Adaptive state estimation for stochastic delay systems with state-dependent Markovian switching

IET Control Theory and Applications

Volumn 6, Issue 6, 2012, Pages 822-828

  Wang, G ^a   Zhang, Q ^b,c  

^a LIAONING SHIHUA UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

^c KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE STATE ESTIMATION; ESTIMATED PARAMETER; ESTIMATED STATE; EXPONENTIALLY STABLE; MARKOVIAN JUMP SYSTEMS; MARKOVIAN SWITCHING; MEAN-SQUARE; NUMERICAL EXAMPLE; STATE ESTIMATORS; STATE-DEPENDENT; STOCHASTIC DELAY SYSTEMS; TRANSITION RATES; UPPER BOUND;

CONTROL THEORY; ELECTRICAL ENGINEERING;

MARKOV PROCESSES;

EID: 84870262556     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2011.0259     Document Type: Article

References (41)

1. Mariton, M.: ' Jump linear systems in automatic control ', (Marcel Dekker, New York, 1990)
2. Ji, Y., and Chizeck, H.J.: ' Controllability, stability and continuous-time Markovian jump linear quadratic control ', IEEE Trans. Autom. Control, 1990, 35, (7), p. 777-788 10.1109/9.57016 0018-9286 (Pubitemid 20726183)
3. Shi, P., Boukas, E.K., and Agarwal, R.K.: ' Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters ', IEEE Trans. Autom. Control, 1999, 44, (8), p. 1592-1597 10.1109/9.780431 0018-9286 (Pubitemid 30508570)
4. Shi, P., Xia, Y., Liu, G., and Rees, D.: ' On designing of sliding mode control for stochastic jump systems ', IEEE Trans. Autom. Control, 2006, 51, (1), p. 97-103 10.1109/TAC.2005.861716 0018-9286 (Pubitemid 43137935)
5. Luan, X.L., Liu, F., and Shi, P.: ' Neural network based stochastic optimal control for nonlinear Markov jump systems ', Int. J. Innov. Comput., Inf. Control, 2010, 6, (8), p. 3715-3724
6. Boukas, E.K., and M'sirdi, N.K.: ' Stabilization of stochastic systems with partially known transition jumps rates ', Int. J. Innov. Comput., Inf. Control A, 2010, 6, (3), p. 1199-1206
7. de la Sen, M.: ' Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays ', Appl. Math. Comput., 2007, 185, (1), p. 508-526 10.1016/j.amc.2006.07.048 0096-3003 (Pubitemid 46241383)
8. Bacciotti, A.: ' Stabilization by means of state space depending switching rules ', Syst. Control Lett., 2004, 53, (3-4), p. 195-201 10.1016/j.sysconle.2004.04.005 0167-6911
9. Xie, D., Xu, N., and Chen, X.: ' Stabilisable and observer-based switched control design for switched linear systems ', IET Control Theory Appl., 2008, 2, (3), p. 192-199 10.1049/iet-cta:20060502 (Pubitemid 351357557)
10. Mao, X.R.: ' Exponential stability of stochastic delay interval systems with Markovian switching ', IEEE Trans. Autom. Control, 2002, 47, (10), p. 1604-1612 10.1109/TAC.2002.803529 0018-9286 (Pubitemid 35298547)
11. Gao, H.J., Fei, Z.Y., Lam, J., and Du, B.Z.: ' Further results on exponential estimates of Markovian jump systems with mode-dependent time-varying delays ', IEEE Trans. Autom. Control, 2011, 56, (1), p. 223-229 10.1109/TAC.2010.2090575 0018-9286
12. Li, H.Y., Chen, B., Zhou, Q., and Qian, W.Y.: ' Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters ', IEEE Trans. Syst. Man Cybern. B, Cybern., 2009, 39, (1), p. 94-102 10.1109/TSMCB.2008.2002812 1083-4419
13. Wu, Z., Shi, P., Su, H., and Chu, J.: ' Passivity analysis for discrete-time stochastic Markovian jump neural networks with mixed time-delays ', IEEE Trans. Neural Netw., 2011, 22, (10), p. 1566-1575 10.1109/TNN.2011. 2163203 1045-9227
14. Qiu, J.Q., and Lu, K.F.: ' New robust passive stability criteria for uncertain singularly Markov jump systems with time delays ', ICIC Express Lett. B, 2009, 3, (3), p. 651-656
15. ∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays ', IEEE Trans. Autom. Control, 2001, 46, (12), p. 1918-1924 10.1109/9.975476 0018-9286 (Pubitemid 34126238)
16. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays ', IEEE Trans. Autom. Control, 2003, 48, (5), p. 900-907 10.1109/TAC.2003.811277 0018-9286
17. ∞ filtering for Markovian jump systems with mode-dependent time delays ', Signal Process., 2009, 89, (2), p. 187-196 10.1016/j.sigpro.2008. 08.004 0165-1684
18. Shi, P., and Liu, M.: ' Discussion on the filtering problem for continuous-time Markov jump linear systems with no observation of the Markov chain ', Eur. J. Control, 2011, 17, (4), p. 355-356 0947-3580
19. ∞ filter design for discrete-time singular Markovian jump systems with time-varying delays ', Inf. Sci., 2011, 181, (24), p. 5534-5547 10.1016/j.ins.2011.07.052
20. ∞ filtering for Markovian jump systems with time-varying delays ', Int. J. Innov. Comput. and Inf. Control, 2011, 7, (3), p. 1299-1310
21. 2 control for networked control systems with Markovian data losses and delays ', ICIC Express Lett. A, 2009, 3, (3), p. 271-276
22. Mahmoud, M.S., and Shi, P.: ' Robust control for Markovian jump linear discrete-time systems with unknown nonlinearities ', IEEE Trans. Autom. Control, 2002, 49, (4), p. 538-542 10.1109/81.995674 0018-9286 (Pubitemid 34515160)
23. Yue, D., and Han, Q.L.: ' Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching ', IEEE Trans. Autom. Control, 2005, 50, (2), p. 217-222 10.1109/TAC.2004.841935 0018-9286 (Pubitemid 40319352)
24. Wang, G.L., Zhang, Q.L., and Sreeram, V.: ' Robust delay-range-dependent stabilization for Markovian jump systems with mode-dependent time delays and nonlinearities ', Opt. Control Appl. Methods, 2010, 31, (3), p. 249-264 10.1002/oca.901
25. Fragoso, M.D., and Costa, O.L.V.: ' A separation principle for the continuous-time LQ-problem with Markovian jump parameters ', IEEE Trans. Autom. Control, 2010, 55, (12), p. 2692-2707 10.1109/TAC.2010.2048056 0018-9286
26. Huang, L.R., and Mao, X.R.: ' Robust delayed-state-feedback stabilization of uncertain stochastic systems ', Automatica, 2009, 45, (5), p. 1332-1339 10.1016/j.automatica.2009.01.004 0005-1098
27. Wang, Z.D., Qiao, H., and Burnham, K.J.: ' On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters ', IEEE Trans. Autom. Control, 2002, 47, (4), p. 640-646 10.1109/9.995042 0018-9286 (Pubitemid 34554833)
28. ∞ filtering for stochastic delayed jumping systems with sensor non-linearities ', Int. J. Control, 2007, 80, (6), p. 885-897 10.1080/00207170701203608 0020-7179
29. Yuan, C.G., and Mao, X.R.: ' Robust stability and controllability of stochastic differential delay equations with Markovian switching ', Automatica, 2004, 40, (3), p. 343-354 10.1016/j.automatica.2003.10.012 0005-1098
30. Huang, L.R., and Mao, X.R.: ' On almost sure stability of hybrid stochastic systems with mode-dependent interval delays ', IEEE Trans. Autom. Control, 2010, 55, (8), p. 1946-1952 10.1109/TAC.2010.2050160 0018-9286
31. ∞ observer for nonlinear discrete systems with time delay and parameter uncertainties ', 2004), IEE Proc.-Control Theory Appl., 151, p. 439-444
32. Sundaram, S., and Hadjicostis, C.N.: ' Delayed observers for linear systems with unknown inputs ', IEEE Trans. Autom. Control, 2007, 52, (2), p. 334-339 10.1109/TAC.2006.890371 0018-9286 (Pubitemid 46444291)
33. Wu, H.S.: ' Adaptive robust state observers for a class of uncertain nonlinear dynamical systems systems with delayed state perturbation ', IEEE Trans. Autom. Control, 2009, 54, (6), p. 1407-1412 10.1109/TAC.2009.2017960 0018-9286
34. Xie, L., and Khargonekar, P.: ' Lyapunov-based adaptive state estimation for a class of continuous-time nonlinear stochastic systems ', Proc. 2010 American Control Conf., Marriott Waterfront, Baltimore, Maryland, USA, June, 2010, p. 6071-6076
35. Raouf, J., and Boukas, E.K.: ' Observer-based controller design for linear singular systems with Markovian switching ', Proc. 2004 Conf. on Decision and Control, Atlantis, Paradise Island, Bahamas, December, 2004, p. 3619-3624 (Pubitemid 40286969)
36. Zhang, X.M., Lu, G.P., and Zheng, Y.F.: ' Observer design for descriptor Markovian jumping systems with nonlinear perturbations ', Circuits Syst. Signal Process., 2008, 27, (1), p. 95-112 10.1007/s00034-007-9011-x 0278-081X
37. Xi, F., and Zhao, L.: ' On the stability of diffusion processes with state-dependent switching ', Sci. China Ser. A, 2006, 49, (9), p. 1258-1274 10.1007/s11425-006-2017-1 (Pubitemid 44603674)
38. Khasminskii, R.Z., Zhu, C., and Yin, G.: ' Stability of regime-switching diffusions ', 2007), Stochastic Proc. Appl., 117, p. 1037-1051 (Pubitemid 47016774)
39. Dong, Y.F., Kang, Y., and Xi, H.S.: ' Adapive control for time-delay Markovian jump linear systems with state-dependent switching ', Forty-eighth IEEE Conf. on Decision and Control, Shanghai, China, December, 2009, p. 3974-3979
40. Mao, X.R., and Yuan, C.G.: ' Stability of stochastic differential equations with Markovian switching ', 2006),(Imperial College Press, London
41. Mao, X.R., Matasov, A., and Piunovskiy, A.B.: ' Stochastic differential delay equations with Markovian switching ', Bernoulli, 2000, 6, (1), p. 73-90 10.2307/3318634