A Design Method of Model Reference Adaptive Control for SISO Nonminimum Phase Continuous-Time Systems Using Approximate Inverse Systems

Abstract

This paper presents a new method for model reference adaptive control for SISO nonminimum phase continuous-time systems. The usual model reference adaptive techniques cannot be applied to nonminimum phase systems, because the boundedness of all signals is not kept in the model reference adaptive control system. This paper uses an approximate inverse system applicable to the nonminimum phase continuous-time system which assures that the system input and output remain bounded at any time. The least squares approximation is used to find these approximate inverse systems. Finally, the results of computer simulation are presented to illustrate the effectiveness of the proposed method.