Abstract
This paper presents a new method for designing a discrete model reference adaptive control (DMRAC) system by input synthesis adaptation. The controlled plant is a single-input and single-output, continuous-time, linear plant. The control is performed by a digital computer. Liapunov's direct method is used to establish a parameter-adjustment law which ensures an asymptotic stability of the error signal. A sufficient condition of stability for the DMRAC system is clarified. The derived adaptive control algorithm can be implemented through a simple and systematic design procedure. In the implementation only available input-output data of the plant are used and no parameters of the reference model or of the plant are used.
Moreover, this paper presents the equivalent parameter adaptation of this method. The results of computer simulation of the adaptive control applied to a stable plant and to an unstable plant are included to illustrate the effectiveness of the proposed method.
