A New Method of Discretization of the Continuous-Time Controllers Based on the Matching of Frequency Response

Author

Chida, Yuichi ; Nishimu, Tomoaki

Author_Institution

Dept. of Mech. Syst. Eng., Shinshu Univ., Nagano

fYear

2006

Firstpage

827

Lastpage

832

Abstract

In the present paper, a digital redesign problem that converts continuous-time controllers into digital controllers is considered. A new discretization method based on matching of the frequency response of a continuous-time control system is proposed. The frequency response is matched using the least squares method based on data of discrete frequency points. The matching problem is described using an LMI, and the stability condition of the closed-loop system and the redesigned controller are also described additional conditions of LMIs. An optimizing problem described by some LMI conditions is solved by an iterative procedure. Examples are presented that prove the superior performance of the proposed method

Keywords

closed loop systems; continuous time systems; frequency response; iterative methods; least mean squares methods; linear matrix inequalities; optimisation; stability; LMI; closed-loop system; continuous-time controller; digital controller; digital redesign; discretization method; frequency response matching; iterative procedure; least squares method; linear matrix inequality; optimization; stability; Control systems; Digital control; Frequency response; Iterative methods; Least squares methods; Mechanical systems; Sampling methods; Shape control; Stability; Systems engineering and theory; Digital Redesign; Discretization; Frequency Response; LMI; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE-ICASE, 2006. International Joint Conference

Conference_Location

Busan

Print_ISBN

89-950038-4-7

Electronic_ISBN

89-950038-5-5

Type

conf

DOI

10.1109/SICE.2006.315342

Filename

4108939