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Rational orthonormal bases, state transformations, and dissipativity

Rational orthonormal bases, state transformations, and dissipativity
Rational orthonormal bases, state transformations, and dissipativity
We establish formulas relating the state of a continuous-time system with that of the transformed one in a Takenaka-Malmquist-Kautz orthogonal basis. We use such relation to give a simple proof that if the original system is dissipative, then the transformed one is also dissipative with the same storage function. We apply our results to continuous-time subspace system identification.
System identification, orthonormal bases, dissipativity
2019 - 2026
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Ohta, Yoshito and Rapisarda, Paolo (2021) Rational orthonormal bases, state transformations, and dissipativity. IEEE Transactions Automatic Control, 67 (4), 2019 - 2026. (doi:10.1109/TAC.2021.3070244).

Record type: Article

Abstract

We establish formulas relating the state of a continuous-time system with that of the transformed one in a Takenaka-Malmquist-Kautz orthogonal basis. We use such relation to give a simple proof that if the original system is dissipative, then the transformed one is also dissipative with the same storage function. We apply our results to continuous-time subspace system identification.

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Accepted/In Press date: 22 March 2021
e-pub ahead of print date: 31 March 2021
Keywords: System identification, orthonormal bases, dissipativity
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Identifiers

Local EPrints ID: 447979
URI: http://eprints.soton.ac.uk/id/eprint/447979
DOI: doi:10.1109/TAC.2021.3070244
PURE UUID: 35520bae-aa8d-4519-b4d8-e3d31b264c58

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Date deposited: 29 Mar 2021 16:36
Last modified: 17 Mar 2024 06:27

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Contributors

Author: Yoshito Ohta
Author: Paolo Rapisarda

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