Design of Sampled-Data Critical Control Systems Based on the Fast-Discretization

Abstract

This paper proposes a simplified design method for sampled-data critical control systems with rate-limited exogenous inputs. Fast-discretization technique is used to obtain the input-output relationship with intersample behavior. From the input-output relationship, we derive an approximate condition for the critical specification. It is given as the inequality constraint on the step response, which can be calculated recursively. Controller parameters are determined by a numerical search. A design example is presented to show the validity of the proposed method.