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Nonlinear Control using the Variable Structure Control with Sliding Sector  

한종길 (한려대학교 멀티정보통신학과)
손영수 (한려대학교 멀티정보통신학)
배상현 (조선대학과 전산통계학과)
Abstract
Chattering phenomenon is still a large drawback of VSS. To overcome this problem, various approaches have been reported. A new notion of sliding sector has been proposed recently. Inside this sector, a kind of norm of the state decreases without control input. Therefore, so long as the state is constrained inside this sector, the norm of the state approaches to zero. The sliding sector theory is elementary study step and is studied about only linear systems. In this paper, new methods of stabilizing unstable nonlinear systems using the sliding sector is proposed. This paper analyzes the stability, using Lyapunov function on the sliding sector. Through the computer simulations for an inverted pendulum system, it is verified that sliding sector control is capable to reduce the chattering.
Keywords
Variable structure control; Sliding sector control; Sliding sector; Nonlinear control;
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