In order to improve the control efficiency and balance accuracy of rotor automatic balance, a fuzzy self-tuning single neuron PID control method is proposed in this paper. Based on the single neuron PID control method, the fuzzy control theory is introduced to adjust the output gain K of single neuron PID control to realize single neuron PID control with variable step size. In order to verify the superiority of this method, the method we designed in this paper is compared with the traditional PID control method and the single neuron PID control method by the simulation and self-built experimental platform. Experiments and simulation results show that the fuzzy self-tuning single neuron PID control method has faster response time, less overshoot amount and fewer oscillation times than the traditional PID control method and the single neuron PID control method, and has strong robustness and good stability.

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A power system is employed to illustrate how we can apply the singular perturbation theory to decompose a full system into two subsystems, and slow and fast subsystems, respectively. Then we can study the qualitative properties of their solutions and finally obtain the stability region and the analytical expression of the approximate stability boundary of the operation point of the full system by numerical simulation and computing the local quadratic approximation of one-dimensional stable manifold at saddle point. Furthermore, we consider the effects of changing of the parameters on the size of the stability region.

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