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Local stability and performance robustness of nonlinear systems with structured uncertainty

机译:具有结构不确定性的非线性系统的局部稳定性和性能鲁棒性

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摘要

This paper focuses on robust stability and performance of uncertain nonlinear systems with structured locally bounded uncertainty. It is shown that, in a general setting under a considerably mild structural assumption, a local small gain condition implies robust local performance. The feature of this paper is that the performance is defined in a local sense, which is a realistic property inherently nonlinear systems can achieve. The local robustness is analyzed purely in terms of input-output properties so that the proof involves neither state-space descriptions nor Hamilton-Jacobi equations.
机译:本文关注具有结构局部有界不确定性的不确定非线性系统的鲁棒稳定性和性能。结果表明,在一般情况下,在相当温和的结构假设下,局部小增益条件意味着稳健的局部性能。本文的特点是性能是在局部意义上定义的,这是非线性系统固有的可以实现的现实特性。纯粹基于输入输出属性来分析局部鲁棒性,因此证明既不涉及状态空间描述也不涉及Hamilton-Jacobi方程。

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