Stability Robustness Measures under Dependent Uncertainty

R. Yedavalli
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引用次数: 25

Abstract

This paper addresses the aspect of stability robustness analysis for linear continuous time systems with structured parametric uncertainty. New results on upper bounds for robust stability are presented for two types of functional dependence of uncertain parameters in the perturbation matrix, namely i) linear dependence and ii) a special quadratic variation in a scalar parameter. The technique presented generalizes the available results into a unified framework and offers improved bounds over the existing ones by fully exploiting the structure (dependency among parameters) of the uncertainty.
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相关不确定性下的稳定性鲁棒性测度
研究了具有结构参数不确定性的线性连续时间系统的稳定性鲁棒性分析问题。对于扰动矩阵中不确定参数的两类泛函依赖,即i)线性依赖和ii)标量参数的特殊二次变分,给出了鲁棒稳定性上界的新结果。该技术通过充分利用不确定性的结构(参数之间的依赖关系),将现有的结果推广到一个统一的框架中,并在现有结果的基础上提供改进的边界。
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