The Modified Optimal $\mathcal{H}_\infty$ Control Problem for Descriptor Systems

DOI10.1137/070710093zbMath1176.93023OpenAlexW1984632970MaRDI QIDQ3648543

Timo Reis, Volker Mehrmann, Lisa Katrin Poppe, Philip Losse

Publication date: 27 November 2009

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070710093

zbMATH Keywords

algebraic Riccati equationdescriptor system\(\mathcal{H}_\infty\) controleven matrix pencildeflating subspace\(\gamma\)-iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Feedback control (93B52) (H^infty)-control (93B36) Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

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Robust stabilization of differential‐algebraic systems ⋮ An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems ⋮ \(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers ⋮ Unnamed Item ⋮ Robust formulas for \(H_{\infty }\) optimal controllers ⋮ New approach on solving control problems with descriptor systems ⋮ Interval observer design for estimation and control of time-delay descriptor systems ⋮ Using permuted graph bases in \(\mathcal{H}_\infty\) control ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ ${\mathscr H}_\infty$ Problem with Nonstrict Inequality and All Solutions: Interpolation Approach

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