LMI conditions for contraction, integral action, and output feedback stabilization for a class of nonlinear systems

DOI10.1016/j.automatica.2023.111106zbMath1520.93400OpenAlexW4376125378MaRDI QIDQ6175616

Mattia Giaccagli, Daniele Astolfi, Sophie Tarbouriech, Vincent Andrieu

Publication date: 24 July 2023

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2023.111106

zbMATH Keywords

contractionnonlinear systemsobserversseparation principleintegral actionincremental stabilityLMIssector boundmonotonic

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Observers (93B53)

Cites Work

• Fully distributed robust synchronization of networked Lur'e systems with incremental nonlinearities
• Uniform output regulation of nonlinear systems. A convergent dynamics approach.
• A unifying point of view on output feedback designs for global asymptotic stabilization
• On contraction analysis for non-linear systems
• Global stabilizability and observability imply semi-global stabilizability by output feedback
• Circle and Popov criteria as tools for nonlinear feedback design.
• On LMI conditions to design observers for Lipschitz nonlinear systems
• Incremental quadratic stability
• Convergent systems vs. incremental stability
• Infinite gain margin, contraction and optimality: an LMI-based design
• Backstepping controller synthesis and characterizations of incremental stability
• Observer design for systems with multivariable monotone nonlinearities
• Transverse Exponential Stability and Applications
• A High-Gain Nonlinear Observer With Limited Gain Power
• A Differential Lyapunov Framework for Contraction Analysis
• A separation principle for the stabilization of a class of nonlinear systems
• Some Results on Exponential Synchronization of Nonlinear Systems
• Contractive Systems with Inputs
• Characterizations of Global Transversal Exponential Stability
• Further Results on Incremental Input-to-State Stability
• High‐gain observers in nonlinear feedback control
• Control Contraction Metrics: Convex and Intrinsic Criteria for Nonlinear Feedback Design
• Convergence of Nonlinear Observers on $\BBR^{n}$ With a Riemannian Metric (Part I)
• Lyapunov Functions Obtained from First Order Approximations
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• Nonlinear observers: A circle criterion design and robustness analysis
• Sufficient Conditions for Global Integral Action via Incremental Forwarding for Input-Affine Nonlinear Systems

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