Output feedback stabilization and disturbance attenuation of time-delay jumping systems

IMA Journal of Mathematical Control and Information

Volumn 20, Issue 2, 2003, Pages 179-199

  Mahmoud, Magdi S ^a   Shi, Peng ^b   Shi, Yan ^c  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

^b DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

^c TOKAI UNIVERSITY   (Japan)

Author keywords

Disturbance attenuation; Markovian jump parameters; Output feedback; Stochastic stability; Time delay systems

Indexed keywords

BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

DISTURBANCE ATTENUATION; LINEAR TIME DELAY JUMPING SYSTEMS; MARKOVIAN JUMP PARAMETERS; OUTPUT FEEDBACK STABILIZATION; STOCHASTIC STABILITY;

DELAY CONTROL SYSTEMS;

EID: 0038660883     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/20.2.179     Document Type: Article

References (18)

1. Boukas, K., Shi, P. & Benjelloun, K. (1999) Robust stochastic stabilization of discrete-time linear systems with Markovian jumping parameters. J. Dynamic Sys. Measur. and Contr., 121, 331-334.
2. Davis, M. (1992) Markov Models and Optimization. London: Chapman and Hall.
3. ∞ control for linear systems with Markovian jumping parameters. Control-Theory and Advanced Technology, 9, 457-466.
4. Dorato, P. & Yedavalli, R. K. (1990) Recent Advances in Robust Control. New York: IEEE Press.
5. ∞ approach. Automatica, 35, 1369-1378.
6. Elliott, R. J. & Sworder, D. D. (1992) Control of a hybrid conditionally linear Gaussian processes. J. Optimization Theory and Applications, 74, 75-85.
7. Feng, X., Loparo, K. A., Ji, Y. & Chizeck, H. J. (1992) Stochastic stability properties of jump linear systems. IEEE Trans. Automat. Control, 37, 38-53.
8. ∞ control. Int. J. Robust and Nonlinear Control, 4, 421-448.
9. Gahinet, P., Nemirovski, A., Laub, A. L. & Chilai, M. (1995) LMI Control Toolbox. Boston, MA.: The Math Works, Inc.
10. Ji, Y. & Chizeck, H. J. (1990) Controllability, stabilizability and continuous-time Markovian jump linear-quadratic control. IEEE Trans. Automatic Control, 35, 777-788.
11. Kushner, H. (1967) Stochastic Stability and Control. New York: Academic.
12. Mahmoud, M. S. (1999) Robust Control and Filtering for Time-Delay Systems. New York: Dekker.
13. Mahmoud, M. S. & Shi, P. (2002) Robust control for Markovian jump linear discrete-time systems with unknown nonlinearities. IEEE Trans. Circuits and Systems-I, 49, 538-542.
14. ∞ control of time-delay systems with Markovian jump parameters. Int. J. Robust and Nonlinear Control, to appear.
15. Morozan, T. (1995) Stability and control for linear systems with jump Markov perturbations. Stochastic Anal. and Appl., 13, 91-110.
16. ∞ control for Markovian jumping linear systems with parametric uncertainty. J. Optimiz. Theory and Applications, 95, 75-99.
17. Shi, P., Boukas, K. & Agarwal, R. K. (1999a) Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delays. IEEE Trans. Automat. Control, 44, 2139-2144.
18. Shi, P., Boukas, K. & Agarwal, R. K. (1999b) Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters. IEEE Trans. Automat. Control, 44, 1592-1597.