Output Feedback Exponential Stabilization for One-Dimensional Unstable Wave Equations with Boundary Control Matched Disturbance

DOI10.1137/17M1133531zbMath1408.37131arXiv1706.02161WikidataQ115525612 ScholiaQ115525612MaRDI QIDQ4554403

George Weiss, Hua-Cheng Zhou

Publication date: 14 November 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02161

zbMATH Keywords

disturbance rejectionexponential stabilizationoutput feedback controllerunstable wave equation

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Design techniques (robust design, computer-aided design, etc.) (93B51) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control with stochastic PDE constraints and uncertain controls
• Output-feedback adaptive control of a wave PDE with boundary anti-damping
• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties
• Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control
• A backstepping approach to the output regulation of boundary controlled parabolic PDEs
• Internal model based tracking and disturbance rejection for stable well-posed systems
• Disturbance estimator based output feedback exponential stabilization for Euler-Bernoulli beam equation with boundary control
• New unknown input observer and output feedback stabilization for uncertain heat equation
• Transfer functions of regular linear systems. III: Inversions and duality
• Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance
• The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control
• Output-feedback stabilization of an unstable wave equation
• Natural second-order observers for second-order distributed parameter systems
• Output regulation for linear distributed parameter systems
• Vibration control of an Euler–Bernoulli beam under unknown spatiotemporally varying disturbance
• Backstepping Design of Robust Output Feedback Regulators for Boundary Controlled Parabolic PDEs
• Output Feedback Stabilization for One-Dimensional Wave Equation Subject to Boundary Disturbance
• The State Feedback Regulator Problem for Regular Linear Systems
• Tracking Control of the Uncertain Heat and Wave Equation via Power-Fractional and Sliding-Mode Techniques
• Dynamic stabilization of regular linear systems
• Low-Gain Control of Uncertain Regular Linear Systems
• Admissibility of Unbounded Control Operators
• A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
• Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
• The Internal Model Principle for Systems with Unbounded Control and Observation
• The Stabilization of a One-Dimensional Wave Equation by Boundary Feedback With Noncollocated Observation
• Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only
• Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input
• Parameter Estimation and Non-Collocated Adaptive Stabilization for a Wave Equation Subject to General Boundary Harmonic Disturbance
• Exact controllability of a class of nonlinear distributed parameter systems using back-and-forth iterations

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