Optimal control of constrained piecewise affine discrete-time systems

Computational Optimization and Applications

Volumn 25, Issue 1-3, 2003, Pages 167-191

  Mayne, D Q ^a   Rakovic S ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Optimal control; Parametric optimization; Piecewise affine

Indexed keywords

CONSTRAINT THEORY; COSTS; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; OPTIMAL CONTROL SYSTEMS;

DISCRETE-TIME SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0037393219     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022905121198     Document Type: Article

References (19)

1. A. Bemporad, F. Borrelli, and M. Morari, "Piecewise linear optimal controllers for hybrid systems," in Proceedings of the American Control Conference, Chicago, 2000, pp. 1190-1194.
2. A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3-20, 2002.
3. F. Borrelli, Discrete Time Constrained Optimal Control, Ph.D. thesis, Swiss Federal Instritute of Technology, Zurich, 2002.
4. M. Cannon, B. Kouvaritakis, and A. Rossiter, "Efficient active set optimization in triple mode MPC," IEEE Transactions on Automatic Control, vol. 46, no. 8, pp. 1307-1312, 2001.
5. M.-J. Chien and E.S. Kuh, "Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision," IEEE Transactions on Circuits and Systems, vol. CAS-24, no. 6, pp. 305-317, 1977.
6. J.A. De Doná and G.G. Goodwin, "Elucidation of the state-space regions wherein model predictive and antiwindup strategies achieve identical control policies," Technical Report EE9944, The University of Newcastle, Australia, 1999.
7. V. Dua, N.A. Bozinis, and E.N. Pistikopoulos, "A multiparametric programming approach for mixed integer and quadratic engineering problems," Computers and Chemical Engineering, vol. 26, pp. 715-733, 2002.
8. V. Dua, N.A. Bozinis, and E.N. Pistikopoulos, "A multiparametric approach for mixed-integer and quadratic process engineering problems," Computers and Chemical Engineering, vol. 26, pp. 715-733, 2002.
9. M. Fodor, "An automobile application of mpc: Traction control," Presented at American Control Conference, Arlington, Virginia, 2001.
10. E.G. Gilbert and K.T. Tan, "Linear systems with state and control constraints: the theory and application of maximal output admissible sets," IEEE Transactions on Automatic Control, vol. AC-36, pp. 1008-1020, 1991.
11. D.Q. Mayne, "Control of constrained dynamic systems," European Journal of Control, vol. 7, pp. 87-99, 2001.
12. D.Q. Mayne, "Control of constrained dynamic systems," Technical Report EEE/C&P/DQM/9/2001, Imperial College London, 2001. Keynote address, European Control Conference, Oporto, 4-7 September, 2001.
13. D.Q. Mayne and S. Raković, "Optimal control of constrained piecewise affine discrete-time systems using reverse transformation," in Proceedings of the IEEE 2002 Conference on Decision and Control, Las Vegas, USA, 2002.
14. D.Q. Mayne and S. Raković, "Model predictive control of constrained piecewise affine discrete-time systems," Technical Report EEE/C&P/DQM/3/2002, Imperial College London SW72BT, March 2002.
15. D.Q. Mayne and S. Raković, "Model predictive control of constrained piecewise affine discrete-time systems," International Journal of Robust and Nonlinear Control, 2003.
16. M. Morari, "Mathematical programming approach to hybrid systems, analysis and control," in 25 Years of Nonlinear Control at Ècole des Mines de Paris, http://cas.ensmp.fr/25ans, 2001.
17. E. Polak, Optimization: Algorithms and Consistent Approximations. Springer Verlag: New York, 1997. ISBN 0-387-94971-2.
18. M.M. Seron, G.C. Goodwin, and J.A. De Doná, "Geometry of model predictive control for constrained linear systems," Technical Report EE0031, The University of Newcastle, Australia, 2000.
19. S.M. Veres and D.Q. Mayne, "The geometric bounding toolbox, GET 7.1," MathWorks Third Party Products. http://www.sysbrain.com/gbt.