Analysis of iterative learning control with high-order internal models for fractional differential equations

DOI10.1177/1077546316659222zbMath1400.93121OpenAlexW2492079690MaRDI QIDQ4554630

Shengda Liu, JinRong Wang

Publication date: 9 November 2018

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546316659222

zbMATH Keywords

convergence analysisfractional differential equationsiterative learning controlhigh-order internal modelvarying reference trajectory

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems governed by functional-differential equations (93C23) Adaptive control/observation systems (93C40)

Related Items (4)

Analysis on PD^α iterative learning control algorithm for fractional differential nonlinear singular systems ⋮ Convergence characteristics of PD-type and PDD^α-type iterative learning control for impulsive differential systems with unknown initial states ⋮ Robust high-order iterative learning control approach for two-dimensional linear discrete time-varying Fornasini–Marchesini systems with iteration-dependent reference trajectory ⋮ A simple and flexible modification of Grünwald-Letnikov fractional derivative in image processing

Cites Work

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• Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
• Lattice fractional calculus
• Fractional order nonlinear systems with delay in iterative learning control
• State variables and transients of fractional order differential systems
• Iterative learning control with initial state learning for fractional order nonlinear systems
• How to impose physically coherent initial conditions to a fractional system?
• A generalized Gronwall inequality and its application to a fractional differential equation
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Liouville equation on lattice phase-space
• Dynamics and control of initialized fractional-order systems
• On observability and pseudo state estimation of fractional order systems
• On the linearization theorem of Fenner and Pinto
• A survey on fractional-order iterative learning control
• Fractional-order iterative learning control for fractional-order linear systems
• On iterative learning control with high-order internal models
• D^α‐Type Iterative Learning Control for Fractional‐Order Linear Time‐Delay Systems
• Iterative learning controllers with time-varying gains for large-scale industrial processes to track trajectories with different magnitudes
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• A High-Order Internal Model Based Iterative Learning Control Scheme for Nonlinear Systems With Time-Iteration-Varying Parameters
• Advances in Fractional Calculus

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