Design of robust controllers for uncertain dynamical systems

The general design approach for robust controllers of uncertain dynamical systems is considered. The design approach, utilizing only the bound of uncertainty, can be used to construct various classes of controllers which render the systems practically stable. No statistical information of the uncertainty is required, and the system performance is described in a deterministic manner. >

[1]  L. Grayson Two theorems on the second method , 1964 .

[2]  Lawrence P. Grayson,et al.  The status of synthesis using Lyapunov's method , 1965, Autom..

[3]  R. Monopoli,et al.  Discussion on "Two theorems on the second method" , 1966 .

[4]  George Leitmann,et al.  Stabilizing Control for Linear Systems with Bounded Parameter and Input Uncertainty , 1975, Optimization Techniques.

[5]  G. Leitmann,et al.  Stabilizing feedback control for dynamical systems with bounded uncertainty , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

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

[7]  S. Gutman Uncertain dynamical systems--A Lyapunov min-max approach , 1979 .

[8]  G. Leitmann On the Efficacy of Nonlinear Control in Uncertain Linear Systems , 1981 .

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

[10]  B. Barmish,et al.  On guaranteed stability of uncertain linear systems via linear control , 1981 .

[11]  S. Gutman,et al.  Properties of Min-Max Controllers in Uncertain Dynamical Systems , 1982 .

[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]  George Leitmann,et al.  On ultimate boundedness control of uncertain systems in the absence of matching assumptions , 1982 .

[14]  Y. H. Chen,et al.  On the deterministic performance of uncertain dynamical systems , 1986 .

[15]  G. Leitmann,et al.  Robustness of uncertain systems in the absence of matching assumptions , 1987 .

[16]  Y. H. Chen,et al.  On the Robustness of Mismatched Uncertain Dynamical Systems , 1987 .