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An algebraic approach to the realization of lossless negative imaginary behaviors

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
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), 1700-1720. (doi:10.1137/100811362).

Record type: Article

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.

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Published date: 2012
Organisations: Southampton Wireless Group

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Local EPrints ID: 341183
URI: http://eprints.soton.ac.uk/id/eprint/341183
PURE UUID: 794ba5d7-6107-42ae-ba0d-8f9640179411

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Date deposited: 17 Jul 2012 10:54
Last modified: 14 Mar 2024 11:36

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Contributors

Author: Shodhan Rao
Author: Paolo Rapisarda

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