A new method to design discontinuous stabilizing controllers for chained systems

Author

Ogata, A. ; Tashiro, Y. ; Liu, K.Z. ; Saito, O.

Author_Institution

Chiba Univ., Japan

Volume

2

fYear

2003

fDate

4-6 Aug. 2003

Firstpage

1428

Abstract

In this paper, we propose a new method to design discontinuous stabilizing controllers for chained systems. The proposed controllers yield exponential convergence of the states to the origin. In our method, the closed loop system of a chained system is formulated by a linear differential equation with a regular singular point at z=0. It is shown that the controller design method proposed by Astolfi, in which /spl sigma/ process is used for a coordinate transformation, is included in our method as a special case where the linear differential equation with a regular singular point at z=0 is limited to its subclass, namely an Euler differential equation. This method can be easily extended to apply to multiple chained systems.

Keywords

closed loop systems; control system synthesis; convergence; linear differential equations; sampled data systems; stability; Euler differential equation; closed loop system; controller design method; coordinate transformation; discontinuous stabilizing controllers; exponential state convergence; linear differential equation; multiple chained systems;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2003 Annual Conference

Conference_Location

Fukui, Japan

Print_ISBN

0-7803-8352-4

Type

conf

Filename

1324180