Some numerical considerations in \(\mathcal{H}_\infty\) control

DOI10.1016/j.sysconle.2016.03.009zbMath1358.93072OpenAlexW2343135308MaRDI QIDQ518696

Keith Glover, Andrew K. Packard

Publication date: 30 March 2017

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.03.009

zbMATH Keywords

numerical methods\(\mathcal{H}_\infty\) controlloop-shaping control

Mathematics Subject Classification ID

Uses Software

• RICPAC

Cites Work

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• A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control
• Robust controller design using normalized coprime factor plant descriptions
• A new set of invariants for linear systems--Application to reduced order compensator design
• Simplifying theH∞ theory via loop-shifting, matrix-pencil and descriptor concepts
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Truncated balanced realization of a stable non-minimal state-space system
• A Schur method for solving algebraic Riccati equations
• Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
• A Characterization of All Solutions to the Four Block General Distance Problem
• Existence Theorems for Positive Semidefinite and Sign Indefinite Stabilizing Solutions of $H_\infty $ Riccati Equations
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation

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