C. R. Cutler and B. L. Ramaker, "Dynamic matrix control - A computer control algorithm," in Proc. AIChE National Meeting, Houston, TX, 1979.
8. G. De Nicolao and S. Strada, "On the stability of receding-horizon LQ control with zero-state terminal constraint," IEEE Trans. Automat. Contr., vol. 22, pp. 257-260, Feb. 1997.
9. D. L. Kleinman, "An easy way to stabilize a linear constant system," IEEE Trans. Automat. Contr., vol. 15, p. 692, Dec. 1970.
10. _, "Stabilizing a discrete, constant, linear system with application to iterative methods for solving the Riccati equation," IEEE Trans. Automat. Contr., vol. 19, pp. 252-254, June 1974.
11. W. H. Kwon and A. E. Pearson, "On feedback stabilization of time-varying discrete linear systems," IEEE Trans. Automat. Contr., vol. 23, pp. 479-481, Mar. 1978.
12. S. Keerthi and E. Gilbert, "Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximation," J. Optimization Theory Appl., vol. 57, no. 2, 1988.
13. J. B. Rawlings and K. R. Muske, "The stability of constrained receding horizon control," IEEE Trans. Automat. Contr., vol. 38, pp. 1512-1516, Oct. 1993.
14. A. Bemporad, L. Chisci, and E. Mosca, "On the stabilizing property of SIORHC," Automatica, vol. 30, pp. 2013-2015, 1994.
15. G. De Nicolao and R. R. Bitmead, "Fake Riccati equations for stable receding horizon control," in Proc. 4th European Control Conf., Bruxelles, BE, 1997.
16. W. H. Kwon, A. M. Bruckstein, and T. Kailath, "Stabilizing state-feedback design via the moving horizon method," Int. J. Contr., vol. 37, pp. 631-643, 1983.
17. M. A. Poubelle, R. R. Bitmead, and M. R. Gevers, "Fakealgebraic Riccati techniques and stability," IEEE Trans. Automat. Contr., vol. 33, pp. 379-381, Apr. 1988.
18. R. R. Bitmead, M. Gevers, and V. Wertz, Adaptive Optimal Control: The Thinking Man's GPC. Englewood Cliffs, NJ: Prentice-Hall, 1990.
19. 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.
20. L. Magni and R. Sepulchre, "Stability margin of nonlinear receding horizon control via inverse optimality," Syst. Contr. Lett., vol. 32, pp. 241-245, 1997.
21. L. Vandenberghe and S. Boyd, "Semi definite programming," SIAM Rev., vol. 38, pp. 49-95, 1996.