鲁棒稳定性和鲁棒对角优势的关系
The Relation Between Robust Stability and Robust Diagonal Dominance
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摘要: 本文研究了多输入多输出系统的鲁棒稳定性和鲁棒对角优势的关系.不仅给出了使系统 鲁棒对角优势所需的鲁棒稳定性条件,而且还得出了系统鲁棒对角优势一定保证系统鲁棒稳 定这个一般性的结论.并可根据本文所给的结果,对允许摄动的最大边界进行估计,包括非结 构摄动的范数上界和结构性摄动的摄动矩阵的各元素的模的估计.本文得出的鲁棒对角优势 保证鲁棒稳定的结果是较少保守性的.Abstract: This paper is concerned with the relationship between robust stability and robust diagonal dominance for MIMO systems. It is shown that a system can be robust diagonal dominance under some robust stability conditions, and a general conclusion that robust diagonal dominance is a sufficient condition for robust stability is derived. The results of this paper can be used to estimate the maximum bounds of allowable perturbations, including upper bounds of the norms for unstructured perturbation and moduli of elements of perturbation matrix for structured perturbation. The result of robust diagonal dominance guaranteeing robust stability in this paper is less conservative.
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Key words:
- Robustness /
- stability /
- diagonal dominance /
- multi-input and multi-output system
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