Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

[1]  S. Lefschetz.  Stability of nonlinear control systems , 1966 .

[2]  S. Żak,et al.  State observation of nonlinear uncertain dynamical systems , 1987 .

[3]  R. Kálmán.  LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL. , 1963, Proceedings of the National Academy of Sciences of the United States of America.

[4]  M. Corless,et al.  Output feedback stabilization of uncertain dynamical systems , 1984, The 23rd IEEE Conference on Decision and Control.

[5]  M. Hammami.  On the Stability of Nonlinear Control Systems with Uncertainty , 2001 .

[6]  Hansheng Wu,et al.  Exponential stability of a class of nonlinear dynamical systems with uncertainties , 1993 .

[7]  D. Dawson,et al.  Continuous state feedback control guaranteeing exponential stability for uncertain dynamical systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[8]  M. Vidyasagar,et al.  Nonlinear systems analysis (2nd ed.) , 1993 .

[9]  B. Walcott.  Nonlinear Output Stabilization of Uncertain Systems , 1990, 1990 American Control Conference.

[10]  M. Corless,et al.  Output feedback stabilization of uncertain dynamical systems , 1984 .

[11]  T. Başar.  Absolute Stability of Nonlinear Systems of Automatic Control , 2001 .

[12]  Mohamed Ali Hammami,et al.  On the output feedback stability for non-linear uncertain control systems , 2001 .

[13]  Stanislaw H. Zak,et al.  Combined observer-controller synthesis for uncertain dynamical systems with applications , 1988, IEEE Trans. Syst. Man Cybern..

[14]  D. Dawson,et al.  On the state observation and output feedback problems for nonlinear uncertain dynamic systems , 1992 .

[15]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .