Determination Of The Switching Times Of Thebang-bang Control For A Linear Stepping Motor by Lyapunov Functions

摘要

The linear tubular switched reluctance stepping motor is widely used in applications requiring high-precision linear positioning operations. But, the position evolution of this kind of stepping motors is oscillatory in the case of an open-loop control. In order to damp the position response of such motor, the bang-bang control is adopted. This classical control is simple to implement in practice. However, its successful application is dependent on the suitable determination of the switching instants for which there are no systematic methods allowing their determination. In this paper, a study allowing the determination of the switching instants of the bang-bang control is presented. This study is based on a stability analysis performed by Lyapunov's direct method which is suitable for the studied nonlinear system. The validity of the proposed method is proven by numerical simulations and in practice by the use of a test bench.