分数阶调节系统的状态空间建模与分析
Modelling and analysis of fractional-order regulated systems in the state space
摘要：
本文给出了分数阶调节系统在状态空间中的数学描述和分析。给出了分数阶动态调节系统的分析与综合结果的一些历史背景。然后给出了用分数阶$PD^δ$调节器对由等价于三元分数阶微分方程的状态空间方程描述的分数阶系统进行仿真的方法和结果。也被认为是调查这样的系统的稳定性的可能性。
英文摘要：
In this paper we present the mathematical description and analysis of a fractional-order regulated system in the state space. A little historical background of our results in the analysis and synthesis of the fractional-order dynamical regulated systems is given. The methods and results of simulations of the fractional-order system described by a state space equation equivalent to three-member fractional-order differential equation with a fractional-order $PD^δ$ regulator are then presented. The possibility of investigating the stability of such systems is also considered.
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