Geometric structures using model predictive control for an electromagnetic actuator

Control of permanent magnetic actuators is not an easy task because of the presence of the nonlinear quadratic terms of the currents. In order to achieve a suitable controlled dynamics canceling the effect of the nonlinearity, a new control strategy has been conceived. The proposed strategy combines the geometric eigenvector concept through a pre-compensation action and a Model Predictive Control (MPC) strategy. The pre-compensation action is conceived through an input partition matrix based on the eigenvector concept. It is known that each eigenvector represents an invariant subspace for the system and this property is useful to realize a very simple control technique which is able to speed up the controlled dynamics without incurring oscillations. This technique can be applied to a large variety of actuators. Simulation results are reported to validate the proposed strategy.