Analysis and compensation of chaotic response in DC motor drive

Abstract

The paper is concerned with the stability analysis and the ramp compensation of a permanent magnet dc drive system operated in two and four-quadrant. The stability analysis is based on the eigenvalues of the Jacobian matrix of the Poincare Map Function (PMF). Using the auxiliary state vector, the Jacobian matrix can be determined without the derivation of the PMF. A compensating sawtooth signal is used to avoid bifurcation and improve the performance of the DC drive. The slope of the ramp signal is also determined by the auxiliary state vector. The results are verified by computer simulations in the time domain.