Compensating PDE actuator and sensor dynamics using Sylvester equation

DOI10.1016/j.automatica.2020.109362zbMath1461.93386arXiv2010.00615OpenAlexW3107543818MaRDI QIDQ2662326

Vivek Natarajan

Publication date: 12 April 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00615

zbMATH Keywords

robustnessestimationstabilizationSylvester equationregular linear systemcascade interconnectionPDE actuator and sensor

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Stability analysis of reaction-diffusion PDEs coupled at the boundaries with an ODE ⋮ Output regulation for a first-order hyperbolic PIDE with state and sensor delays ⋮ Least-squares solutions of generalized Sylvester-type quaternion matrix equations ⋮ ISS-based robustness to various neglected damping mechanisms for the 1-D wave PDE ⋮ Dynamics compensation approach to stabilization and observation for abstract linear systems ⋮ Output feedback stabilization of an ODE-reaction-diffusion PDE cascade with a long interconnection delay

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