Synthesis of finite-dimensional Riccati-based feedback controls for problems arising in structural acoustics

DOI10.1016/S0016-0032(97)00063-XzbMath0931.49021MaRDI QIDQ1307588

Erik Hendrickson

Publication date: 23 February 2000

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

optimal controlnumerical algorithmfeedback controlsacoustic structure interactionmatrix algebraic Riccati equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Feedback control (93B52) Linear-quadratic optimal control problems (49N10)

Related Items (3)

SOLUTION OF RICCATI DIFFERENTIAL EQUATION WITH GREEN’S FUNCTION AND PADÈ APPROXIMATION TECHNIQUE ⋮ An approximate analytic solution of the nonlinear Riccati differential equation ⋮ Application of a parametrization method to problem of optimal control

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A direct study of the Riccati equation arising in hyperbolic boundary control problems
• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system
• Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. II: The general case
• Numerical approximations and regularizations of Riccati equations arising in hyperbolic dynamics with unbounded control operators
• Caractérisation de quelques espaces d'interpolation
• Differential Riccati equation for the active control of a problem in structural acoustics
• Synthesis of Optimal Control for an Infinite Dimensional Periodic Problem
• Approximation Theory for Linear-Quadratic-Gaussian Control of Flexible Structures
• The modeling of piezoceramic patch interactions with shells, plates, and beams
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