Modeling and State Feedback Controller Design of Tubular Linear Permanent Magnet Synchronous Motor

Author(s):  
Hossein Komijani ◽  
Saeed Masoumi Kazraji ◽  
Ehsan Baneshi ◽  
Milad Janghorban Lariche

In this paper a state feedback controller for tubular linear permanent magnet synchronous motor (TLPMSM) containing two gas springs, is presented. The proposed TLPMSM controller is used to control reciprocating motions of TLPMSM. The analytical plant model of TLPMSM is a multi-input multi-output (MIMO) system which is decoupled to some sub single-input single-output (SISO) systems, then, the sub SISO systems are converted to sub-state space models. Indeed, the TLPMSM state space model is decoupled to some sub-state spaces, and then, the gains of state feedback are calculated by linear quadratic regulation (LQR) method for each sub-state space separately. The controller decreases the distortions of the waveforms. The simulation results indicate the validity of the controller.

2013 ◽  
Vol 662 ◽  
pp. 797-800
Author(s):  
Xin Sun ◽  
Li Zhao ◽  
Tong Wei Yu

In this paper, the chaotification problem of a stable permanent magnet synchronous motor (PMSM) system is investigated. First, the stable PMSM plant is exactly represented by a simple continuous-time T–S fuzzy model with a few IF-THEN rules. A simple time-delay feedback controller is designed by parallel distributed compensation (PDC) technique. Then, Based on the T–S fuzzy system, We realize the anticontrol of chaos for the stable PMSM system by choosing parameters properly. Finally, the effectiveness of the proposed chaotic anticontrol method is verified by simulation results.


Author(s):  
Jian Hu ◽  
Long Liu ◽  
Da-wei Ma ◽  
Nasim Ullah

The permanent-magnet synchronous motor (PMSM) system, which is a nonlinear dynamic system, will exhibit a variety of chaotic or limit-cycle phenomenon under some choices in system parameters and external disturbances and its chaotic characteristics will become obvious. Based on the mathematical model of the PMSM system, the property of equilibrium points is analyzed and the relationship between Hopf bifurcation and the system parameters associated with control parameters is illustrated. In addition, bifurcation diagram, Lyapunov exponent map, and phase plane diagram are also presented in this paper. An adaptive nonlinear feedback controller, which could estimate the system parameters online, is then designed to eliminate the chaos and drive the speed of PMSM to a desired value in presence of system parametric uncertainty. Numerical simulation proves that the proposed control method has a better controlling effect than the general nonlinear feedback controller.


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