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时域中系统鲁棒稳定性的定量计算
引用本文:陈希平,薛剑平.时域中系统鲁棒稳定性的定量计算[J].兰州理工大学学报,1992(2).
作者姓名:陈希平  薛剑平
作者单位:甘肃工业大学自动控制系 (陈希平),广西电力试验研究所系统室(薛剑平)
摘    要:本文定量地考虑了当系统参数受到干扰时的稳定性问题。目的为对以状态空间法表示的线性系统鲁棒稳定性的定量计算提出一个统一的结论。文中首先对摄动的分类及对用李亚普诺夫理论求解受扰系统鲁棒稳定性的历史结果进行了述评,进而对其摄动的允许界限的计算提出了新方法。实例表明所示结果较少保守性。

关 键 词:摄动  状态空间  稳定性  鲁棒性  时域

Sufficient Conditions of Robust Stability for Systems in State Space Form
Chen Xiping.Sufficient Conditions of Robust Stability for Systems in State Space Form[J].Journal of Lanzhou University of Technology,1992(2).
Authors:Chen Xiping
Institution:Chen Xiping (Dept. of Automatic Control) Xue Jianping (Guangxi Institute of Electrical Research & Testing)
Abstract:The problem of stability of a nominally stable system in state space model subject to parameter perturbations is considered. The purpose of the paper is to present a unified way to compute quatitatively the results of robust stability for systems in state space model. The perturbation classification and stability robustness of linear systems in time domain by using lyapunov approach is reviewed historically first. The improved bounds on independent and dependent structured perturbations by using frequency domain method and nonsimilarity scaling technique is presented, them. Examples show that these results are less conservative than the previous ones based on lyapunov approach.
Keywords:perturbation  state spaces  stability  robustness  time domain
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