Finite singularities of nonlinear systems. Output stabilization, observability, and observers

DOI10.1007/BF02259528zbMath0944.93026OpenAlexW2100781194MaRDI QIDQ1972716

Philippe Jouan, Jean-Paul Gauthier

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259528

zbMATH Keywords

observabilityobserversdynamic output feedbacksemiglobal stabilizationsingularity theorydynamic extensionsascending chain propertyoutput-stabilization

Mathematics Subject Classification ID

Related Items (12)

Observer design based on immersion technics and canonical form ⋮ Dynamic output stabilization of control systems: an unobservable kinematic drone model ⋮ On the triangular canonical form for uniformly observable controlled systems ⋮ High-gain observers for nonlinear systems with trajectories close to unobservability ⋮ Output feedback stabilization of non-uniformly observable systems ⋮ Asymptotic output tracking of a class of nonlinear systems by means of an observer ⋮ On determining unknown functions in differential systems, with an application to biological reactors. ⋮ Adaptive-Gain Observers and Applications ⋮ Continuous-discrete observers for global stabilization of nonlinear systems with applications to bioreactors ⋮ Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer ⋮ Genericity of observability of control-affine systems ⋮ New perspectives on output feedback stabilization at an unobservable target

Cites Work

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• Linearization by output injection and nonlinear observers
• Observability of real analytic vector fields on compact manifolds
• Contributions to stability theory
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Bilinearization up to output injection
• Applications of centre manifold theory
• High gain estimation for nonlinear systems
• Global stabilizability and observability imply semi-global stabilizability by output feedback
• Stability of polymerization reactors using I/O linearization and a high- gain observer
• Observability for systems with more outputs than inputs and asymptotic observers
• The structure of the level surfaces of a Lyapunov function
• Introduction to the theory of analytic spaces
• Observability for any<tex>u(t)</tex>of a class of nonlinear systems
• A Finiteness Criterion for Nonlinear Input–Output Differential Systems
• Nonlinear Observers with Linearizable Error Dynamics
• Single-input observability of continuous-time systems
• A simple observer for nonlinear systems applications to bioreactors
• Global Time-Varying Linearization up to Output Injection
• Nonlinear controllability and observability
• Observability and Observers for Nonlinear Systems
• A stable control structure for binary distillation columns

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