Robust Stabilization Of A Class Of Nonlinear Systems With Parametric Uncertainties

In this paper, we concentrate on the robust stabilization of a class of nonlinear systems with time-varying parametric uncertianties. The purpose of this paper is to design linear controllers (a state feedback contloller and a dynamic output feedback controller) for a class of nonlinear systems with time-varying parametric uncertainties such that the closedloop system is quadratically stable for all admissible uncert ainties.

[1]  Ian R. Petersen,et al.  A riccati equation approach to the stabilization of uncertain linear systems , 1986, Autom..

[2]  G. Leitmann.  Guaranteed Asymptotic Stability for Some Linear Systems With Bounded Uncertainties , 1979 .

[3]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[4]  I. Petersen.  A stabilization algorithm for a class of uncertain linear systems , 1987 .

[5]  I. Petersen.  Stabilization of an uncertain linear system in which uncertain parameters enter into the input matrix , 1988 .

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

[7]  B. Barmish.  Necessary and sufficient conditions for quadratic stabilizability of an uncertain system , 1985 .

[8]  B. Ross Barmish,et al.  An iterative design procedure for simultaneous stabilization of MIMO systems , 1987, Autom..

[9]  Lihua Xie,et al.  H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback , 1992 .

[10]  A. Yamakami,et al.  On the robustness of nonlinear regulators and its application to nonlinear systems stabilization , 1985 .

[11]  K. Wei,et al.  Robust stabilizability for linear systems with both parameter variation and unstructured uncertainty , 1987, 26th IEEE Conference on Decision and Control.

[12]  M. Corless,et al.  A new class of stabilizing controllers for uncertain dynamical systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[13]  B. R. Barmish,et al.  An Iterative Design Procedure for Simultaneous Stabilization of Mimo Systems , 1987 .