Abstract
Recently, a design of model matching and adaptive control systems under the presence of measurement noise is reported by selecting a degree of characteristic polynomial of state observer. But this methods can be only used for the case where the plant has a stable inverse. In this paper, we will show that the idea is also applicable for a plant with input noise. This method can be carried out by simple calculation comparing with the design of Kalman filter or H∞ control. So the proposed method is adequate for an adaptive control in which the controllers must be calculated on line.