Hamiltonian Modeling and Passivity-based Control of Permanent Magnet Linear Synchronous Motor

In view of the control problem of Permanent magnet linear synchronous motor (PMLSM), applying port-controlled Hamiltonian (PCH) systems and passivity -based control theory, the modeling of Permanent Magnet Linear Synchronous Motor is presented. Using energy-shaping and passivity-based control (PBC) method, the control principle of PMLSM is given. The control laws are presented in load known conditions. The equilibrium stability is analyzed and the feedback controller is designed for the control system of PMLSM. A simulation model has been established in the Simulink/Matlab environment and the simulation results are given. In order to compare the control effect, traditional PID control simulation results are also provided in the same conditions. The simulation results show that the proposed scheme has a better performance than that of conventional PID controller. Keywords—permanent magnet linear synchronous motor, energy-shaping, Hamiltonian system, passivity-based control, stability, modeling