Analyzing the Transient Oscillation Process of a System Via Intermittent Control Based on an Approximate Model

ABSTRACT In nature, there is no ideal impulse response system. When the input is switched, the output cannot respond to this input instantaneously, which needs some time. This causes a transient oscillation process, which will inevitably affect the control accuracy, produce noise, and even cause fatigue damage. The usually adopted integer mathematical model is an ideal impulse response model and has no memory property. The fractional model has memory property, but the historical information before the switching time is usually lost. The transient oscillation process caused by intermittent control has rarely been reported in the obtained achievements with both the integer model and the fractional model. In this paper, based on the input‐output property of a system, we have studied this transient oscillation. First, the impulsive response is approximated as a short memory model according to its decaying property. Second, the intermittent signal is treated as a piece‐wise continuous signal to study. The study indicates that the transient oscillation is inevitable. This transient process is affected by the historical information within the memory length, and its duration is equal to the memory length. Different systems have different memory lengths. To optimize the transient oscillation process, we have to study the intermittent control approaches for different systems case by case. These do well with the engineering applications of intermittent control. Some numerical examples verify our theoretical analysis.