Feedback linearization of nonlinear differential‐algebraic control systems

DOI10.1002/rnc.5921zbMath1527.93135arXiv2104.02141MaRDI QIDQ6082710

Yahao Chen

Publication date: 2 December 2023

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02141

zbMATH Keywords

feedback linearizationcontrolled invariant submanifoldsconstrained mechanical systemdifferential-algebraic control systemsexplicitationexternal and internal feedback equivalence

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linearizations (93B18) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Controlled invariance for nonlinear differential-algebraic systems
• On controllability and observability of implicit systems
• Feedback stabilization of control systems described by a class of nonlinear differential-algebraic equations
• A geometric characterization of the reachable and the controllable subspaces of descriptor systems
• Asymptotic output tracking of nonlinear differential-algebraic control systems
• On the linear equivalents of nonlinear systems
• Singular control systems
• A tutorial on the geometric analysis of linear time-invariant implicit systems
• On an existence and uniqueness theory for nonlinear differential- algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• Proportional and proportional-derivative canonical forms for descriptor systems with outputs
• A survey of linear singular systems
• From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems
• Invariant subspaces and invertibility properties for singular systems: The general case
• On a geometrical interpretation of differential-algebraic equations
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Global transformations of nonlinear systems
• Feedback control of affine nonlinear singular control systems
• The Zero Dynamics Form for Nonlinear Differential-Algebraic Systems
• Controllability of Linear Differential-Algebraic Systems—A Survey
• Geometric Analysis of Differential-Algebraic Equations via Linear Control Theory