Observer design for linear singular time-delay systems

Three kinds of observers for linear singular time-delay systems, namely functional observers, reduced-order observers and full-order observers, are considered in this paper. About the former two, observers with and without internal delay are considered respectively. About the latter, observers without internal delay is given. The corresponding design steps for various observers, which are all normal linear time-delay systems, are presented. Numerical examples are given to illustrate the methods.

[1]  M. Malek-Zavarei,et al.  Time-Delay Systems: Analysis, Optimization and Applications , 1987 .

[2]  F. Jun-e,et al.  Guaranteed cost control of linear uncertain singular time-delay systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  E. Boukas,et al.  Robust H/sub /spl infin// control of singular continuous-time systems with delays and uncertainties , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[4]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

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

[6]  Pyung H. Chang,et al.  An Observer Design for Time-Delay Control and its Application to DC Servo Motor , 1993, 1993 American Control Conference.

[7]  R. Gressang,et al.  Observers for systems characterized by semigroups , 1975 .

[8]  H. Koivo,et al.  An observer theory for time delay systems , 1976 .

[9]  J. Leyva-Ramos,et al.  An asymptotic observer for linear autonomous time lag systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

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

[11]  Cornelius T. Leondes,et al.  Observer theory for systems with time delay , 1979 .

[12]  Tsu-Tian Lee,et al.  Memoryless H∞ controller for singular systems with delayed state and control ☆ , 1999 .

[13]  D. Salamon.  Observers and duality between observation and state feedback for time delay systems , 1980 .

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

[15]  A. Olbrot,et al.  Observability and related structural results for linear hereditary systems , 1981 .

[16]  E. W. Kamen,et al.  Linear systems with commensurate time delays: stability and stabilization independent of delay , 1982 .

[17]  W. Kwon,et al.  Memoryless H∞ controllers for state delayed systems , 1994, IEEE Trans. Autom. Control..

[18]  Shengyuan Xu,et al.  Robust stability and stabilization for singular systems with state delay and parameter uncertainty , 2002, IEEE Trans. Autom. Control..