Output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients
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Publication:5197932
DOI10.1080/00207179.2018.1436770zbMath1423.93396arXiv1711.00700OpenAlexW2963192578MaRDI QIDQ5197932
Richard Kern, Nicole Gehring, Joachim Deutscher
Publication date: 2 October 2019
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.00700
boundary controlbacksteppingobservershyperbolic systemsdistributed-parameter systemscoupled PDE-ODE systems
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stochastic stability in control theory (93E15) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Boundary observer design for hyperbolic PDE-ODE cascade systems
- State and output feedback boundary control for a coupled PDE-ODE system
- Disturbance rejection in general heterodirectional 1-D linear hyperbolic systems using collocated sensing and control
- Stabilization for a coupled PDE-ODE control system
- Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems
- Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
- LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
- Compensating actuator and sensor dynamics governed by diffusion PDEs
- Delay compensation for nonlinear, adaptive, and PDE systems
- Fast projection methods for minimal design problems in linear system theory
- Stability and stabilization of infinite dimensional systems with applications
- Output regulation for general linear heterodirectional hyperbolic systems with spatially-varying coefficients
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- Flatness of Heavy Chain Systems
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
- Backstepping Design of Robust Output Feedback Regulators for Boundary Controlled Parabolic PDEs
- Boundary Control of PDEs
- On the stabilization of a cable with a tip mass
- Backstepping Design of Robust State Feedback Regulators for Linear $2 \times 2$ Hyperbolic Systems
- Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems
- Boundary stabilization of a coupled wave-ODE system with internal anti-damping
- Compensating a String PDE in the Actuation or Sensing Path of an Unstable ODE
- Optimal LQ-Feedback Regulation of a Nonisothermal Plug Flow Reactor Model by Spectral Factorization