The maximal output admissible set for a class of uncertain systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2004, Pages 2686-2691

  Hirata, Kenji ^a   Ohta, Yoshito ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY;

CONTROL CONSTRAINTS; LINEAR CONSTRAINTS; STATE CONSTRAINTS; SYSTEM DYNAMICS;

UNCERTAIN SYSTEMS;

EID: 14244251279     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1428866     Document Type: Conference Paper

References (17)

1. A. Bemporad and M. Morari: Robust model predictive control: A survey, Robustness in Identification and Control, Lecture Notes in Control and Information Sciences, 245, 207/226, springer, 1999.
2. A. Bemporad and E. Mosca: Fulfilling hard constraints in uncertain linear systems by reference managing, Automatics, 34-4, 451/461, 1998.
3. F. Blanchini: Set invariance in control, Automatica, 35-11, 1747/1767, 1999.
4. F. Blanchini, S. Miani and M. Sznaier: Robust performance with fixed and worst-case signal for uncertain time-varying systems, Automatica, 33-12, 2183/2189, 1997.
5. E. De Santis: On positively invariant sets for discrete-time linear systems with disturbance: An application of maximal disturbance sets, IEEE Transactions on Automatic Control, 39-1, 245/249, 1994.
6. 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, 36-9, 1008/1020, 1991.
7. E. G. Gilbert and I. Kolmanovsky: Fast reference governors for systems with state and control constraints and disturbance inputs, International Journal of Robust and Nonlinear Control, 9, 1117/1141, 1999.
8. K. Hirata and M. Fujita: Set of admissible reference signals and control of systems with state and control constraints, Proceedings of the 38th IEEE Conference on Decision and Control, 1427/1432, Phoenix, 1999.
9. K. Hirata and M. Fujita: Control of systems with state and control constraints via controller switching strategy, Proceedings of the Workshop on Systems with Time-domain Constraints, Eindhoven University of Technology, 2000.
10. K. Hirata and K. Kogiso: A performance improving off-line reference management for systems with state and control constraints, Proceeding of the 40th IEEE Conference on Decision and Control, 4645/4650, Orlando, 2001.
11. I. Kolmanovsky and E. G. Gilbert: Multimode regulators for systems with state & control constraints and disturbance inputs, Conrrol using logic-based switching, Lecture Notes in Control and Information Sciences, 222, 104/117, Springer, 1997.
12. I. Kolmanovsky and E. G. Gilbert: Theory and computation of disturbance invariant sets for discrete-time linear systems, Mathematical Problems in Engineering, 4, 317/367, 1998.
13. I. Kolmanovsky et al.: Toward less conservative design of multimode controllers for systems with state and control constraints, Proceedings of the 37th IEEE Conference on Decision and Control, 1647/1652, Tampa, 1998.
14. D. G. Luenberger: Optimization by Vector Space Methods, Wiley, 1969.
15. Y. Ohta, H. Imanishi, L. Gong and H. Haneda: Computer generated Lyapunov Functions for a class of Nonlinear Systems, IEEE Transactions on Circuit and Systems I, 40-5, 343/354, 1993.
16. J. S. Shamma: Optimization of the l∞-induced norm under full state feedback, IEEE Transactions on Automatic Control, 41-4, 533/544, 1996.
17. T. Sugie and H. Yamamoto: Reference management for closed loop systems with sate and control constraints, Proceedings of the 2001 American Control Conference, 1426/1431, Arlington, 2001.