Abstract
Model reference adaptive control systems (MRACS) have been developed in order to solve several weak points of the design by modern control theory, though there are many constraints in MRACS yet. This paper describes the design of MRACS with unknown disturbances and improvement of transient responses. The disturbances are piecewise polynomial function of time, the degree (nd-1) is known, and the coefficients are unknown. This designed MRACS can eliminate the influence of disturbances and let output error be zero stably by increasing the degree of state variable filters. Frequently the responses of MRACS contain impulse functions. One of the cause is that the degree of numerator is less than the degree of denominator of the strictly positive real transfer function W(P). In this paper we show that the transient responses can be improved when the two degrees of numerator and denominator are same.
