Transformation the nonlinear system into the observer form: simplification and extension

DOI10.3166/ejc.15.177-183zbMath1298.93117OpenAlexW1985186040MaRDI QIDQ468302

Tanel Mullari, Yu. R. Kotta

Publication date: 6 November 2014

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

Full work available at URL: https://doi.org/10.3166/ejc.15.177-183

zbMATH Keywords

discrete-time systemsdifferential formsnonlinear control systemsobserver formstate and output equivalence

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Observability (93B07) Transformations (93B17)

Related Items (6)

Transformation of nonlinear discrete-time state equations into the observer form: extension to non-reversible case ⋮ Algebraic conditions for state equivalence to a discrete-time nonlinear observer canonical form ⋮ Global linearization approach to nonlinear control systems: a brief tutorial overview ⋮ Extended observer form: simple existence conditions ⋮ Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms ⋮ Extended observer form: simple existence conditions

Cites Work

• Unnamed Item
• Linearization by output injection and nonlinear observers
• A new procedure for time-varying linearization up to output injection
• Remarks on linearization of discrete-time autonomous systems and nonlinear observer design
• Observer design for autonomous discrete-time nonlinear systems
• Algebraic methods for nonlinear control systems. Theory and applications.
• On observer design for nonlinear discrete-time systems
• On the observer design in discrete-time
• Sampled-data observer error linearization
• Single Output-Dependent Observability Normal Form
• Canonical form observer design for non-linear time-variable systems
• Nonlinear Observers with Linearizable Error Dynamics
• Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection
• On output transformations for state linearization up to output injection
• New algebraic-geometric conditions for the linearization by input-output injection
• Nonlinear Observer Design by Dynamic Observer Error Linearization
• A Direct Method for the Construction of Nonlinear Discrete-Time Observer With Linearizable Error Dynamics

This page was built for publication: Transformation the nonlinear system into the observer form: simplification and extension