An algebraic approach to the realization of lossless negative imaginary behaviors
An algebraic approach to the realization of lossless negative imaginary behaviors
We consider a behavior with an equal number of inputs and outputs for which there exists a quadratic differential form which is positive for nonzero trajectories of the behavior and whose derivative is equal to the scalar product of the input vector and the derivative of the output vector. Such systems occur, for example, when considering conservative mechanical systems. We give a method of computation of a state space realization from an observable image representation of such a behavior. We apply the insights derived from this realization procedure to the synthesis of lossless mechanical systems.
1700-1720
Rao, Shodhan
0823e42a-7524-4702-89f3-8347900d6a8d
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
2012
Rao, Shodhan
0823e42a-7524-4702-89f3-8347900d6a8d
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rao, Shodhan and Rapisarda, Paolo
(2012)
An algebraic approach to the realization of lossless negative imaginary behaviors.
SIAM Journal on Control and Optimization, 50 (3), .
(doi:10.1137/100811362).
Abstract
We consider a behavior with an equal number of inputs and outputs for which there exists a quadratic differential form which is positive for nonzero trajectories of the behavior and whose derivative is equal to the scalar product of the input vector and the derivative of the output vector. Such systems occur, for example, when considering conservative mechanical systems. We give a method of computation of a state space realization from an observable image representation of such a behavior. We apply the insights derived from this realization procedure to the synthesis of lossless mechanical systems.
Text
LosslessNegativeImagSIAM2012.pdf
- Version of Record
More information
Published date: 2012
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 341183
URI: http://eprints.soton.ac.uk/id/eprint/341183
PURE UUID: 794ba5d7-6107-42ae-ba0d-8f9640179411
Catalogue record
Date deposited: 17 Jul 2012 10:54
Last modified: 14 Mar 2024 11:36
Export record
Altmetrics
Contributors
Author:
Shodhan Rao
Author:
Paolo Rapisarda
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics