多变量时滞系统鲁棒稳定性
Robust Stability for Multivariable System with Time Delays
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摘要: 基于Smith预估技术和多变量线性系统解耦鲁棒理论,研究了多变量时滞系统鲁棒 稳定性,得到在Smith预估严格匹配时闭环系统稳定,且摄动系统为鲁棒对角优势,则摄动系 统为鲁棒稳定的一般性结论.Abstract: Based on the Smith precompensation technique and the decoupling robust theory, this paper studies the robust stability of multivaliable system with time delays and derives the general conclusion that under the condition of Smith precompensation matching strictly, if the closed-loop system is stable and its perturbed system is robust diagonal dominance, the perturbed system must be robust stable. This result has the theoretical significance for resarch on the relation between system structure and its robustness, and also contributes the theoretical basis to robust design for the multivariable systems with uncertainty and time delays.
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