Fractional order polytopic systems: robust stability and stabilisation

DOI10.1186/1687-1847-2011-35zbMath1267.93132OpenAlexW2108068012WikidataQ59268438 ScholiaQ59268438MaRDI QIDQ355172

Christophe Farges, Jocelyn Sabatier, Mathieu Moze

Publication date: 24 July 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-35

zbMATH Keywords

state feedbacklinear matrix inequalitiesrobust controlfractional order systemsparameter-dependent stability matricespolytopic systemsquadratic stabilization problemrobust pseudo-state feedback stabilization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Robust stability (93D09) Fractional ordinary differential equations (34A08)

Related Items (14)

Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties ⋮ A stability test for non-commensurate fractional order systems ⋮ Maximal perturbation bounds for robust stabilizability of fractional-order systems with norm bounded perturbations ⋮ A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems ⋮ New results on stability and stabilization of delayed Caputo fractional order systems with convex polytopic uncertainties ⋮ Investigation of robust stability of fractional order multilinear affine systems: \(2q\)-convex parpolygon approach ⋮ Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties ⋮ Active sliding observer scheme based fractional chaos synchronization ⋮ Robust stability of fractional order system with general interval uncertainties ⋮ LMI stability conditions and stabilization of fractional-order systems with polytopic and two-norm bounded uncertainties for fractional-order \(\alpha\): the \(1 < \alpha < 2\) case ⋮ Fault-tolerant control against actuator failures for uncertain singular fractional order systems ⋮ A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations ⋮ Robust stability bounds of uncertain fractional-order systems ⋮ Dynamic observer-based control for fractional-order uncertain linear systems

Cites Work

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• Pseudo-state feedback stabilization of commensurate fractional order systems
• Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
• LMI stability conditions for fractional order systems
• Robust stability check of fractional order linear time invariant systems with interval uncertainties
• Linear Matrix Inequalities in System and Control Theory
• An LMI approach to stabilization of linear discrete-time periodic systems
• LMI Characterization of Fractional Systems Stability

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