Iterative learning control for boundary tracking of uncertain nonlinear wave equations

DOI10.1016/j.jfranklin.2018.10.004zbMath1402.93166OpenAlexW2896967899WikidataQ129100663 ScholiaQ129100663MaRDI QIDQ1622216

Xuefang Li, Wei He, Shuang Zhang, Deqing Huang

Publication date: 19 November 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2018.10.004

zbMATH Keywords

robustnessiterative learning controlnonlinear hyperbolic distributed parameter systemsuncertain nonlinear wave equations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Learning and adaptive systems in artificial intelligence (68T05) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41)

Related Items (6)

Iterative learning feedback control for linear parabolic distributed parameter systems with multiple collocated piecewise observation ⋮ Application of the iterative learning control of a non-linear MIMO wave equation ⋮ Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems ⋮ Fault-tolerant control for a class of linear interconnected hyperbolic systems by boundary feedback ⋮ Iterative learning algorithms for boundary tracing problems of nonlinear fractional diffusion equations ⋮ Boundary iterative learning control for a class of first-order hyperbolic system with non-local terms

Cites Work

• Unnamed Item
• Iterative learning control of inhomogeneous distributed parameter systems -- frequency domain design and analysis
• Rough solutions of the Einstein-vacuum equations
• Partial differential equations and solitary waves theory
• Partial differential equations. 4th ed
• A reliable technique for solving the wave equation in an infinite one-dimensional medium
• Linear and nonlinear iterative learning control
• An iterative learning algorithm for boundary control of a stretched moving string
• Two novel iterative learning control schemes for systems with randomly varying trial lengths
• Unified iterative learning control for flexible structures with input constraints
• Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach
• Backstepping boundary observer based-control for hyperbolic PDE in rotary drilling system
• \(\mathrm D\)-type anticipatory iterative learning control for a class of inhomogeneous heat equations
• Iterative learning control for nonlinear dynamic systems with randomly varying trial lengths
• An Iterative Learning Control Approach for Linear Systems With Randomly Varying Trial Lengths
• Robust boundary control of an axially moving string by using a PR transfer function
• Iterative learning control and repetitive control in hard disk drive industry—A tutorial
• Formal Proof of a Wave Equation Resolution Scheme: The Method Error

This page was built for publication: Iterative learning control for boundary tracking of uncertain nonlinear wave equations