Title :
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
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;
Conference_Titel :
Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-8432-4
DOI :
10.1109/AICI.2010.283