Adaptive observer for nonlinear fractional‐order systems

DOI10.1002/acs.2699zbMath1362.93025OpenAlexW2464695383WikidataQ57574817 ScholiaQ57574817MaRDI QIDQ5346513

Mohamed Darouach, Ibrahima N'Doye, Taous Meriem Laleg-Kirati, Holger Voos

Publication date: 24 May 2017

Published in: International Journal of Adaptive Control and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/acs.2699

zbMATH Keywords

linear matrix inequality (LMI)adaptive observerfractional-order nonlinear systemchaotic Lorenz systemindirect Lyapunov approach\(\mathcal{H}_\infty\) designchaotic Lü's system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40) (H^infty)-control (93B36) Observability (93B07) Fractional ordinary differential equations (34A08)

Related Items (7)

Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems ⋮ Dynamic output feedback \(H_\infty\) control for fractional-order linear uncertain systems with actuator faults ⋮ Robust H_∞ control for fractional order singular systems 0 < α < 1 with uncertainty ⋮ Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems ⋮ New criteria for guaranteed cost control of nonlinear fractional-order delay systems: a Razumikhin approach ⋮ Interval observers for linear functions of state vectors of linear fractional‐order systems with delayed input and delayed output ⋮ An integrated fault estimation and fault tolerant control method using H_∞‐based adaptive observers

Cites Work

• Unnamed Item
• Design of sliding mode controllers for nonlinear fractional-order systems via diffusive representation
• A generalized framework for robust nonlinear \(H_\infty\) filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties
• Estimation of thermal parameters using fractional modelling
• Dynamical robust \(H_\infty\) filtering for nonlinear uncertain systems: an LMI approach
• Initial conditions and initialization of linear fractional differential equations
• A Lyapunov approach to the stability of fractional differential equations
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• A necessary condition for double scroll attractor existence in fractional-order systems
• Limitations of frequency domain approximation for detecting chaos in fractional order systems
• Fractional-order systems and controls. Fundamentals and applications
• Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
• Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation
• Linear approximation of transfer function with a pole of fractional power
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• LMI optimization approach to robustH_∞observer design and static output feedback stabilization for discrete-time nonlinear uncertain systems
• Full-order observers for linear systems with unknown inputs
• Linear Matrix Inequalities in System and Control Theory
• A systematic approach to adaptive observer synthesis for nonlinear systems
• On fractional calculus and fractional multipoles in electromagnetism

This page was built for publication: Adaptive observer for nonlinear fractional‐order systems