Zero-State Performance Improvement and Analysis in a Dynamic Certainty Equivalent Adaptive Controller Using a Dynamic High Gain Feedback Compensator

Abstract

A new structure of Morse's dynamic certainty equivalent adaptive controllers with a dynamic high gain feedback compensator in the continuous-time, single-input single-output linear time-invariant plant is proposed in this paper. The boundedness of all the signals in the closed-loop system and the convergence of the output error are proved. Furthermore, the mean square tracking error and L_∞ bounds on the tracking error are obtained. According to the performance bounds, it is shown that an arbitrary improved zero-state transient performance can be obtained. Finally a numerical example is illustrated in order to show the effectiveness of the proposed method.