title: Stabilization and synchronization for a mechanical system via adaptive sliding mode control.
abstract: In this paper, we investigate the synchronization problem of chaotic centrifugal flywheel governor with parameters uncertainty and lumped disturbances. A slave centrifugal flywheel governor system is considered as an underactuated following-system which a control input is designed to follow a master centrifugal flywheel governor system. To tackle lumped disturbances and uncertainty parameters, a novel synchronization control law is developed by employing sliding mode control strategy and Nussbaum gain technique. Adaptation updating algorithms are derived in the sense of Lyapunov stability analysis such that the lumped disturbances can be suppressed and the adverse effect caused by uncertainty parameters can be compensated. In addition, the synchronization tracking-errors are proven to converge to a small neighborhood of the origin. Finally, simulation results demonstrate the effectiveness of the proposed control scheme.
authors.affiliation: School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China. Electronic address: songzhankuiwudi@163.com.
authors.forename: Zhankui
authors.initials: Z
authors.lastname: Song
authors.affiliation: School of Control Science and Engineering, Dalian University of Technology, Dalian 116034, China. Electronic address: sunkb@dlut.edu.cn.
authors.forename: Kaibiao
authors.initials: K
authors.lastname: Sun
authors.affiliation: School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China. Electronic address: 1071271886@qq.com.
authors.forename: Shuai
authors.initials: S
authors.lastname: Ling
keywords: Adaptive control; Non-autonomous centrifugal governor; Sliding mode control; Synchronization tracking