Output feedback stabilization for 1-D wave equation with variable coefficients and non-collocated observation

DOI10.1016/j.sysconle.2020.104780zbMath1455.93154OpenAlexW3085345923MaRDI QIDQ826772

Hongyinping Feng, Xiao-Hui Wu, Bao-Zhu Guo

Publication date: 6 January 2021

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2020.104780

zbMATH Keywords

observerwave equationstabilizationvariable coefficient

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Wave equation (35L05) Exponential stability (93D23)

Related Items (1)

Robust output regulation of four strings based on coupled exosystem observers

Cites Work

• Unnamed Item
• Delay-robust stabilization of a hyperbolic PDE-ODE system
• The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control
• Output-feedback stabilization of an unstable wave equation
• On the \(C_{0}\)-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam
• Backstepping observers for a class of parabolic PDEs
• Stabilization of One-dimensional Wave Equation with Van Der Pol Type Boundary Condition
• Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
• Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time
• Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
• Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation
• Stabilization of wave systems with input delay in the boundary control
• Boundary Control of PDEs
• Control of Wave Processes with Distributed Controls Supported on a Subregion
• One-Parameter Semigroups for Linear Evolution Equations
• Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients
• A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
• Input/output stability of a damped string equation coupled with ordinary differential system
• Two-Sided Boundary Stabilization of Heterodirectional Linear Coupled Hyperbolic PDEs
• Further theoretical results on direct strain feedback control of flexible robot arms
• Stability Analysis for a Class of Linear $2\times 2$ Hyperbolic PDEs Using a Backstepping Transform
• Robustness to In-Domain Viscous Damping of a Collocated Boundary Adaptive Feedback Law for an Antidamped Boundary Wave PDE
• Boundary Stabilization of Numerical Approximations of the 1-D Variable Coefficients Wave Equation: A Numerical Viscosity Approach
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
• Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only

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