Sufficient conditions for the stability of input delayed discrete time fault tolerant control systems

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2008, Pages 504-509

  Mahmoud, Mufeed ^a  

^a UNIVERSITY OF MASSACHUSETTS LOWELL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; DIFFERENTIAL EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; DISTURBANCE REJECTION; FEEDBACK; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATRIX ALGEBRA; SYSTEM STABILITY; TRAJECTORIES;

CONTROL APPLICATIONS; DISCRETE TIME; FAULT TOLERANT CONTROL SYSTEMS; FEEDBACK GAINS; INTERNATIONAL CONFERENCES; LINEAR MATRICES; LYAPUNOV; NOISY ENVIRONMENTS; NUMERICAL EXAMPLES; SECOND MOMENT STABILITY; STATE-FEEDBACK CONTROLLERS; SUFFICIENT CONDITIONS;

STATE FEEDBACK;

EID: 53349146330     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2008.4629705     Document Type: Conference Paper

References (45)

1. ∞ Stochastic Stabilization of Active Fault Tolerant Control Systems: Convex Approach," Proc. of the 44th Conference on Decision and Control and Eumpean Control Conference, Seville, Spain, December 2005, pp 3783-3788.
2. S. Aberkane. J. Christophe, J.C. Ponsar and D. Sautert. "Robust Output Feedback Stochastic Stabilization of Active Fault Tolerant Control Systems," Proc. of the 13th Mediterranean Conference on Control and Automation. Limassol, Cyprus, June 2005, pp 1561-1566.
3. S. Aberkane, D. Sautert and J.C. Ponsar, "Performance Evaluation in Active Fault Tolerant Control Systems," Proc. of the 13th Mediterranean Conference on Control and Automation, Limassol, Cyprus, June 2005, pp 1573-1578.
4. ∞, Control of A Class of Stochastic Hybrid Systems with Winner Process via Convex Analysis, International Journal of Innovative Computing, Information and Control,Vol. 2, 2006, pp.1179-1196.
5. E.K. Boukas, Stabilization of Stochastic Nonlinear Hybrid Systems, International Journal of Innovative Computing, Information and Control, Vol. 1. 2995, pp. 131-141.
6. E.K. Boukas, Static Output Feedback Control for Stochastic Hybrid Systems: LMI Approach, Automatica, Vol. 42, 2006, pp. 183-188.
7. E.K. Boukas, Static Output Feedback Control for Stochastic Hybrid Systems: LMI Approach, Automatica. Vol. 42, 2006, pp. 183-188.
8. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan,Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, 1994.
9. H.J. Chezick, A.S. Willsky and D. Castanon, Dsicrete-Time Markovian-Jump Quadratic Optimal Control, International Journal of Control, Vol. 43, 1986, pp. 213-231.
10. H.J. Chezick, Y. Ji, X. Feng and K.A. Loparo, Stability and Control of Discrete-Time Jump Linear Systems, Control Theory and Advanced Technology, Vol. 7, 1991, pp. 247-270.
11. J.L. Doob, Stochastic Processes, Willey, New York, 1990.
12. ∞ Control for Discrete Time Active Fault Tolerant Control Systems," Proc. of the 13th IFAC World Congress, San Franciso, USA, 1996, pp. 439-444.
13. D.R de Farias, J.C. Geromel, J.B.R do Val. and O.L.V. Costa, Output Feedback Control of Markov Jump Linear Systems in Continuous-Time , IEEE Trans. on Automatic Control, Vol. 45, 2000, pp. 944-949.
14. ∞ Control for Linear Systems with Markovian Jumping Parameters, Control Theory and Advanced Technology, Vol. 45, 2000, pp. 944-949.
15. X. Feng, K. A. Loparo, Y. Ji and H. J. Chizeck, Stochastic Stability Properties of Jump Linear Systems, IEEE Trans. on Automatic Control, Vol. 37, 1992, pp. 38-53.
16. Y. Ji and H. J. Chizeck, Controllability, Stabilizability, and Continuous-time Markovian Jump Linear Quadratic Control, IEEE Trans. on Automatic Control, Vol. 35, 1990, pp. 777-788.
17. Y. Ji and H. J. Chizeck, Jump Linear Quadratic Gaussian Control in Continuous Time, IEEE Trans. on Automatic Control, Vol. 37, 1992, pp. 1884-1892.
18. I.Ia. Kats and N.N. Krasovskii, On Stability of Systems with Random Parameters, Journal of Applied Mathematics and Mechanics, Vol. 24, 1960, pp. 1225-1296.
19. F. Kozin, A Survey of Stability of Stochastic Systems,Automatica, Vol. 5, 1969, pp. 95-112.
20. H. J. Kushner, Stochastic Stability and Control, New York: Academic Press, 1967.
21. M. Mariton, Jump Linear Systems in Automatic Control, Marcel Dekker, New York, 1990.
22. M.M. Mahmoud, J. Jiang and Y. Zhang, "Analysis of the Stochastic Stability for Fault Tolerant Control Systems," Proc. of the 38th Conference on Decision and Control, Phoenix, USA, December 1999, pp. 3188-3193.
23. M.M. Mahmoud, J. Jiang and Y. Zhang, "Stochastic Stability of Fault Tolerant Control Systems in the Presence of Noise," Proc. of the 2000 American Control Conference, Chicago, USA, July 2000, pp. 4284-4288.
24. M.M. Mahmoud, J. Jiang and Y. Zhang, "Stochastic Stability of Fault Tolerant Control Systems with Model Uncertainties," Proc. of the 2000 American Control Conference, Chicago, USA, July 2000, pp. 4294-4298.
25. M.M. Mahmoud, J. Jiang and Y. Zhang, "Optimal Control Law for Fault Tolerant Control Systems," Proc. of the 39th Conference on Decision and Control, Sydney, Australia, December 2000, pp 4126-4131.
26. M.M. Mahmoud, J. Jiang and Y. Zhang, "On the Effects of Fault Detection and Isolation to the Stability of Fault Tolerant Control Systems," Proc. of the 2001 American Control Conference, Arlington, U.S.A, July 2001, pp. 2676-2681.
27. M.M. Mahmoud, J. Jiang and Y. Zhang, "Optimal Control Law for Fault Tolerant Control Systems in Noisy Environment," Proc. of the 2001 American Control Conference, Arlington, U.S.A, July 2001,pp. 2682-2687.
28. M.M. Mahmoud, J. Jiang and Y. Zhang, Stochastic Stability Analysis of Fault Tolerant Control Systems in the Presence of Noise, IEEE Transaction on Automatic Control, vol. 46, no. (11), 2001, pp. 1810-1815.
29. M.M. Mahmoud, J. Jiang and Y. Zhang, Stochastic Stability Analysis for Fault Tolerant Control Systems with Multiple Failure Processes, International Journal of Systems Science, vol. 33, no (1), 2002, pp. 55-65.
30. M.M. Mahmoud, "Continuously Variable Duration Markov Models for Detection Delays in Linear Jump Systems," Proc. of the 2003 American Control Conference, Denver, U.S.A, July 2003, pp. 4851-4856.
31. M.M. Mahmoud, J. Jiang and Y. Zhang, Stabilization Algorithm for Uncertain Fault Tolerant Control Systems, Journal of Stochastic Analysis and Applications, vol. 21, 2003, pp. 673-701.
32. M.M. Mahmoud, J. Jiang and Y. Zhang, Active Fault Tolerant Control Systems: Analysis and Development, Springer, Germany, 2003.
33. M.M. Mahmoud, "Stability Analysis of Discrete Fault Tolerant Control Systems with Parameter Uncertainties," accepted in the 2008 American Control Conference, Seattle, U.S.A., July 2008.
34. R.J. Patton, P.M. Frank and N. Clark, Fault Diagnosis in Dynamic Systems: Theory and Applications, Prentice Hall, London, 1989.
35. R.J. Patton, "Fault-Tolerant Control: The 1997 Situation," Proceedings of IFAC Symposium SAFEPROCESS, 1997, pp. 1033-1055.
36. P. Shi, "Robust Control for Linear Systems with Markovian Jumping Parameters," 13th IFAC World Congress, San Francisco, USA, 1996, pp. 433-438.
37. ∞ Control for Markovian Jumping Linear Systems with Parametric Uncertainty, Journal of Optimization Theory and Applications, Vol. 95, 1997, pp. 75-99.
38. P. Shi, E.K. Boukas, S.K. Nguang and X. Guo, Robust Disturbance Attenuation for Discrete-Time Active Fault Tolerant Control. Systems with Uncertainties, Optimal Control Applications and Methods, Vol. 24, 2003, pp. 85-101.
39. R. Srichander and B. K. Walker, Stochastic Stability Analysis for Continuous-Time Fault Tolerant Control Systems, Int. Journal of Control, Vol. 57, 1993, pp. 433-452.
40. A. S. Willsky, A Survey of Design Methods for Failure Detection in Dynamic Systems, Automatica, Vol. 12, 1976, pp. 601-611.
41. C. Cheng, Q. Zhao and F. Tao, Stability And Performance of The Stochastic Fault Tolerant Control Systems, Proceedings of the 42nd IEEE Conference on Decision and Control, Vol. 3, pp. 2484-2489, 2003.
42. C. Cheng, Q. Zhao and F. Tao, Fault Tolerant Control Systems With Stochastic Integral Quadratic Constraints, Journal of Dynamics of Discrete, Continuous and Impulsive Systems - series B, Vol. 11 , No. 1-2, 2004, pp. 123-141.
43. 2 Performance, Proceedings of the 44th IEEE Conference on Decision and Control and 2005 European Control Conference, pp. 6274-6279, 2005.
44. 2 performance, International Journal of Robust and Nonlinear Control, Vol. 17, No. 1, 2007, pp. 1-24.
45. F. Tao and Q. Zhao, Synthesis of Fault Tolerant Control in The Presence Of Random FDI Delay, International Journal of Control, Vol. 80, No. 5, 2007, pp. 684-694.