Abstract
In this paper we discuss a model reference adaptive control system for single-input, single-output linear discrete-time plant. It is assumed that the plant has unknown and time-varying parameters and that ramp-wise waveform disturbances are imposed on the plant. The observability condition of the state and the disturbance is examined, the minimum time state and disturbance observer is given, the controller for the model reference control is presented, and the minimum time parameter identifier is shown. The adaptive control system using the observer, the controller and the identifier is obtained. Numerical examples are given to illustrate the effectiveness of the adaptive control system.