Electronic Circuit Realization and Adaptive Control of a Chaotic Permanent Magnet Synchronous Motor

Abstract

In this paper, the electronic circuit realization of the mathematical model of a normalized chaotic permanent magnet synchronous motor (PMSM) is presented. The mathematical model of a permanent magnet synchronous motor is remodeled so that it conforms to nonlinear chaotic-algebraic structure. The chaotic PMSM is thus, diffeomorphic to the canonical Lorenz chaotic system in it simplified form which is a three-dimensional coupled system consisting of the torque, q-axis current and d-axis currents as state vectors. Robust adaptive control laws are formulated to drive the state variables of the chaotic PMSM master and slave systems into states of synchrony in finite time while simultaneously estimating the unknown state parameters of the slave system. The results of the numerical simulations of the mathematical model of the chaotic PMSM with MATLAB matched those realized through the design of autonomous electronic circuit using NI Multisim simulation software. The dynamics generated by the chaotic PMSM is suitable for cross-discipline applications such as secure communications and biometric security amongst others.