On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

DOI10.1080/00207179.2010.541285zbMath1222.93096OpenAlexW2077662851MaRDI QIDQ3015118

Driss Boutat, Krishna Busawon

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1080/00207179.2010.541285

zbMATH Keywords

nonlinear observersobservable canonical formdynamic extension

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Observability (93B07)

Related Items (8)

Observer normal forms for a class of predator-prey models ⋮ Reduced-order dynamic observer error linearisation: a natural extension of observer error linearisation ⋮ Restricted dynamic observer error linearizability ⋮ Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics ⋮ Partial observer normal form for nonlinear system ⋮ Observer design for a class of nonlinear piecewise systems. Application to an epidemic model with treatment ⋮ Extended nonlinear observer normal forms for a class of nonlinear dynamical systems ⋮ Extended output depending normal form

Cites Work

• Linearization by output injection and nonlinear observers
• On characterizations of the input-to-state stability property
• Dynamic observer error linearization
• Bilinearization up to output injection
• Observer with linear error dynamics for nonlinear multi-output systems
• Time scaling for observer design with linearizable error dynamics.
• Disturbance attenuation using proportional integral observers
• 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
• Nonlinear Observer Design by Observer Error Linearization
• On Constructing Nonlinear Observers
• An approximate nonlinear observer with polynomial coordinate transformation maps
• Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection
• New algebraic-geometric conditions for the linearization by input-output injection
• Nonlinear Observer Design by Dynamic Observer Error Linearization

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