Linear MPC with time-varying terminal cost using sparse convex combinations and bisection search

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2004, Pages 2029-2034

  Pluymers, Bert ^a   Suykens, Johan ^a   De Moor, Bart ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; CONTROL EQUIPMENT; COSTS; LINEAR CONTROL SYSTEMS; ONLINE SYSTEMS; OPTIMAL CONTROL SYSTEMS; SET THEORY; TIME VARYING CONTROL SYSTEMS;

BISECTION SEARCH; TERMINAL CONSTRAINTS; TERMINAL CONTROLLERS; TERMINAL COSTS;

PREDICTIVE CONTROL SYSTEMS;

EID: 14344259012     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1430346     Document Type: Conference Paper

References (10)

1. M. Bacic, M. Cannon, Y. I. Lee, and B. Kouvaritakis. General interpolation in MPC and its advantages. IEEE Transactions on Automatic Control, 48(6):1092-1096, June 2003.
2. H. H. J. Bloemen, T. J. J. van den Boom, and H.B. Verbruggen. Optimizing the end-point state-weighting matrix in model-based predictive control. Automatica, 38:1061-1068, 2002.
3. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. SIAM Publications, 1994.
4. M. V. Kothare, V. Balakrishnan, and M. Morari. Robust constrained model predictive control using linear matrix inequalities. Automatica, 32:1361-1379, 1996.
5. M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret. Applications of second-order cone programming. Linear Algebra and Its Applications, 284:193-228, 1998.
6. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert. Constrained model predictive control: Stability and optimality. Automatica, 36:789-814, 2000.
7. B. Pluymers, L. Roobrouck, J. Buijs, J. A. K. Suykens, and B. De Moor. An LMI-based constrained MPC-scheme with time-varying terminal cost. Proceedings of the ADCHEM Conference, 2003.
8. B. Pluymers, L. Roobrouck, J. Buijs, J. A. K. Suykens, and B. De Moor. Model-predictive control with time-varying terminal cost using convex combinations. To appear in Automatica, 2005.
9. Z. Wan and M. V. Kothare. An efficient off-line formulation of robust model predictive control using linear matrix inequalities. Automatica, 39:837-846, 2003.
10. Z. Wan and M. V. Kothare. Efficient robust constrained model predictive control with a time varying terminal constraint set. Systems and Control Letters, 48:375-383, 2003.