Design of reduced-order observers without internal delays

This paper provides a simple and systematic design method of reduced-order observers without internal delays for systems having a time delay in the state variables. Necessary and sufficient conditions for the existence of these observers are given.

[1]  C. D. Souza,et al.  Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach , 1997, IEEE Trans. Autom. Control..

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

[3]  A. Pearson,et al.  Feedback stabilization of linear autonomous time lag systems , 1986 .

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

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

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

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

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

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

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

[11]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[12]  H. Khalil,et al.  Adaptive stabilization of a class of nonlinear systems using high-gain feedback , 1987 .

[13]  P. Florchinger Adaptive Stabilization of Nonlinear Stochastic Systems , 1998 .

[14]  Masami Ito,et al.  Finite spectrum assignment problem of systems with multiple commensurate delays in states and control , 1984 .

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

[16]  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.

[17]  Jie Chen,et al.  Asymptotic stability independent of delays: simple necessary and sufficient conditions , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[18]  Jie Chen,et al.  On sufficient conditions for stability independent of delay , 1994, Proceedings of 1994 American Control Conference - ACC '94.