Abstract
It is known that the stability of a time-delay system can be analytically studied by means of the characteristic function (a necessary and sufficient stability condition is that all the infinitely many characteristic roots are located in the left half-plane). However, only a few real-world control systems with delays are proved to have characteristic functions. The DC motor drive system is such a system, where the delay is considered to arise from the thyristor, and has been extensively studied for various teaching and research purposes (it can be seen in undergraduate-level textbooks). However, to the best of the authors’ knowledge, the stability of DC motor drive system has not been well studied, due to the technical difficulty. For the DC motor drive system adopted in this paper, the speed control amounts to a stability problem (if the controller gains are fixed) or a proportional and integral (PI) stabilization problem for SISO delay systems. For the former problem, we can adopt the frequency-sweeping approach to address the stability problem w.r.t. the delay. For the latter problem, we can use the parameter-space approach to find the stability set in the three-dimensional parameter space. Finally, some representative examples are given to illustrate the effectiveness of the approach.
Published Version
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