Observability implies observer design for switched linear systems

HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control

Volumn , Issue , 2011, Pages 3-12

  Tanwani, Aneel ^a   Shim, Hyungbo ^b   Liberzon, Daniel ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b Department of Aerospace Engineering   (South Korea)

Author keywords

Observability; Observer design; Switched linear systems

Indexed keywords

HYBRID OBSERVER; MODE TRANSITIONS; OBSERVER DESIGN; STATE ESTIMATES; SUFFICIENT CONDITIONS; SWITCHED LINEAR SYSTEM; SWITCHED LINEAR SYSTEMS;

DESIGN; HYBRID COMPUTERS; HYBRID SYSTEMS; LINEAR SYSTEMS; SWITCHING SYSTEMS;

OBSERVABILITY;

EID: 79955991449     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1967701.1967705     Document Type: Conference Paper

References (16)

1. A. Alessandri and P. Coletta. Switching observers for continuous-time and discrete-time linear systems. In American Control Conference, pages 2516-2521, 2001. (Pubitemid 32837553)
2. M. Babaali and G. J. Pappas. Observability of switched linear systems in continuous time. In M. Morari and L. Thiele, editors, Hyb. Sys: Comp. & Control, volume 3414 of Lecture Notes in Computer Science, pages 103-117. Springer Berlin/Heidelberg, 2005. (Pubitemid 41252063)
3. A. Balluchi, L. Benvenuti, M. D. Di Benedetto, and A. L. Sangiovanni-Vincentelli. Observability for hybrid systems. In IEEE Conf. on Decision and Control, pages 1159-1164, 2003.
4. A. Balluchi, L. Benvenuti, M. D. Di Benedetto, and A. L. Sangiovanni-Vincentelli. Design of observers for hybrid systems. In C. Tomlin and M. Greenstreet, editors, Hyb. Sys: Comp. & Control, volume 2289 of Lecture Notes in Computer Science, pages 76-89. Springer Berlin/Heidelberg, 2002.
5. C. T. Chen. Linear System Theory and Design. Oxford University Press, Inc., New York, 3rd edition, 1999.
6. P. Collins and J. H. van Schuppen. Observability of piecewise-affine hybrid systems. In R. Alur and G. J. Pappas, editors, Hyb. Sys: Comp. & Control, volume 2993 of Lecture Notes in Computer Science, pages 265-279. Springer Berlin/Heidelberg, 2004.
7. M. Fliess, C. Join, and W. Perruquetti. Real-time estimation for switched linear systems. In IEEE Conf. on Decision and Control, pages 941-946, 2008.
8. E. A. Medina and D. A. Lawrence. Reachability and observability of linear impulsive systems. Automatica, 44(5):1304-1309, 2008.
9. E. A. Medina and D. A. Lawrence. State estimation for linear impulsive systems. In American Control Conference, pages 1183-1188, 2009.
10. S. Pettersson. Designing switched observers for switched systems using multiple Lyapunov functions and dwell-time switching. In IFAC Conf. on Analysis and Design of Hybrid Systems, pages 18-23, 2006.
11. Z. Sun and S. S. Ge. Switched Linear Systems: Control and Design. Springer-Verlag London, 2005.
12. A. Tanwani and S. Trenn. On observability of switched differential-algebraic equations. In IEEE Conf. on Decision and Control, pages 5656-5661, 2010.
13. R. Vidal, A. Chiuso, S. Soatto, and S. Sastry. Observability of linear hybrid systems. In O. Maler and A. Pnueli, editors, Hyb. Sys: Comp. & Control, volume 2623 of Lecture Notes in Computer Science, pages 526-539. Berlin, Germany: Springer, 2003.
14. L. Vu and D. Liberzon. Invertibility of switched linear systems. Automatica, 44(4):949-958, 2008.
15. W. M. Wonham. Linear Multivariable Control: A Geometric Approach. Springer-Verlag, New York, 3rd edition, 1985.
16. G. Xie and L. Wang. Necessary and sufficient conditions for controllability and observability of switched impulsive control systems. IEEE Trans. on Automatic Control, 49:960-966, 2004.