Variable structure observer design for a class of uncertain systems with a time-varying delay

DeCarlo, R.A., ˙Zak, S.H. and Matthews, G.P. (1988). Variable structure control of nonlinear multivariable systems: A tutorial, Proceedings of the IEEE 76(3): 212-232.10.1109/5.4400Search in Google Scholar

Hua, C.,Wang, Q. and Guan, X. (2008). Memoryless state feedback controller design for time delay systems with matched uncertain nonlinearities, IEEE Transactions on Automatic Control 53(3): 801-807.10.1109/TAC.2008.917658Search in Google Scholar

Hung, J.Y., Gao, W.B. and Hung, J.C. (1993). Variable structure control: A survey, IEEE Transactions on Industrial Electronic 40(1): 2-22.10.1109/41.184817Search in Google Scholar

Karafyllis I. and Kravaris, C. (2007). On the observer problem for discrete-time control systems, IEEE Transactions on Automatic Control 52(1): 12-25.10.1109/TAC.2006.887901Search in Google Scholar

Khalil, H.K. (1996). Nonlinear Systems, Prentice-Hall, Upper Saddle River, NJ.Search in Google Scholar

Liu, P.L. (2005). Delay-dependent asymptotic stabilization for uncertain time-delay systems with saturating actuators, International Journal of Applied Mathematics and Computer Science 15(1): 45-51.Search in Google Scholar

Liu, W.J. (2004). Design of the observer feedback gain for twodimensional discrete systems, IEEE Signal Processing Letters 11(4): 413-415.10.1109/LSP.2004.825560Search in Google Scholar

Liu, W.J., Shyu, K.K. and Hsu, K.C. (2009). Sliding mode observer design for a class of uncertain systems, 2009 CACS International Automatic Control Conference, Taipei, Taiwan.Search in Google Scholar

Luenberger, D. (1971). An introduction to observers, IEEE Transactions on Automatic Control 16(6): 596-602.10.1109/TAC.1971.1099826Search in Google Scholar

Nijmeijer, H. and Fossen, T.I.(1999). New Directions in Nonlinear Observer Design, Springer-Verlag, London.10.1007/BFb0109917Search in Google Scholar

O’Reilly, J. (1983). Observer for Linear Systems, Academic Press, New York, NY.Search in Google Scholar

R¨obenack, K. and Lynch, A.F. (2006). Observer design using a partial nonlinear observer canonical form, International Journal of Applied Mathematics and Computer Science 16(3): 333-343.Search in Google Scholar

Shyu, K.K., Liu, W.J. and Hsu, K.C. (2005). Design of largescale time-delayed systems with dead-zone input via variable structure control, Automatica 41(7): 1239-1246.10.1016/j.automatica.2005.03.004Search in Google Scholar

Slotine, J.J.E., Hedrick, J.K. and Misawa, E.A. (1987). On sliding observers for non-linear systems, ASME Journal of Dynamic Systems, Measurement, and Control 109: 245-252.10.1115/1.3143852Search in Google Scholar

Spurgeon, S.K. (2008). Sliding mode observers: A survey, International Journal of Systems Science 39(8): 751-764.10.1080/00207720701847638Search in Google Scholar

Sun, X.M., Wang, W., Liu, G.P. and Zhao, J. (2008). Stability analysis for linear switched systems with time-varying delay, IEEE Transactions on Systems, Man, and Cybernetics. Part B: Cybernetics, 38(2): 528-533.Search in Google Scholar

Unel, M., Sabanovic, A., Yilmaz, B. and Dogan, E. (2008). Visual motion and structure estimation using sliding mode observers, International Journal of Systems Science 39(2): 149-161.10.1080/00207720701747655Search in Google Scholar

Utkin, V.I. (1992). Sliding Modes in Control and Optimization, Springer-Verlag, Berlin/Heidelberg.10.1007/978-3-642-84379-2Search in Google Scholar

Walcott, B.L. and ˙Zak, S.H. (1987). State observation of nonlinear uncertain dynamical systems, IEEE Transactions on Automatic Control 32(2): 166-170.10.1109/TAC.1987.1104530Search in Google Scholar

Xiang, Z., Wang, R. and Chen, Q. (2010). Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching, International Journal of Applied Mathematics and Computer Science 20(3): 497-506, DOI: 10.2478/v10006-010-0036-0.10.2478/v10006-010-0036-0Search in Google Scholar

Yan, X.G. and Edwards, C. (2007). Nonlinear robust fault reconstruction and estimation using a sliding mode observer, Automatica 43(9): 1605-1614.10.1016/j.automatica.2007.02.008Search in Google Scholar

˙Zak, S.H. and Hui, S. (1993). Output feedback variable structure controllers and state estimators for uncertain/nonlinear dynamic systems, IEE Proceedings D 140(2): 41-50.10.1049/ip-d.1993.0006Search in Google Scholar