A slow manifold approach to linear equivalents of nonlinear singularly perturbed systems

DOI10.1016/0005-1098(89)90085-XzbMath0685.93038OpenAlexW1966653449MaRDI QIDQ1262266

Khashayar Khorasani

Publication date: 1989

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(89)90085-x

zbMATH Keywords

input-output linearizationnonlinear singularly perturbed systemshigh gain feedback controlexternal linearizationparasitic decoupling problemreduced order decompositionsslow manifold theoryweakly and strongly linearizable

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) General theory for ordinary differential equations (34A99)

Related Items (3)

Control of hybrid step motors via a simplified linearization technique ⋮ Slow-fast \(n\)-dimensional piecewise linear differential systems ⋮ Applications and prospect of the nonlinear decoupling method

Cites Work

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• Feedback linearization of a flexible manipulator near its rigid body manifold
• Nonlinear control systems: An introduction
• On the linear equivalents of nonlinear systems
• Feedback equivalence for a class of nonlinear singularly perturbed systems
• Nonlinear decoupling via feedback: A differential geometric approach
• Preservation of controllability in linear time-invariant perturbed systems†
• On linearization of nonlinear singularity perturbed systems

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