Abstract
A novel approach for controlling permanent magnet synchronous machines (PMSMs) based on switched systems theory is presented in this paper. The PMSM is generally fed by a three-phase voltage source inverter with six electronic switches whose control is responsible for orchestrating the machine shaft velocity towards a desired steady-state value. This assembly is modeled as a nonlinear switched system characterized by sinusoidal functions of the machine shaft displacement, whose properties are suitably explored in order to obtain the control design conditions. Our main goal is to design a state dependent switching function for this class of switched nonlinear systems to assure asymptotic stability and a maximum guaranteed decay rate for the closed-loop system. The design is based on a non-quadratic Lyapunov function and the stability conditions are expressed in the form of a generalized eigenvalue minimization problem. A simulation example is used to show the efficiency of the proposed control methodology as well as to discuss future work.
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