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Stability analysis for fractional-order PD controlled delayed systems

机译:分数阶PD控制的时滞系统的稳定性分析

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This paper aims to solve all possible fractional PD controllers to stabilize the given system. Robust stability with margins, namely phase margin and gain margin, is also considered. The obtained parameters' regions are described on delay-parameter plane. Figures are obtained by critical boundary, which reflects that controlled system's critical characteristic root. Critical boundary is analyzed via D-decomposition method. In this paper, delay is processed as a revealed element by Rekasius transformation. An example is given to illustrate the proposed method. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:本文旨在解决所有可能的分数PD控制器,以稳定给定系统。还考虑了具有裕度(即相位裕度和增益裕度)的鲁棒稳定性。在延迟参数平面上描述获得的参数区域。数字是通过临界边界获得的,它反映了受控系统的临界特征根。通过D分解法分析临界边界。在本文中,延迟通过Rekasius变换作为显式元素处理。举例说明了该方法。 (C)2016富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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  • 来源
    《Journal of the Franklin Institute》 |2016年第13期|3118-3132|共15页
  • 作者单位

    Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China;

    Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China;

    Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China;

    Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China;

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  • 入库时间 2022-08-18 02:57:48

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