Study on the Sliding Mode of the Planar Switched Systems

Author

Wang, Jizhong ; Zhang, Yuejin ; Zhang, Changxue

Author_Institution

Sch. of Sci., Shandong Jianzhu Univ., Ji´´nan, China

Volume

3

fYear

2010

fDate

23-24 Oct. 2010

Firstpage

215

Lastpage

218

Abstract

The sliding mode, which is caused by the switching law, is studied for the planar closed-loop switched systems. Some new conceptions are developed based on the Euclid geometry. Both the existence conditions and stability conditions of the sliding mode region around the given switching boundaries are obtained by these conceptions. And the state feedback switching laws are designed to make sure the existence and stability of the sliding mode region. As an application of the theorems, a numerical simulation is shown to validate the main results.

Keywords

closed loop systems; control system synthesis; stability; state feedback; time-varying systems; variable structure systems; Euclid geometry; existence conditions; planar closed-loop switched systems; sliding mode region; stability conditions; state feedback switching laws; switching law; Linear systems; Manifolds; Stability analysis; State feedback; Switched systems; Switches; planar switched system; sliding mode; state feedback switching law; switching boundry;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-8432-4

Type

conf

DOI

10.1109/AICI.2010.283

Filename

5654777