A new algorithm for efficient MPC and a comparison with competing schemes

Proceedings of the American Control Conference

Volumn 1, Issue , 2004, Pages 222-227

  Imsland, Lars ^a   Bar, Nadav ^a   Foss, Bjarne A ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONTROL EQUIPMENT; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS; STATE SPACE METHODS;

CONSTRAINT HANDLING; INPUT CONSTRAINTS; SYSTEM EQUATIONS; VARIABLES;

LINEAR SYSTEMS;

EID: 8744241223     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.2004.1383608     Document Type: Conference Paper

References (10)

1. A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3-20, January 2002.
2. B. Kouvaritakis, J. A. Rossiter, and J. Schuurmans, "Efficient robust predictive control," IEEE Trans. Aut. Control, vol. 45, no. 8, pp. 1545-1549, 2000.
3. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, ser. SIAM Studies in Applied Mathematics. SIAM, 1994, no. 15.
4. S. Drageset, L. Imsland, and B. A. Foss, "Efficient model predictive control with prediction dynamics," in Proc. 7th European Control Conference ECC'03, Cambridge, England, 2003.
5. B. Kouvaritakis, M. Cannon, and J. A. Rossiter, "Who needs QP for MPC anyway?" Automatica, vol. 38, no. 5, pp. 879-884, 2002.
6. B. Fares, P. Apkarian, and D. Noll, "An augmented Lagrangian method for a class of LMI-constrained problems in robust control theory," Internat. J. Control, vol. 74, no. 4, pp. 348-360, 2001.
7. N. Bar, "Efficient model predictive control using sequential semi-definite programming," Master's thesis, Department of Engineering Cybernetics, NTNU, 2003, http://www.itk.ntnu.no/ansatte/Imsland-_Lars_Struen/ Barthesis.pdf.
8. P. Tøndel, T. A. Johansen, and A. Bemporad, "An algorithm for multi-parametric quadratic programming and explicit MPC solutions," Automatica, vol. 39, pp. 489-497, 2003.
9. _, "Evaluation of piecewise affine control via binary search tree," Automatica, vol. 39, pp. 945-950, 2003.
10. A. Bemporad, F. Borrelli, and M. Morari, "Min-max control of constrained uncertain discrete-time linear systems," IEEE Trans. Aut. Control, vol. 48, no. 9, pp. 1600-1606, 2003.