Title :
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
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;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194687
