DocumentCode :
2325282
Title :
Stabilization of Hybrid System with Unstabilizable Subsystems
Author :
Pan, Yaodong ; Furuta, Katsuhisa
Author_Institution :
The 21st Century COE Project Office, Tokyo Denki University, Hatoyama, Hiki-gun, Saitama 350-0394, Japan; E-MAIL: pan@ham.coe.dendai.ac.jp
Volume :
2
fYear :
2005
fDate :
18-21 Aug. 2005
Firstpage :
1053
Lastpage :
1058
Abstract :
This paper proposes a variable structure (VS) control algorithm for a hybrid system where all of subsystems are unstabilizable, i.e. there exists at least one uncontrollable and unstable subspace for each subsystem. It has been shown that there exists a norm decrease subspace called sliding sector inside which a Lyapunov function decreases without any control effort even if the system is unstable. In this paper, the sliding sector is used to find a norm decrease subspace for each subsystem and a feedback law is designed so that each point in the state space is inside at least a sliding sector of some subsystem. Therefore the VS control law of the hybrid system is to switch the hybrid system among unstabilizable subsystems to ensure the decrease of the Lyapunov function in the state space. Simulation results are given to show the efficiency of the proposed hybrid control algorithm.
Keywords :
Hybrid System; Lyapunov Function; Sliding Sector; Stabilization; Unstabilizable Subsystem; Variable Structure Control; Control systems; Cybernetics; Lyapunov method; Machine learning; Modeling; Riccati equations; State feedback; State-space methods; Switches; Systems engineering and theory; Hybrid System; Lyapunov Function; Sliding Sector; Stabilization; Unstabilizable Subsystem; Variable Structure Control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
Type :
conf
DOI :
10.1109/ICMLC.2005.1527099
Filename :
1527099
Link To Document :
بازگشت