Two level model predictive control for the maximum control invariant set

Proceedings of the American Control Conference

Volumn 2, Issue , 2004, Pages 1586-1591

  Grieder, Pascal ^a   Want, Zhaoyang ^b   Kothare, Mayuresh ^c   Morari, Manfred ^a  

^a ETH ZURICH   (Switzerland)

^b BetzDearbom Inc   (United States)

^c Lehigh University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL; CONTROLLABLE STATE-SPACE; MODEL PREDICTIVE CONTROL (MPC); MULTI-PARAMETRIC PROGRAMMING;

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; DISCRETE TIME CONTROL SYSTEMS; FUNCTION EVALUATION; INTERPOLATION; OPTIMIZATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY;

PREDICTIVE CONTROL SYSTEMS;

EID: 8744237922     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. M. Bacic, M. Cannon, and B. Kouvaritakis. Constrained nmpc via state-space partitioning for input-affine non-linear systems. Int. J. Control, 76(15), October 2003.
2. C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa. The quickhull algorithm for convex hulls. ACM Trans. on Mathematical Software, 22(4):469-483, December 1996.
3. A. Bemporad, M. Morari, V. Dua, and E.N. Pistikopoulos. The explicit linear quadratic regulator for constrained systems. Automatica, 38(1):3-20, January 2002.
4. K. Fukuda. Cdd/cdd+ Reference Manual, December 1997. www. cs.mcgill.ca/~fukuda/soft/cdd_home/cdd.html.
5. E. G. Gilbert and K. T. Tan. Linear systems with state and control constraints: the theory and applications of maximal output admissible sets. IEEE Trans. Automatic Control, 36(9):1008-1020, 1991.
6. P. Glieder, F. Borrelli, F.D. Torrisi, and M. Morari. Computation of the constrained infinite time linear quadratic regulator. In Proc. 2003 American Control Conference, Denver, Colorado, USA, June 2003.
7. S. S. Keerthi and K. Sridharan. Solution of parametrized linear inequalities by fourier elimination and its applications. J. Opt. Theory and Applications, 65(1):161-169, 1990.
8. E. C. Kerrigan. Robust Constraints Satisfaction: Invariant Sets and Predictive Control. PhD thesis, Department of Engineering, The University of Cambridge, Cambridge, England, 2000.
9. M. Kvasnica, P. Glieder, M. Baotić, and M. Morari. Multi Parametric Toolbox (MPT). In Hybrid Systems: Computation and Control, Lecture Notes in Computer Science. Springer Verlag, 2003. http: //control.ee.ethz.ch/ ~mpt.
10. Y. I. Lee and B. Kouvaritakis. Superposition in efficient robust constrained predictive control. Automatica, 38(5):875-878, May 2002.
11. D. Q. Mayne, J.B. Rawlings, C.V. Rao, and P.O.M. Scokaert. Constrained model predictive control: Stability and optimality. Automatica, 36(6):789-814, June 2000.
12. J. A. Rossiter and P. Glieder. Using interpolation to simplify explicit model predictive control. In American Control Conference, Boston, USA, June 2004.
13. Z. Wan and M. V. Kothare. A two-level model predictive control formulation for stabilization and optimization. In Proceedings of the American Control Conference, pages 5294-5299, Denver, Colorado, June 2003.
14. G. M. Ziegler. Lectures on Polytopes. Springer, 1994.