Robust Stability of Linear Time-Invariant Systems with Hybrid Uncertainties

This paper presents a study on the robust stability analysis of linear time-invariant systems with parameter uncertainties and norm-bounded uncertainties. By utilizing the structured singular value, necessary and sufficient conditions for robust stability are derived. Based on the stability conditio...

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Bibliographic Details
Published in2023 International Conference on Automation, Control and Electronics Engineering (CACEE) pp. 37 - 41
Main Authors Li, Yangxuan, Lu, Junguo
Format Conference Proceeding
LanguageEnglish
Published IEEE 20.10.2023
Subjects
Automation
norm-bounded uncertainty
Numerical simulation
parameter uncertainty
Robust stability
skewed structured singular value
Stability analysis
stability margin
Sufficient conditions
Uncertain systems
Uncertainty
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DOI10.1109/CACEE61121.2023.00017

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Summary:This paper presents a study on the robust stability analysis of linear time-invariant systems with parameter uncertainties and norm-bounded uncertainties. By utilizing the structured singular value, necessary and sufficient conditions for robust stability are derived. Based on the stability condition, the stability margin of the uncertain system is obtained from the skewed structured singular value. Additionally, numerical simulation results are provided to validate the effectiveness of the proposed methods.
DOI:10.1109/CACEE61121.2023.00017