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Author Johnson, O. G. ♦ Bosarge, W. E.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Regular problem ♦ Numerical analysis ♦ Splines ♦ Control theory
Abstract In this paper the Ritz-Trefftz algorithm is applied to the computer solution of the state regulator problem. The algorithm represents a modification of the Ritz direct method and is designed to improve the speed of solution and the storage requirements to the point where real-time implementation becomes feasible. The modification is shown to be more stable computationally than the tradiational Ritz approach. The first concern of the paper is to describe the algorithm and establish its properties as a valid and useful numerical technique. In particular such useful properties as definiteness and reasonableness of condition are established for the method. The second part of the paper is devoted to a comparison of the new techniques with the standard procedure of numerically integrating a matrix Riccati equation to determine a feedback matrix. The new technique is shown to be significantly faster for comparable accuracy.
Description Affiliation: International Mathematical-Statistical Libraries, Houston, TX (Johnson, O. G.) || IBM Scientific Center, Houston, TX (Bosarge, W. E.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 14
Issue Number 6
Page Count 5
Starting Page 402
Ending Page 406

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Source: ACM Digital Library