Based On Differential Geometry Permanent Magnet Linear Synchronous Motor Nonlinear Control

With the rapid development of world science and technology, accelerating urbanization and high-rise buildings continue to gush. In the vertical lift system, the new cordless lifting system proposed a "high-speed, high-acceleration, high-precision" and multiple requirements. Using permanent magnet synchronous linear motor drive new cordless lifting system as a power source from the existing situation is the best solution.Permanent magnet synchronous linear motor has both permanent magnet synchronous linear motor and linear motor dual characteristics. With a simple mechanical structure, low friction, no pollution, no recoil, long-distance high-speed high-precision positioning, etc., can drive elevators directly to make ultra-high-speed linear motion. So its running state directly determines the elevator safe and efficient operation. However, since the end effect, the cogging, the system parameter changes, friction and other uncertainties will reduce servo system performance. Meanwhile, the load disturbance will have no buffer directly effect on the permanent magnet linear synchronous motor. So it puts forward higher requirements to design the servo system controller.In this paper, choose permanent magnet linear synchronous motor as the study object. Aim at permanent magnet linear synchronous motor has multi-input multi-output, strong coupling characteristics of nonlinear systems and Susceptible to internal parameters and external disturbances. In order to achieve the good control performance of permanent magnet linear synchronous motor (PMLSM) in vertical lift system. Based on the theory of induction motor, the vector control of PMLSM is analyzed. Set up the mathematical model of PMLSM. Proposed nonlinear system of differential geometry state feedback linearization method and input-output decoupling linearization of differential geometry.The nonlinear system of linear synchronous motel is turned into a linear system, On this basis, an optimal controller was designed to control it. At last, The simulation results verify the correct estimate of the control strategy of the states, and it develop the robustness of PMLSM. Comparing the PID algorithm, the proposed algorithm has great superiority.Then article treatise the second method, which is called input-output decoupling linearization of differential geometry. Acquire input-output linearization model of permanent magnet linear synchronous motor through the coordinate transformation. on this basis design the optimal controller. With Matlab simulation, the experimental results show that this method also improves the dynamic performance of the system, with a good robustness, anti-interference, Achieved decoupling between variables in permanent magnet linear servo system. It improves the accuracy of PMLSM. Comparing the PI algorithm, the proposed algorithm has great superiority.The last part summarizes and compares the two control methods of this thesis, and makes a prospect to the next research.