Numerical methods for approximating functional gains in LQR boundary control problems

DOI10.1016/S0895-7177(00)00231-4zbMath0967.93052OpenAlexW2073823384MaRDI QIDQ5931751

John A. Burns, K. P. Hulsing

Publication date: 25 April 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00231-4

zbMATH Keywords

numerical methodsfinite element methodspartial differential equationChandrasekhar equationsfunctional gainoptimal control problemRiccati equation

Mathematics Subject Classification ID

Related Items (7)

Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction ⋮ A locking-free scheme for the LQR control of a Timoshenko beam ⋮ A POD projection method for large-scale algebraic Riccati equations ⋮ Boundary control of the beam equation by linear quadratic regulation ⋮ Balanced POD for linear PDE robust control computations ⋮ Approximation of low rank solutions for linear quadratic control of partial differential equations ⋮ Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control

Cites Work

• A Numerical Algorithm for Optimal Feedback Gains in High Dimensional Linear Quadratic Regulator Problems
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• A Reduced Basis Approach to the Design of Low-Order Feedback Controllers for Nonlinear Continuous Systems
• Chandrasekhar Equations for Infinite Dimensional Systems
• Representation of feedback operators for parabolic control problems
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