Studying the transient process of an intermittent control system from its response property. (English) Zbl 07912590
Summary: As we all know, the output of a system is affected by its input and response properties. When the input switches, there must exist a transient process in the output and this transient process is different for different systems due to their different response properties and different dynamic process. However, the response property and dynamic process have rarely been studied in the obtained achievements about the transient process of an intermittent control system. The obtained achievements cannot agree with the real physical process and cannot be applied to study the transient process in engineering.
By introducing the unit step function and taking the intermittent input signal as a piecewise signal, we have studied the transient process. Our research shows that the transient process is related to the response characteristics, historical dynamic information, and control parameters, which agrees well with the real system and can be applied to analyze and optimize the transient process in engineering. Some examples in our paper verify our theoretical achievements.
By introducing the unit step function and taking the intermittent input signal as a piecewise signal, we have studied the transient process. Our research shows that the transient process is related to the response characteristics, historical dynamic information, and control parameters, which agrees well with the real system and can be applied to analyze and optimize the transient process in engineering. Some examples in our paper verify our theoretical achievements.
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
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