Stabilization of a second order ODE-heat system coupling at intermediate point

DOI10.1016/j.automatica.2015.06.039zbMath1331.93180OpenAlexW2174675894MaRDI QIDQ900192

Chao Xu, Zhongcheng Zhou

Publication date: 21 December 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.06.039

zbMATH Keywords

boundary controlstabilizationbacksteppingcascaded second order ODE-heat

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (14)

Stabilization of Coupled ODE‐PDE System with Intermediate Point and Spatially Varying Effects Interconnection ⋮ Adaptive stabilization for an uncertain reaction-diffusion equation with dynamic boundary condition at control end ⋮ Finite-time bounded control for coupled parabolic PDE-ODE systems subject to boundary disturbances ⋮ Boundary control of coupled wave systems with spatially-varying coefficients ⋮ Local exponential stabilization of a coupled ODE-Fisher's PDE system ⋮ Dynamic stabilization for a cascaded beam PDE–ODE system with boundary disturbance ⋮ Exponential stabilization for an Euler-Bernoulli beam PDE-ODE cascade system ⋮ Boundary output feedback stabilization for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance ⋮ Uniform stabilization of 1-d wave equation with anti-damping and delayed control ⋮ Time optimal control of a thermoelastic system ⋮ Boundary stabilization of a class of reaction-advection-diffusion systems via a gradient-based optimization approach ⋮ Adaptive stabilization for a reaction-diffusion equation with uncertain nonlinear actuator dynamics ⋮ Boundary stabilization and state estimation of ODE-transport PDE with in-domain coupling ⋮ Indirect control to stabilise reaction–diffusion equation

Cites Work

• State and output feedback boundary control for a coupled PDE-ODE system
• Control of PDE-ODE cascades with Neumann interconnections
• Compensating the distributed effect of a wave PDE in the actuation or sensing path of MIMO LTI systems
• Stabilization for a coupled PDE-ODE control system
• Delay compensation for nonlinear, adaptive, and PDE systems
• Stabilization of linear heat equation with a heat source at intermediate point by boundary control
• Compensating a String PDE in the Actuation or Sensing Path of an Unstable ODE
• Compensating the Distributed Effect of Diffusion and Counter-Convection in Multi-Input and Multi-Output LTI Systems

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