Discretized Model-Reference Feedback and Robust Stabilization on Integer Grid Coordinates

This paper deals with a stabilizing and designing problem of discretized model-reference feedback control systems on integer grid coordinates. At present, all feedback control systems are realized using discretized signals. However, the analysis and design of discrete-time and discrete-value (point-to-point) control systems has not been established. In this paper, a robust stability condition for such control systems with multiple discretizations (nonlinearities) is presented in a frequency domain by using Ostrowski's M-matrix expression. As a result, model-reference feedback control systems are sufficiently stabilized and well designed. Numerical examples are provided to verify the design method.