Linear quadratic regulator problem for infinite dimensional linear systems with delays in control

Author

Ito, K. ; Tran, H.T.

Author_Institution

Div. of Appl. Math., Brown Univ., Providence, RI, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

2012

Abstract

The authors consider the linear quadratic optimal control problem for linear control systems with delays in control defined on a Hilbert space H₀, and they develop a numerical approximation method for approximate Riccati operators. They show how to reformulate the problem as a boundary control problem, using the product space H ₀×L₂ as the state space. They then present an approximation framework for computing the Riccati operators (in finite-dimensional spaces) that can be guaranteed to converge to the Riccati operators of the infinite-dimensional systems with unbounded input

Keywords

approximation theory; boundary-value problems; delays; distributed parameter systems; multidimensional systems; optimal control; H₀; Hilbert space; approximate Riccati operators; convergence; delays; finite-dimensional spaces; infinite-dimensional systems; linear quadratic optimal control; linear systems; numerical approximation method; state space; unbounded input; Control systems; Delay lines; Delay systems; Hilbert space; Integral equations; Linear systems; Optimal control; Regulators; Riccati equations; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194687

Filename

194687