Optimal regulation of systems described by a countably infinite number of objects

Authors:
S. M. Melzer;B. C. Kuo
Affiliations:
Litton Ship Systems, AMTD, Litton Systems, Inc., Culver City, California USA;Department of Electrical Engineering, University of Illinois, Urbana, Illinois USA
Venue:
Automatica (Journal of IFAC)
Year:
1971

Citing 0
Cited 4

System theoretic properties of a class of spatially invariant systems

Automatica (Journal of IFAC)
A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

Automatica (Journal of IFAC)
Brief paper: Infinite chains of kinematic points

Automatica (Journal of IFAC)
Convex synthesis of localized controllers for spatially invariant systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

A general theory for the optimal regulation of linear systems, comprised of infinite identical objects, is developed. The bilateral z transform generating function is used to eliminate the object indices, which leads to a Riccati equation in the z domain. The theory is applied to the string of vehicles problem where the number of vehicles is infinite. The proper structure for a typical vehicle controller and numerical results for the amount of feedback a typical vehicle requires from other vehicles are obtained.