Toward enhancing nonlinear observers for Lipschitz system: exploiting the matrix multipliers-based LMIs

DOI10.1002/RNC.7552MaRDI QIDQ6646935

A. Zemouche, Shivaraj Mohite, Marouane Alma

Publication date: 3 December 2024

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

zbMATH Keywords

input-to-state stability (ISS)Lipschitz systemslinear parameter varying (LPV) approach\(\mathscr{H}_{\infty}\) criterionLMI-based nonlinear observer design

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Observers (93B53)

Cites Work

• On characterizations of the input-to-state stability property
• A robust circle criterion observer with application to neural mass models
• High gain observers with updated gain and homogeneous correction termsstar, open
• A unified \(\mathcal H_\infty\) adaptive observer synthesis method for a class of systems with both Lipschitz and monotone nonlinearities
• Circle criterion-based \(\mathcal{H}_\infty\) observer design for Lipschitz and monotonic nonlinear systems -- enhanced LMI conditions and constructive discussions
• On LMI conditions to design observers for Lipschitz nonlinear systems
• On the need for switched-gain observers for non-monotonic nonlinear systems
• Observer design for a class of nonlinear systems
• Linear Matrix Inequalities in System and Control Theory
• Sliding mode observer for nonlinear uncertain systems
• Observer-based control of systems with slope-restricted nonlinearities
• Smooth stabilization implies coprime factorization

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