Analysis of the Nonrecursive Advanced Optimal Control of the Permanent Magnet Synchronous Motor Drive

The paper aims to underline the importance of applying complete optimal control to electric drives, in particular to Permanent Magnet Synchronous Motor (PMSM). The proposed optimal control has three components: the feedback componentassures energy minimization; the forcing component assures the zero steady state; the feedforward compensating component assures fast compensation of the disturbance. The methodology of obtaining this type of the advanced optimal control is based on variational calculus. The solution is a nonrecursive one, avoiding memorizing it from the final time to the initial time, as in the recursive case. Moreover, the solution is orientated to numerical implementation by using a zero order hold in order to solve adequately the matrix Riccati differential equation (MRDE). The practical implication of using the proposed method is the on-line computing possibility of the optimal control solution. The influences of the control weighted matrix upon the manipulated variable of the PMSM electric drive are shown by numerical simulation.