A canonical expansion for nonlinear systems

DOI10.1109/TAC.1986.1104358zbMath0618.93028OpenAlexW2120065732MaRDI QIDQ3755307

Renjeng Su, Louis R. Hunt

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1109/tac.1986.1104358

zbMATH Keywords

series expansionLie bracketsvector fields

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Control/observation systems governed by ordinary differential equations (93C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

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Control of mechanical systems with flexibility via a multi-input VS/backstepping design ⋮ Nonlinear field voltage control of a synchronous generator using feedback linearization ⋮ Approximating linearizations for nonlinear systems ⋮ Stable inversion for nonlinear systems ⋮ Feedback linearization of transverse dynamics for periodic orbits ⋮ Nonlinear observers for two classes of perturbed systems ⋮ Realizations of nonlinear systems ⋮ Linear dynamics hidden by input-output linearization ⋮ Fuzzy observer-based sampled-data control for a class of pure-feedback nonlinear systems ⋮ Unnamed Item ⋮ Least-squares integration of one-dimensional codistributions with application to approximate feedback linearization ⋮ On modular backstepping design with second order sliding modes

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