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Analysis of structural perturbations in systems via cost decomposition methodsIt has long been common practice to analyze linear dynamic systems by decomposing the total response in terms of individual contributions which are easier to analyze. Examples of this philosophy include the expansion of transfer functions using: (1) the superposition principle, (2) residue theory and partial fraction expansions, (3) Markov parameters, Hankel matrices, and (4) regular and singular perturbations. This paper summarizes a new and different kind of expansion designed to decompose the norm of the response vector rather than the response vector itself. This is referred to as "cost-decomposition' of the system. The notable advantages of this type of decomposition are: (a) easy application to multi-input, multi-output systems, (b) natural compatibility with Linear Quadratic Gaussian Theory, (c) applicability to the analysis of more general types of structural perturbations involving inputs, outputs, states, parameters. Property (c) makes the method suitable for problems in model reduction, measurement/actuator selections, and sensitivity analysis.
Document ID
19830027818
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Skelton, R. E.
(Purdue Univ. West Lafayette, IN, United States)
Date Acquired
August 11, 2013
Publication Date
July 1, 1983
Publication Information
Publication: JPL Proc. of the Workshop on Appl. of Distributed System Theory to the Control of Large Space Struct.
Subject Category
Spacecraft Design, Testing And Performance
Accession Number
83N36089
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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