Disturbance decoupling of switched linear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 6475-6480

  Yurtseven, E ^a   Heemels, W P M H ^a   Camlibel, M K ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Disturbance decoupling; Geometric control theory; Invariant subspaces; Switched linear systems

Indexed keywords

CONTROL THEORY; STATE FEEDBACK;

DISTURBANCE DECOUPLING; EXOGENOUS INPUT; GEOMETRIC CONTROL THEORY; INVARIANT SUBSPACE; STATIC STATE FEEDBACK; SWITCHED LINEAR SYSTEM; SWITCHING SIGNALS;

LINEAR SYSTEMS;

EID: 79953141412     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717376     Document Type: Conference Paper

References (20)

1. G. Balas, J. Bokor, and Z. Szabó. Invariant Subspaces for LPV Systems and Their Application. IEEE Transactions on Automatic Control, 48:2065-2069, 2003.
2. G.B. Basile and G. Marro. Controlled and Conditioned Invariants in Linear System Theory. Prentice Hall, Englewood Cliffs, NJ, 1992.
3. C.I. Byrnes. Feedback decoupling of rotational distributions for spherically constrained systems. In Proc. 23rd IEEE Conf. on Decision and Control, pages 421-426, Las Vegas, Nevada, USA, 1984.
4. E. Feron. Quadratic stablizibility of switched systems via state and output feedback. Cicsp-468, MIT Technical Report, 1996.
5. A.F. Filippov. Differential Equations with Discontinuous Righthand Sides. Mathematics and its Applications. Kluwer, The Netherlands, 1988.
6. H.L. Trentelman and A.A. Stoorvogel and M. Hautus. Control Theory for Linear Systems. Communications and control engineering series. Springer, 2002.
7. A. Isidori, A.J. Krener, C. Gori-Giorgi, and S. Nonaco. Nonlinear decoupling via feedback: a different geometric approach. 26(2):331-345, IEEE Trans. Autom. Control.
8. A.A. Julius and A.J. van der Schaft. The Maximal Controlled Invariant Set of Switched Linear Systems. In Proc. of the 41st IEEE Conf. on Decision and Control, pages 3174-3179, Las Vegas, Nevada USA, 2002.
9. D. Liberzon. Switching in Systems and Control. Systems and Control: Foundations and Applications. Birkhauser, Boston, MA, 2003.
10. J. Lunze and J. H. Richter. Reconfigurable fault-tolerant control: A tutorial introduction. European Journal of Control, 14(5):359-386, 2008.
11. H. Nijmeijer and A.J. Van der Schaft. Controlled invariance for nonlinear systems. IEEE Trans. Autom. Control, 27(4):904-914, 1982.
12. N. Otsuka. Disturbance decoupling with quadratic stability for switched linear systems. Systems and Control Letters, 2010, to appear.
13. J.M. Schumacher. Compensator synthesis using (C; A;B)-pairs. IEEE Trans. Aut. Contr., 25:1133-1138, 1980.
14. G. Stikkel, J. Bokor, and Z. Szabó. Disturbance Decoupling Problem with Stability for LPV Systems. In European Control Conference, Cambridge, U.K., 2003.
15. Zhendong Sun and S.S. Ge. Switched Linear Systems: Control and Design. Communications and control engineering series. Springer, 2005.
16. Zhendong Sun, S.S. Ge, and T.H. Lee. Controllability and Reachability Criteria for Switched Linear Systems. Automatica, 38:775-786, 2002. (Pubitemid 34201119)
17. M. Wicks, P. Peleties, and R. DeCarlo. Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems. Eur. J. Contr., 4:140-147, 1998.
18. W.M. Wonham. Linear multivariable control: A geometric approach. Springer, 3rd edition, 1985.
19. E. Yurtseven, W.P.M.H. Heemels, and M.K. Camlibel. Disturbance decoupling of switched linear systems. submitted for journal publication.
20. L. Zhang, D. Cheng, and C. Li. Disturbance decoupling of switched nonlinear systems. IEE Proceedings, 152(1):49-54, 2005. (Pubitemid 40285632)