On the geometric structures of the \(\mathcal{H}_\infty\) controllers for descriptor systems

DOI10.1016/j.automatica.2018.06.018zbMath1402.93086OpenAlexW2809091263MaRDI QIDQ1626955

Y. Aharonov

Publication date: 21 November 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.06.018

zbMATH Keywords

descriptor systemsgeometric control theorygeneralized algebraic Riccati equations\(\mathcal{H}_\infty\) control problem

Mathematics Subject Classification ID

(H^infty)-control (93B36) Geometric methods (93B27) Algebraic methods (93B25)

Cites Work

• \(\mathcal{H}_2\) optimal control for generalized discrete-time systems
• On the geometric and dynamic structures of the \({\mathcal H}_2\) optimal and \({\mathcal H}_\infty\) central controllers
• Observability of structured linear systems in descriptor form: a graph-theoretic approach
• Analysis and design of descriptor linear systems
• On the generalized algebraic Riccati equation for continuous-time descriptor systems
• Singular control systems
• A tutorial on the geometric analysis of linear time-invariant implicit systems
• \(H_ \infty\) control for descriptor systems: A matrix inequalities approach
• An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects
• Numerical solution to a descriptor discrete-time algebraic Riccati equation
• Reduced-order \(H^\infty\) controller design -- an algebraic Riccati equation approach
• Robust control and filtering of singular systems.
• Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits
• $\mathcal{H}_\infty$ Control Problem for Discrete-Time Algebraic Dynamical Systems
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems

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