Delay identification in time-delay systems using variable structure observers

In this paper we discuss delay estimation in time-delay systems. In the introduction section a short overview is given of some existing estimation techniques as well as identifiability studies. In the following sections we propose several algorithms for the delay identification based on variable structure observers.

[1]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[2]  Jean-Pierre Richard,et al.  Online parameter identification of linear time-delay systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  V. Lunel,et al.  Identification problems in functional differential equations , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[4]  Shouchuan Hu Differential equations with discontinuous right-hand sides☆ , 1991 .

[5]  A. Feuer,et al.  Time delay estimation in continuous linear time-invariant systems , 1994, IEEE Trans. Autom. Control..

[6]  F. Clarke Optimization And Nonsmooth Analysis , 1983 .

[7]  Sjoerd Verduyn Lunel Parameter identifiability of differential delay equations , 2001 .

[8]  Vadim I. Utkin,et al.  Sliding mode control in dynamic systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[9]  J. Kato Stability in functional differential equations , 1980 .

[10]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[11]  S. Drakunov Sliding-mode observers based on equivalent control method , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[12]  Sandro Zampieri,et al.  Controllability of Systems Described by Convolutional or Delay-Differential Equations , 2000, SIAM J. Control. Optim..

[13]  Mohamed Darouach,et al.  Linear functional observers for systems with delays in state variables , 2001, IEEE Trans. Autom. Control..

[14]  R. Kovacevic,et al.  Functional observer and state feedback for input time-delay systems , 1997 .

[15]  Derek P. Atherton,et al.  A novel identification method for time delay processes , 1999, 1999 European Control Conference (ECC).

[16]  Franco Blanchini,et al.  A Razumikhin-type lemma for functional differential equations with application to adaptive control , 1999, Autom..

[17]  Lotfi Belkoura,et al.  Identifiabilty of systems described by convolution equations , 2005, Autom..

[18]  Ilya Kolmanovsky,et al.  Preserving Stability/Performance when Facing an Unknown Time-Delay , 2000 .

[19]  Yury Orlov,et al.  Identifiability analysis of linear delay‐differential systems , 2002 .

[20]  Dong H. Chyung,et al.  Parameter identification of linear delay systems , 1989 .

[21]  M. Mahmoud,et al.  Adaptive stabilization of delay differential systems with unknown uncertainty bounds , 1998 .

[22]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[23]  Kemin Zhou,et al.  Robust stability of uncertain time-delay systems , 2000, IEEE Trans. Autom. Control..

[24]  Jean-Pierre Richard,et al.  Adaptive identification of linear time‐delay systems , 2003 .

[25]  M. Dambrine,et al.  On-Line Parameter Identification of Linear Time-Delay Systems , 2002 .

[26]  Myung Jin Chung,et al.  Observer-based H∞ controller design for state delayed linear systems , 1996, Autom..

[27]  Jesus Leyva-Ramos,et al.  An asymptotic modal observer for linear autonomous time lag systems , 1995, IEEE Trans. Autom. Control..

[28]  Heinz Unbehauen,et al.  Robust Hinfinity observer design of linear state delayed systems with parametric uncertainty: the discrete-time case , 1999, Autom..

[29]  Kok Kiong Tan,et al.  Finite Spectrum Assignment Control of Unstable Time Delay Processes with Relay Tuning , 1998 .

[30]  Olivier Sename,et al.  New trends in design of observers for time-delay systems , 2001, Kybernetika.

[31]  Mohamed Darouach,et al.  Design of reduced-order observers without internal delays , 1999, IEEE Trans. Autom. Control..

[32]  Yutaka Yamamoto,et al.  Reachability of a class of infinite-dimensional linear systems: an external approach with applicatio , 1989 .

[33]  A. Stephen Morse Ring models for delay-differential systems , 1976, Autom..

[34]  Alfredo Germani,et al.  A state observer for nonlinear delay systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[35]  Erik I. Verriest,et al.  Robust stability and adaptive control of time-varying neutral systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[36]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[37]  A. Kumar,et al.  Delayless observers for systems with delay , 1986 .