Design of a Multi-rate Control System Using Null-Space in State-space Representation

Steady‐State Dual‐Rate Open‐Loop Transfer Function Model‐Based Ripple‐Free Design

“…In the conventional extension methods [2,[4][5][6], the dynamic characteristic of the controlled plant is required to maintain the transient response as well as the steady-state response. On the other hand, the proposed method is designed based on the steady-state characteristic of the open-loop transfer function model.…”

“…In this method, a control law is extended independent of the existing sampled response. Furthermore, redundant input [3]-based extension methods using the null-space have been also proposed [4][5][6][7].…”

“…Even though the design methods are useful for eliminating the steady-state intersample ripples, the dynamics of the controlled plant must maintain the transient response as well as the steadystate response [2,[4][5][6]. When the design objective is to eliminate the steady-state ripples, the preservation of the discrete-time transient response is not essential, and only the discrete-time a Correspondence to: Takao Sato.…”