Finite-dimensional observer-based control of linear distributed parameter systems using cascaded output observers

DOI10.1080/00207179.2010.541942zbMath1222.93037OpenAlexW2058666951MaRDI QIDQ3015119

Christian Harkort, Joachim Deutscher

Publication date: 8 July 2011

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2010.541942

zbMATH Keywords

spectrum analysiseigenvalue enclosurefinite-dimensional controlRiesz-spectral systemearly-lumping approachspillover reduction

Mathematics Subject Classification ID

Controllability (93B05) Design techniques (robust design, computer-aided design, etc.) (93B51) Eigenvalue problems (93B60) Observability (93B07) Control/observation systems in abstract spaces (93C25)

Related Items (15)

Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives ⋮ Delayed finite-dimensional observer-based control of 1D parabolic PDEs via reduced-order LMIs ⋮ Nonlinear boundary output feedback stabilization of reaction-diffusion equations ⋮ A tracking problem for the state of charge in an electrochemical Li-ion battery model ⋮ Finite-dimensional output stabilization for a class of linear distributed parameter systems -- a small-gain approach ⋮ Output feedback stabilization of reaction-diffusion PDEs with a non-collocated boundary condition ⋮ Boundary output feedback stabilization of state delayed reaction-diffusion PDEs ⋮ Boundary output feedback stabilisation of a class of reaction–diffusion PDEs with delayed boundary measurement ⋮ Constructive method for finite-dimensional observer-based control of 1-D parabolic PDEs ⋮ Linear matrix inequalities (LMIs) observer and controller design synthesis for parabolic PDE ⋮ Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with either a Dirichlet or Neumann boundary measurement ⋮ Sampled-data finite-dimensional boundary control of 1D parabolic PDEs under point measurement via a novel ISS Halanay's inequality ⋮ Finite-dimensional control of the heat equation: Dirichlet actuation and point measurement ⋮ Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement ⋮ Output feedback stabilization of an ODE-reaction-diffusion PDE cascade with a long interconnection delay

Cites Work

• Compensators for infinite dimensional linear systems
• Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters
• On the stabilizability problem in Banach space
• Active control of flexible systems
• Stable feedback control of linear distributed parameter systems: Time and frequency domain conditions
• On the problem of observation spillover in self-adjoint distributed- parameter systems
• A parametric approach to finite-dimensional control of linear distributed-parameter systems

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