Optimal controller for interior permanent magnet synchronous motor based on hamiltonian control

For nonlinear mathematical model of interior permanent magnet Synchronous motor(IPMSM), a speed control system based on the port-controlled Hamiltonian(PCH) is proposed. The controller is designed by the orthogonal decomposition and the method of interconnection and damping assignment Passivity Based Control(IDA-PBC). It is confirmed that the system is stable. A method to obtain damping coefficient is given with that turn the speed control problems into the solving it for first order differential equations with damping coefficient. Then an optimization method is presented that at the same time to consider constraint voltage of the inverter and maximum torque per ampere(MTPA) of the IPMSM, to provide expectations of equilibrium point for Hamilton controller. Simulation results show that the system has well control performance.