On the formulation and solution of robust performance problems

DOI10.1016/S0005-1098(03)00184-5zbMath1031.93077OpenAlexW2118933557MaRDI QIDQ1413929

Michael Cantoni, Alexander Lanzon

Publication date: 17 November 2003

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(03)00184-5

zbMATH Keywords

robust performancestructured singular value\(\mu\)-synthesis\(\mathcal H_{\infty}\)-controloptimising performanceperformance weight synthesisperformance-robustness tradeoffsskewed-\(\mu\)

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) (H^infty)-control (93B36) Eigenvalue problems (93B60) Synthesis problems (93B50)

Related Items

Data‐driven mixed‐sensitivity control with automated weighting functions selection ⋮ On the formulation and solution of robust performance problems ⋮ Simultaneous optimization of performance weights and a controller in mixed-\(\mu\) synthesis ⋮ State-space solution to weight optimization problem in \(\mathcal H_\infty\) loop-shaping control ⋮ A parameterization of parahermitian matrix functions and its application to a state-space solution for \(\mu\)-analysis ⋮ Pointwise in frequency performance weight optimization in µ-synthesis ⋮ Robust performance analysis for uncertain negative‐imaginary systems ⋮ Weight optimisation in \(\mathcal H_{\infty}\) loop-shaping ⋮ An iterative algorithm for maximizing robust performance in H∞ loop-shaping design

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• A measure of worst-case \(H_ \infty\) performance and of largest acceptable uncertainty
• On the formulation and solution of robust performance problems
• Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
• The complex structured singular value
• The robustness of feedback systems with bounded complexity controllers

This page was built for publication: On the formulation and solution of robust performance problems