Observer-based controller design for linear singular systems with Markovian switching

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2004, Pages 3619-3624

  Raouf, J ^a   Boukas, E K ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Linear matrix inequality; Markovian jumping parameters systems; Observer based output feedback control; Singular system; Stabilization; Stochastic stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; LARGE SCALE SYSTEMS; LINEARIZATION; LYAPUNOV METHODS; MARKOV PROCESSES; NUMERICAL METHODS; OBSERVABILITY; PARAMETER ESTIMATION; STABILIZATION; STATE FEEDBACK;

LINEAR MATRIX INEQUALITY; LINEAR SINGULAR SYSTEMS; MARKOVIAN JUMPING PARAMETERS SYSTEMS; MARKOVIAN SWITCHING; OBSERVER-BASED OUTPUT FEEDBACK CONTROL; SINGULAR SYSTEMS; STOCHASTIC STABILITY;

LINEAR CONTROL SYSTEMS;

EID: 14244263946     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1429291     Document Type: Conference Paper

References (20)

1. Arnold, L., Stochastic Differential Equations: Theory and Applications, John Wiley and Sons, New-York, 1974.
2. ∞ Control for linear time-delay systems with Markovian jumping parameters, Journal of Optimization Theory and Applications, vol. 105, pp.73-95, 2000.
3. Boukas, E. K. and Liu, Z. K., Deterministic and Stochastic Systems with Time-Delay, Birkhauser, Boston, 2002.
4. Boukas, E. K., Stochastic Hybrid Systems Analysis and Design, Birkhauser, Boston, 2004.
5. Chafai, B., and Caroll, R., L., Design of a Minimal-order Observer for Singular Systems, Int. J. contr, Vol 45, pp. 1075-1081, 1987.
6. Dai, L., Singular Control Systems, Volume 118 of Lecture Notes in Control and Information Sciences, Springer-Verlag, New-York, 1989.
7. Daniel, w., C., and Zhiwei, G., Bezout Identity Related to Reduced-order Observer-based Controllers for Singular Systems, Automatica, Vol 37, pp. 1655-1662, 2001.
8. ∞ Controller Design for State Delayed Linear Systems, Automatica, Vol 32, pp. 1073-1075, 1996.
9. ∞ Controller Design for Linear Uncetain Time-delay Systems, Automatica, Vol 33, pp. 10749-1752, 1997.
10. Kreinder, E., and Jameson, A., Conditions for Nonnegativeness of Partitioned Matrices, IEEE Transactions on Automatic Control, Vol 17, pp. 147-148, 1972.
11. Lewis, F. L., A Survey of Linear Singular Systems, Circuit, Syst, Signal Process, Vol 5, pp. 3-36, 1986.
12. Lewis, F. L., A Tutorial on The Geometric Analysis of Linear Time-Invariant Implicit Systems, Automatica,Vol 28(1), pp. 119-137, 1992.
13. ∞ Controllers for State Delayed Systems, IEEE Transactions on Automatic Control, AC 39, pp. 159-162, 1999.
14. Luenbeger, D., G., Dynamic Equations in Descriptor Form, IEEE Transactions on Automatic Control, AC 22, pp. 312-321, 1977.
15. Mariton, M., Jump linear Systems in Automatic Control, Marcel Dekker, New-york, 1990.
16. Raouf, J. and Boukas, E. K., Robust Stabilization of Markovian Jump Singular Systems with Multiplicative White Noise Disturbance Proceedings of the 2004 American Control Conference, Boston, Massachuetts, pp. 3170-3175, 2004.
17. Rehm, A., Control of Descriptor Systems: An Inequality Approach, PhD thesis, Universitat Stuttgart, 2001.
18. Verghese, G. C., Levy, B., C. and Kailath, T., A Generalized State-Space for Singular Systems, IEEE Transactions on automatic Control, Vol 26(4), pp. 811-831, 1981.
19. ∞ Control Laws for Uncertain Linear Systems, J. Guidance, Control Dyn., Vol 15, pp. 1125-1133, 1992.
20. Yoichi, U., Adaptive Observer for continuous Descriptor Systems, IEEE Transactions on automatic Control, Vol 39(10), pp. 2095-2100, 1994.