Synthesis of nonlinear observers: A harmonic-analysis approach

DOI10.1007/BF02088304zbMath0691.93005OpenAlexW4238132738MaRDI QIDQ3033615

No author found.

Publication date: 1989

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02088304

zbMATH Keywords

observersbilinear systemsKilling systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Observability (93B07) Synthesis problems (93B50) Abstract harmonic analysis (43A99)

Related Items (20)

An observer for infinite-dimensional dissipative bilinear systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ Observers for infinite dimensional bilinear systems ⋮ Exact observability and exponential stability of infinite-dimensional bilinear systems ⋮ Output feedback stabilization of non-uniformly observable systems ⋮ Infinite-dimensional Luenberger-like observers for a rotating body-beam system ⋮ Nonlinear Observer Design for Chaotic Systems ⋮ Nonlinear Observer Design for Population Biology Systems ⋮ General Observer Design for Continuous-Time and Discrete-Time Nonlinear Systems ⋮ Design of a continuous-discrete observer for state affine systems ⋮ Continuous-discrete adaptive observers for state affine systems ⋮ Optimality problem for infinite dimensional bilinear systems ⋮ Nonlinear observers in reflexive Banach spaces ⋮ Observer design for continuous-discrete time state affine systems up to output injection ⋮ Event-triggered observer design for output-sampled systems ⋮ Observer synthesis for a class of nonlinear control systems ⋮ Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process ⋮ New perspectives on output feedback stabilization at an unobservable target ⋮ Local observer design for nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linearization by output injection and nonlinear observers
• Nonlinear system immersion, observers and finite-dimensional filters
• Bilinearization up to output injection
• Minimal realizations and canonical forms for bilinear systems
• Observation of bilinear systems with application to biological control
• Orthogonal representations of nonlinear systems and input-output maps
• Représentations de groupes localement compacts
• Unitary immersions of nonlinear systems
• Observability for any<tex>u(t)</tex>of a class of nonlinear systems
• A Finiteness Criterion for Nonlinear Input–Output Differential Systems
• Canonical form observer design for non-linear time-variable systems
• Nonlinear Observers with Linearizable Error Dynamics
• On nonlinear observers
• Local accessibility, local reachability, and representations of compact groups
• Single-input observability of continuous-time systems
• Nonlinear regulation: The piecewise linear approach
• An existence theorem for observers of bilinear systems
• Exponential observers for nonlinear dynamic systems
• Minimal order state observers for bilinear systems
• Existence and uniqueness of minimal realizations of nonlinear systems
• A Decomposition Theory for Differentiable Systems
• Stable state estimator for bilinear systems
• On the Observability of Polynomial Systems, I: Finite-Time Problems
• A global formulation of the Lie theory of transformation groups
• The “Bang-Bang” Problem for Certain Control Systems in $GL(n,R)$
• Les Fonctions De Type Positif et la Theorie Des Groupes

This page was built for publication: Synthesis of nonlinear observers: A harmonic-analysis approach