Numerical Computation of the Minimal $\mathbfH_\infty$ Norm of the Discrete-Time Output Feedback Control Problem

DOI10.1137/S0036142997320206zbMath0969.93015OpenAlexW1981126702MaRDI QIDQ4509694

Wen-Wei Lin, Quan-Fu Xu, Chern-Shuh Wang

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142997320206

zbMATH Keywords

algorithmoutput feedback\(H_\infty\)-controlnumerical computationdiscrete-timesecant methoddeflating subspacesingular pencildiscrete-time Riccati equationssymplectic pencilinertia conditionsoptimal \(H_\infty\)-norm

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Eigenvalue problems (93B60) Matrix pencils (15A22)

Related Items (3)

Comments on: ``Delay-dependent robust \(H_\infty\) control for discrete-time uncertain singular systems with interval time-varying delays in state and control input [Journal of the Franklin Institute 347 (2010) 1704-1722] ⋮ Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations ⋮ Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations

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