A Non-Normality Measure of the Condition Number for Monitoring and Control-Reference-Cited by-同舟云学术

A Non-Normality Measure of the Condition Number for Monitoring and Control

Published:1997-06-01 Issue:2 Volume:119 Page:217-222
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Huh Kunsoo¹,Stein Jeffrey L.²

Affiliation:

1. Department of Precision Mechanical Engineering, Hanyang University, Seoul, Korea

2. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2125

Abstract

Because the behavior of the condition number can have highly steep and multi-modal structure, optimal control and monitoring problems based on the condition number cannot be easily solved. In this paper, a minimization problem is formulated for κ2(P), the condition number of an eigensystem (P) of a matrix in terms of the L2 norm. A new non-normality measure is shown to exist that guarantees small values for the condition number. In addition, this measure can be minimized by proper selection of controller and observer gains. Application to the design of well-conditioned controller and observer-based monitors is illustrated.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/119/2/217/5779208/217_1.pdf

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