Model predictive control for perturbed continuous piecewise affine systems with bounded disturbances

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2004, Pages 1848-1853

  Necoara, I ^a   De Schutter, B ^a   Van Den Boom, T J J ^a   Hellendoorn, J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL TRANSFORMATIONS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; UNCERTAIN SYSTEMS;

AFFINE SYSTEMS; LINEAR OPTIMIZATION PROBLEMS (LP); MODEL PREDICTIVE CONTROL (MPC); PIECEWISE AFFINE (PWA) SYSTEMS;

PREDICTIVE CONTROL SYSTEMS;

EID: 14344250227     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1430316     Document Type: Conference Paper

References (12)

1. A. Bemporad, G. Ferrari-Trecate, and M. Morari. Observability and controllability of piecewise affine systems and hybride systems. IEEE Transactions on Automatic Control, 45(10): 1864-1876, October 2000.
2. A. Bemporad and M. Morari. Control of systems integrating logic, dynamics, and constraints. Automatica, 35(3):407-427, March 1999.
3. F. Borelli, A. Bemporad, and M. Morari. A geometric algorithm for multi-parametric linear programming. Journal of Optimization Theory and Applications, In press, 2000.
4. B. De Schutter and T.J.J. van den Boom. MPC for continuous piecewise-affine systems. Technical Report CSE02-004, Control Systems Engineering, Fac. of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, March 2002. Accepted for publication in Systems & Control Letters.
5. T. Gal, editor. Postoptimal analyses, Parametric Programming, and Related Topics. de Gruyter, Berlin, 1995.
6. M. Johansson. Piecewise Linear Control Systems, volume 284 of Lecture Notes in Control and Information Sciences. Springer, Berlin, Germany, 2003.
7. E. C. Kerrigan and D. Q. Mayne. Optimal control of constrained, piecewise affine systems with bounded disturbances. In Proceedings of the 2002 IEEE Conference on Decision and Control, Las Vegas, Nevada, December 2002.
8. S. Ovchinnikov. Max-min representation of piecewise linear function. Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 43(1):297-302, 2002.
9. P.M. Pardalos and M.G.C. Resende, editors. Handbook of Applied Optimization. Oxford University Press, Oxford, UK, 2002.
10. E. D. Sontag. Nonlinear regulation: The piecewise linear approach. IEEE Transactions on Automatic Control, 26(2):346-357, April 1981.
11. T.J.J. van den Boom and B. De Schutter. Model predictive control for perturbed max-plus-linear systems. Systems & Control Letters, 45(1):21-33, January 2002.
12. S. Young and V.K. Garg. Model uncertainty in discrete event systems. SIAM J. Control Optim, 33(1):208-226, January 1995.