Immersion of Non-Linear Systems into Linear Systems up to Output Injection: Characteristic Equation Approach

DOI10.1080/00207170410001715040zbMath1069.93006OpenAlexW2123348880MaRDI QIDQ4651175

Juhoon Back, Jin Heon Seo

Publication date: 21 February 2005

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

Full work available at URL: https://doi.org/10.1080/00207170410001715040

zbMATH Keywords

nonlinear systemsnonlinear observerimmersibility

Mathematics Subject Classification ID

Related Items (10)

Dynamic observer error linearization ⋮ On multi-valued observers for a class of single-valued systems ⋮ Reduced-order dynamic observer error linearisation: a natural extension of observer error linearisation ⋮ Constructive algorithm for system immersion into non-linear observer form ⋮ Observer design for nonlinear discrete-time systems: Immersion and dynamic observer error linearization techniques ⋮ Linearization through state immersion of nonlinear systems admitting Lie symmetries ⋮ An algorithm for system immersion into nonlinear observer form: SISO case ⋮ Immersion-Based Observer Design ⋮ Observer design using a generalized time-scaled block triangular observer form ⋮ Observer design for nonlinear triangular systems with unobservable linearisation

Cites Work

• Linearization by output injection and nonlinear observers
• Nonlinear system immersion, observers and finite-dimensional filters
• New directions in nonlinear observer design. International workshop, Geiranger Fjord, Norway, June 24--26, 1999
• Observer with linear error dynamics for nonlinear multi-output systems
• Nonlinear Observers with Linearizable Error Dynamics
• Non-linear observer design by transformation into a generalized observer canonical form
• Nonlinear Observer Design by Observer Error Linearization
• On nonlinear continuous observers
• Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection
• New algebraic-geometric conditions for the linearization by input-output injection
• Observer linearization by output-dependent time-scale transformations

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