State-feedback current control of permanent magnet synchronous machine based automotive electrical traction drives under real-time and physical constraints

A relevant challenge for the automotive industry is the control of permanent magnet synchronous machines (PMSMs) employed in automotive electrical traction drives. A common characteristic of these applications is the fast dynamics which is subject to several physical and real-time constraints. Therefore, the goal of this paper is to provide an effective control methodology that can answer to this challenging problem. To this end, firstly, using a standard quadratic control Lyapunov function (CLF), a linear control law is obtained for the unconstrained dynamics. Secondly, a piecewise affine control law defined on a mesh partition of the error-space is obtained for the constrained dynamics. As a result, the complexity of the PMSM state feedback control problem is significantly reduced. To illustrate the effectiveness of the developed synthesis method a realistic simulation scenario is considered, including a comparison with the classical PI approach.