Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations

DOI10.1016/j.cnsns.2012.05.027zbMath1263.93051OpenAlexW2063981310WikidataQ112880624 ScholiaQ112880624MaRDI QIDQ1948231

Yanyan Li

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.05.027

zbMATH Keywords

Riccati equationsreduced-order observersfull-order observersone-sided Lipschitz systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15)

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Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• On synchronization of chaotic systems based on the Thau observer design
• Adaptive full-order and reduced-order observers for the Lur'e differential inclusion system
• A note on observer design for one-sided Lipschitz nonlinear systems
• Robust adaptive observer for nonlinear systems with unmodeled dynamics
• A Riccati equation approach to the stabilization of uncertain linear systems
• Strong invariance and one-sided Lipschitz multifunctions
• Circle-criterion approach to discrete-time nonlinear observer design
• Solving Ordinary Differential Equations I
• Observers for one-sided Lipschitz non-linear systems
• A note on observer for one-sided Lipschitz non-linear systems
• Reduced-order observer design for one-sided Lipschitz non-linear systems
• Nonlinear Observers with Linearizable Error Dynamics
• Matrix Analysis
• Nonlinear Observer Design by Observer Error Linearization
• Linear Matrix Inequalities in System and Control Theory
• Observers for Lipschitz nonlinear systems
• Observer-based control of systems with slope-restricted nonlinearities
• A note on observers for Lipschitz nonlinear systems
• Robust Nonlinear Observer for Lipschitz Nonlinear Systems Subject to Disturbances
• Observing the state of non-linear dynamic systems
• Nonlinear observers: A circle criterion design and robustness analysis

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