Stabilization of uncertain linear systems: an LFT approach

DOI10.1109/9.481607zbMath0845.93068OpenAlexW2083557522MaRDI QIDQ4875952

Wei-Min Lu, John C. Doyle, Zhou, Kemin

Publication date: 16 September 1996

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/2388/

zbMATH Keywords

synthesisrobust stabilizationlinear matrix inequalityoutput feedbackseparation principlelinearlinear fractional transformationstructured singular valuesfull information feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Design techniques (robust design, computer-aided design, etc.) (93B51) Transformations (93B17)

Related Items (13)

Robust and gain-scheduling control of LFT systems through duality and conjugate Lyapunov functions ⋮ Bounded real lemma for structured noncommutative multidimensional linear systems and robust control ⋮ Model reduction of distributed nonstationary LPV systems ⋮ Noncommutative rational functions, their difference-differential calculus and realizations ⋮ On the balanced truncation and coprime factors reduction of Markovian jump linear systems ⋮ Control of nonstationary LPV systems ⋮ Equivalence of robust stabilization and robust performance via feedback ⋮ Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting ⋮ Coprime factors reduction methods for linear parameter varying and uncertain systems ⋮ Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting ⋮ Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras ⋮ Filter design: a finite dimensional convex optimization approach ⋮ Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions

Uses Software

• LMI toolbox

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