A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs

Sachin Shivakumar, Amritam Das, Siep Weiland, Matthew Peet

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

2 Citaten (Scopus)

Samenvatting

In this paper, we consider input-output properties of linear systems consisting of PDEs on a finite domain coupled with ODEs through the boundary conditions of the PDE. This work generalizes the sufficiency proof of the KYP Lemma for ODEs to coupled ODE-PDE systems using a recently developed concept of fundamental state and the associated boundary-condition-free representation. The conditions of the generalized KYP are tested using a positive matrix parameterization of bounded operators resulting in a finite-dimensional LMI, the feasibility of which implies prima facie provable passivity or L 2 -gain of the system. No discretization or approximation is involved at any step and there is no conservatism in the theorems. Comparison with other computational methods show that bounds obtained are not conservative in any significant sense and that computational complexity is lower than existing methods involving finite-dimensional projection of PDEs.
Originele taal-2Engels
Titel2019 IEEE 58th Conference on Decision and Control (CDC)
Pagina's280-285
Aantal pagina's6
ISBN van elektronische versie9781728113982
DOI's
StatusGepubliceerd - 12 mrt 2020
Evenement58th IEEE Conference on Decision and Control (CDC 2019) - Nice, Frankrijk
Duur: 11 dec 201913 dec 2019
https://cdc2019.ieeecss.org/

Congres

Congres58th IEEE Conference on Decision and Control (CDC 2019)
Verkorte titelCDC 2019
LandFrankrijk
StadNice
Periode11/12/1913/12/19
Internet adres

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