Abstract
This paper describes discrete-time and discrete-value (discretized/quantized) PID control and robust stabilization for continuous plants. Although all control systems are currently realized using discretized signals, the analysis and design of such nonlinear discrete-time control systems has not been elucidated. In this paper, the robust stability analysis of discrete-time and discrete-value (digital) control systems that accompany discretizing units at the input and output sides of a nonlinear element is performed in the frequency domain, and a method for achieving PID control and robust stabilization for nonlinear discretized systems on a grid pattern in the time and control variables space is presented. In the design procedure, a modified Nichols diagram and parameter specifications are applied. Numerical examples are provided to verify the validity of the designing method.
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