title: Robust finite-time chaos synchronization of uncertain permanent magnet synchronous motors.
abstract: In this paper, a robust finite-time chaos synchronization scheme is proposed for two uncertain third-order permanent magnet synchronous motors (PMSMs). The whole synchronization error system is divided into two cascaded subsystems: a first-order subsystem and a second-order subsystem. For the first subsystem, we design a finite-time controller based on the finite-time Lyapunov stability theory. Then, according to the backstepping idea and the adding a power integrator technique, a second finite-time controller is constructed recursively for the second subsystem. No exogenous forces are required in the controllers design but only the direct-axis (d-axis) and the quadrature-axis (q-axis) stator voltages are used as manipulated variables. Comparative simulations are provided to show the effectiveness and superior performance of the proposed method.
authors.affiliation: College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, PR China. Electronic address: sdnjchq@zjut.edu.cn.
authors.forename: Qiang
authors.initials: Q
authors.lastname: Chen
authors.affiliation: School of Automation, Beijing Institute of Technology, Beijing 100081, PR China.
authors.forename: Xuemei
authors.initials: X
authors.lastname: Ren
authors.affiliation: Kunming University of Science and Technology, Kunming 650093, PR China.
authors.forename: Jing
authors.initials: J
authors.lastname: Na
keywords: Chaos synchronization; Finite-time control; Parametric uncertainty; Permanent magnet synchronous motor