Approximate robust receding horizon control for piecewise linear systems via orthogonal partitioning

European Control Conference, ECC 2003

Volumn , Issue , 2003, Pages 2020-2025

  Mukai, Masakazu ^a   Azuma, Takehito ^a   Kojima, Akira ^b   Fujita, Masayuki ^a  

^a KANAZAWA UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Hybrid systems; Invariant sets; Model predictive control; Robustness

Indexed keywords

EQUIVALENCE CLASSES; HYBRID SYSTEMS; LINEAR SYSTEMS; MODEL PREDICTIVE CONTROL; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK;

APPROXIMATE SOLUTION; EXPLICIT FORM; INVARIANT SET; MIXED LOGICAL DYNAMICAL SYSTEMS; PIECE-WISE LINEAR SYSTEMS; POSITIVELY INVARIANT SETS; RECEDING HORIZON CONTROL; SET CONSTRAINTS;

PIECEWISE LINEAR TECHNIQUES;

EID: 84949093323     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2003.7085263     Document Type: Conference Paper

References (17)

1. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained Model Predictive Contrl: Stablility and Optimality", Automatica, vol. 36, no. 6, pp. 790-814, 2000.
2. 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, 2002.
3. A. Bemporad, F. Borrelli and M. Morari, "Robust Model Preditive Control: Piecewise Linear Explicit Solution", Proc. of the Europian Control Conference 2001, pp. 939-944, 2001.
4. A. Bemporad, F. Borrelli and M. Morari, "Optimal Controllers for Hybrid Systems: Stability and Piecewise Linear Explicit Form", Proc. of the 39th IEEE Conference on Decision and Control, pp. 1810-1815, 2000.
5. T. A. Johansen, I. Petersen and O. Slupphaug, "On Explicit Suboptimal LQR with State and Input Constraints", Proc. of the 39th IEEE Conference on Decision and Control, pp. 662-667, 2000.
6. A. Bemporad and M. Morari, "Robust Model Predictive Control: A Survey", Robustness in Identification and Control, A. Garulli, A. Tesi and A. Vicino (Eds.), Lecture Notes in Control and Information Sciences, vol. 245, pp. 207-226, Springer-Verlag, 1999.
7. P. O. M. Scokaert and D. Q. Mayne, "Min-Max Feedback Model Predictive Control for Constrained Linear Systems", IEEE Transactions on Automatic Control, vol. 43, no. 8, pp. 1136-1142, 1998.
8. J. Bellingham, A. Richards and J. How, "Receding Horizon of Autonomous Aerial Vehicles", Proc. of the 2002 American Control Conference, pp. 3741-3746, 2002.
9. M. Mukai, T. Azuma and M. Fujita, "Robust Receding Horizon Control for Piecewise Linear Systems based on Constraint Positively Invariant Sets", Proc. of the 2002 American Control Conference, pp. 2348-2353, 2002.
10. W. P. M. H. Heemels, B. De Schutter, and A. Bemporad, "Equivalence of Hybrid Dynamical Models", Automatica, vol. 37, no. 7, pp. 1085-1091, 2001.
11. A. Bemporad and M. Morari, "Control of Systems Integrating Logic, Dynamics, and Constraints", Automatica, vol. 35, no. 3, pp. 407-427, 1999.
12. K. Hirata and M. Fujita, "Control of Systems with State and Control Constraints via Controller Switching Strategy", Workshop on Systems with time-domain constraints, Eindhoven, the Netherlands, 2000.
13. I. Kolmanovsky and E. G. Gilbert, "Maximal Output Admissible Sets for Discrete-Time Systems with Disturbance Inputs", In Proceedings of the 1995 American Control Conference, pp. 1995-2000, 1995.
14. T. A. Johansen and A. Grancharova, "Approximate Expricit Model Predictive Control Implemented via Orthogonal Search Tree Partitioning", IFAC World Congress, 2002.
15. A. Bemporad, G. Ferrari-Trecate, and M. Morari, "Observability and Controllability of Piecewise Affine and Hybrid Systems", IEEE Transactions on Automatic Control, vol. 45, no. 10, pp. 1864-1876, 2000.
16. J. E. Falk, "A Linear Min-max Problem", Mathematical Programming, vol. 5, pp. 169-188, 1973.
17. K. Fukuda, "cdd+ Reference Mamual", Institute for Operations Research, Swiss Federal Institute of Technology, Zurich, Switzerland, 1995, http://www.ifor.math.ethz.ch/staff/fukuda/fukuda.html.