Adaptive Robust State Observers of Uncertain Dynamical Systems with Time-Varying Delays

DOI: 10.4236/ojapps.2012.24B039   PDF   HTML     3,249 Downloads   4,596 Views  

Abstract

The problem of adaptive robust state observer design is considered for a class of uncertain dynamical systems with Time-varying delays. A new method is presented whereby a class of memoryless adaptive robust state observers with simpler structure is proposed. It is also shown that by employing the proposed adaptive robust state observer, the observation error between the observer state estimate and the true state can be guaranteed to be uniformly exponentially convergent towards a ball which can be as small as desired. Finally, a numerical example is given to demonstrate the validity of the results.

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Wu, H. (2012) Adaptive Robust State Observers of Uncertain Dynamical Systems with Time-Varying Delays. Open Journal of Applied Sciences, 2, 170-174. doi: 10.4236/ojapps.2012.24B039.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] B.L. Walcott and S.H. Zak, “State observation of nonlinear uncertain dynamical systems, ” IEEE Trans. Automat. Contr., vol.32, 166–170, 1987.
[2] D.M. Dawson, Z. Qu, and J.C. Carroll, “On the state observation and output feedback problems for nonlinear uncertain dynamic systems,” Syst. Contr. Let., vol.18, 217–222, 1992.
[3] D.W. Gu and F.W. Poon:, “A robust state observer scheme, ” IEEE Trans. Automat. Contr., vol.46, 1958–1963, 2001.
[4] J. Leyva--Ramos and A.E. Pearson, “An asymptotic modal observer for linear autonomous time lag systems,” IEEE Trans. Automat. Contr., vol.40, 1291–1294, 1995.
[5] H. Trinh and M. Aldeen, “Comments on An asymptotic modal observer for linear autonomous time lag systems,” IEEE Trans. Automat. Contr., vol.42, 742–745, 1997.
[6] H.H. Choi and M.J. Chung, “Robust observer–based controller design for linear uncertain time-delay systems, ” Automatica, vol.33, 1749--1752, 1997.
[7] M. Darouach, “Reduced-order observers for linear neutral delay systems,” IEEE Trans. Automat. Contr., vol.50, 1407--1413, 2005.
[8] Y.H. Chen, “Adaptive robust observers for non-linear uncertain systems,” International Journal of Systems Science, vol.21, 803--814, 1990.
[9] H. Wu and T. Tanaka, “Adaptive robust asymptotic state observers for uncertain nonlinear dynamical systems,” IEEJ Trans. Electr. Informat. Syst., vol.127, 726--732, 2007.
[10] H. Wu, “Memoryless Adaptive Robust Asymptotic State Observers for a Class of Nonlinear Time--Delay Systems,” IET Control Theory Appl., vol.3, 843--851, 2009.

  
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