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TECHNICAL BRIEFS

Optimal Pole Assignment for Discrete Linear Regulator With Deterministic Disturbances

[+] Author and Article Information
Tsu-Tian Lee, Shiow-Harn Lee

Institute of Control Engineering, National Chiao Tung University, Hsinchu, Taiwan

J. Dyn. Sys., Meas., Control 110(4), 433-436 (Dec 01, 1988) (4 pages) doi:10.1115/1.3152708 History: Received October 08, 1987; Online July 21, 2009

Abstract

This paper presents the solution of the linear discrete optimal control to achieve poles assigned in a circular region and, meanwhile, accommodate deterministic disturbances. It is shown that by suitable manipulations, the problem can be reduced to a standard discrete quadratic regulator problem that simultaneously ensures: 1) closed-loop-poles all inside a circle centered at (β, 0) with a radius α, where | β| + α ≤ 1, 2) minimizes the cost functional, and 3) accommodates external input disturbance.

Copyright © 1988 by ASME
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