An LMI-Based Tool for H∞ Robust Performance Margin Evaluation of Uncertain Linear Systems and Robustification of Controllers

• 成果类型: Article
• 署名作者: de Oliveira, Paulo J.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3543125
• 发表日期: 2025
• 页码: 4889-4895
• 关键词: uncertainty; Linear matrix inequalities; mathematical models; vectors; Symmetric matrices; robust stability; Analytical models; resilience; training; Stability criteria; H-infinity norm; Linear matrix inequalities (LMIs); Linear systems; margins of performance; resilience of controllers; uncertain parameters

摘要

This article addresses the problem of robust performance analysis and synthesis for uncertain linear systems with state-space matrices containing parameters in bounded intervals. The novelty of the approach relies on treating the interval bounds as optimization variables, leading to two significant results. First, an analysis tool that evaluates the sensitivity of closed-loop performance criteria, such as the H-infinity norm, with respect to the bounds, is presented. The second contribution is an output-feedback synthesis tool aimed to enhance the resilience of controllers while maintaining or even optimizing closed-loop performance. Both contributions are formulated as linear matrix inequality-based algorithms, ensuring efficient computational solutions. The capability and effectiveness of the method are illustrated through numerical experiments.