Robust adaptive control in the presence of bounded disturbances

The model reference adaptive control of a linear plant subjected to bounded disturbances is considered. By analyzing a set of nonlinear differential equations, it is shown that the global behavior of the adaptive system depends upon the persistent excitation of the reference input as well as the amplitude of the external disturbances. The principal contribution of the paper is the derivation of sufficient conditions on the persistent excitation of the reference input, given the maximum amplitude of disturbance, for the signals in the adaptive system to be globally bounded.

[1]  R. Monopoli.  Model reference adaptive control with an augmented error signal , 1974 .

[2]  K. Narendra,et al.  On the uniform asymptotic stability of certain linear nonautonomous differential equations , 1976 .

[3]  W. Wonham,et al.  Probing signals for model reference identification , 1977 .

[4]  K. Narendra,et al.  On the Stability of Nonautonomous Differential Equations $\dot x = [A + B(t)]x$, with Skew Symmetric Matrix $B(t)$ , 1977 .

[5]  K. Narendra,et al.  Stable adaptive controller design--Direct control , 1978 .

[6]  P. Ramadge,et al.  Discrete-time multivariable adaptive control , 1979 .

[7]  A. Morse.  Global stability of parameter-adaptive control systems , 1979 .

[8]  K. Narendra,et al.  Bounded error adaptive control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[9]  K. Narendra,et al.  Stable discrete adaptive control , 1980 .

[10]  Bo Egardt,et al.  Global Stability Analysis of Adaptive Control Systems with Disturbances , 1980 .

[11]  K. Narendra,et al.  Stable adaptive controller design, part II: Proof of stability , 1980 .

[12]  G. Kreisselmeier.  On adaptive state regulation , 1982 .

[13]  K. Narendra,et al.  Stable model reference adaptive control in the presence of bounded disturbances , 1982 .

[14]  Claude Samson,et al.  Stability analysis of adaptively controlled systems subject to bounded disturbances , 1983, Autom..

[15]  Richard M. Johnstone,et al.  Adaptive systems and time varying plants , 1983 .