Input-to-state stability of discontinuous dynamical systems with an observer-based control application

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4416 LNCS, Issue , 2007, Pages 259-272

  Heemels, W P M H ^a   Weiland, S ^a   Juloski, A Lj ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; CONTROL EQUIPMENT; CONTROL SYSTEM ANALYSIS; HYBRID COMPUTERS; LYAPUNOV FUNCTIONS; STATE FEEDBACK;

HYBRID SYSTEMS; INPUT-TO-STATE STABILITY (ISS);

DYNAMICAL SYSTEMS;

EID: 38049126394     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-71493-4_22     Document Type: Conference Paper

References (18)

1. Sontag, E.D.: The ISS philosophy as a unifying framework for stability-like behavior. In Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W., eds.: Nonlinear Control in the Year 2000. Lecture Notes in Control and Information Sciences. Springer-Verlag (2000) 443-468
2. Sontag, E., Wang, Y.: On characterisations of the input-to-state stability property. System and Control Letters (1995)
3. Jiang, Z., Mareels, I., Wang, Y.: A Lyapunov formulation of hte nonlinear smallgain theorem for interconnected ISS systems. Automatica 32 (1996) 1211-1215
4. Lin, Y., Sontag, E., Wang, Y.: A smooth converse Lyapunov theorem for robust stability. SIAM J. Control Optim. 34(1) (1996) 124-160
5. Jiang, Z., Teel, A., Praly, L.: Small-gain theorem for ISS systems and applications. Mathematics of Control, Signals & Systems 7 (1994) 95-120
6. Arcak, M., Kokotović, P.: Observer based control of systems with slope-restricted nonlinearities. IEEE Transactions on Automatic Control 46(7) (2001) 1146-1150
7. Arcak, M.: Certainty equivalence output feedback design with circle criterion observers. IEEE Transactions on Automatic Control 50 (2005)
8. Branicky, M.: Stability theory for hybrid dynamical systems. IEEE Transactions on Automatic Control 43(4) (1998) 475-482
9. DeCarlo, R., Branicky, M., Pettersson, S., Lennartson, B.: Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE (2000) 1069-1082
10. Johansson, M., Rantzer, A.: Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Transactions on Automatic Control 43(4) (1998) 555-559
11. Pettersson, S., Lennartson, B.: LMI for stability and robustness of hybrid systems. (In: Proc. of the American Control Conference, Albuquerque, New Mexico, June 1997) 1714-1718
12. Filippov, A.: Differential Equations with Discontinuous Righthand Sides. Mathematics and its Applications. Kluwer, Dordrecht, The Netherlands (1988)
13. Shevitz, D., Paden, B.: Lyapunov theory for nonsmooth systems. IEEE Transactions on automatic control 39(9) (1994) 1910-1914
14. Cai, C., Teel, A.: Results on input-to-state stability for hybrid systems. In: Proc. Conference Decision and Control. (2005) 5403-5408
15. Vu, L., Chatterjee, D., Liberzon, D.: ISS of switched systems and applications to switching adaptive control. In: 44th IEEE Conference on Decision and Control, Seville, Spain (2005) 120-125
16. Liberzon, D., Nesic, D.: Stability analysis of hybrid systems via small-gain theorems. (2006) 421-435
17. Juloski, A., Heemels, W., Weiland, S.: Observer design for a class of piecewise affine systems. In: Proc. of Conference on Decision and Control 2002, Las Vegas, USA (2002) 2606-2611
18. Pettersson, S.: Switched state jump observers for switched systems. In: Proceedings of the 16th IFAC World Congress, Prague, Czech Republic. (2005)