An iterative method to design optimal non-fragile \(H_{\infty}\) observer for Lipschitz nonlinear fractional-order systems

DOI10.1007/s11071-014-1889-9zbMath1345.93050OpenAlexW2081642923MaRDI QIDQ745697

Elham Amini Boroujeni, Hamid Reza Momeni

Publication date: 14 October 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1889-9

zbMATH Keywords

linear matrix inequalityLyapunov stabilityiterative methodfinancial systemnon-fragilityrobust nonlinear fractional-order observer

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Observability (93B07) Qualitative investigation and simulation of ordinary differential equation models (34C60) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (1)

\(H_\infty/H_-\) fault detection observer design for nonlinear conformable fractional-order systems

Uses Software

• YALMIP
• LMI toolbox
• Ninteger

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Active sliding observer scheme based fractional chaos synchronization
• Robust stabilization of uncertain descriptor fractional-order systems
• Resilient design of discrete-time observers with general criteria using LMIs
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Fractional-order systems and controls. Fundamentals and applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• LMI criteria for robust chaos synchronization of a class of chaotic systems
• A fractional adaptation law for sliding mode control
• Linear Matrix Inequalities in System and Control Theory
• A systematic approach to adaptive observer synthesis for nonlinear systems
• Nonlinear state observation using H/sub /spl infin//-filtering Riccati design
• Nonlinear-Observer-Based ${\cal H}_{\infty}$ Synchronization and Unknown Input Recovery
• Fractional‐Order Dynamic Output Feedback Sliding Mode Control Design for Robust Stabilization of Uncertain Fractional‐Order Nonlinear Systems

This page was built for publication: An iterative method to design optimal non-fragile \(H_{\infty}\) observer for Lipschitz nonlinear fractional-order systems