Discrete-Time Q-Dissipative Control with Application to Stability Margin Guarantee

Discrete-Time Q-Dissipative Control with Application to Stability Margin Guarantee
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离散时间Q耗散控制及其在稳定裕度保证中的应用

DOI：
10.3166/ejc.8.213-219
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发表时间：
2002
期刊：
Eur. J. Control
影响因子：
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通讯作者：
Kenji Sugimoto
Kenji Sugimoto
中科院分区：
--
文献类型：
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作者：
A. Satoh;Kenji Sugimoto

文献摘要

被引文献

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本文研究了离散时间耗散控制，提出了一种保证给定稳定裕度的控制器设计方法。本文首先将已有的连续时间耗散控制方法推广到离散时间情形，重点讨论了回路转移系统的二次型耗散性，用Q来衡量它不一定是稳定的。然后，通过采取适当的Q，反馈系统被设计成对于插入到反馈回路中的预定范围的扰动是鲁棒稳定的。这种稳健性包括作为特例的经典的幅度和相位裕度。
This paper studies discrete-time dissipative control and proposes a design method for a controller ensuring a given stability margin. The paper begins by generalizing an existing continuous-time dissipative control method into the discrete-time case, with emphasis on a quadratic dissipativity, measured by Q, of the loop transfer system that is not necessarily stable. Then, by taking suitable Q, the feedback system is designed so that it is robustly stable against a pre-specified range of perturbations inserted in the feedback loop. This robustness includes the classical gain and phase margins as a special case.