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- Publisher Website: 10.1109/TCSI.2022.3210934
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Article: LMI-based determination of the peak of the response of structured polytopic linear systems
Title | LMI-based determination of the peak of the response of structured polytopic linear systems |
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Authors | |
Keywords | Dynamical systems Linear systems LMI Lyapunov methods Optimization Output response peak Time-varying systems uncertainty Uncertainty Upper bound |
Issue Date | 1-Jan-2023 |
Publisher | Institute of Electrical and Electronics Engineers |
Citation | IEEE Transactions on Circuits and Systems I: Regular Papers, 2023, v. 70, n. 1, p. 435-446 How to Cite? |
Abstract | This paper addresses the problem of determining the peak of the response to a linear time-invariant (LTI) signal of a linear system whose system matrices are rational functions of an uncertainty vector constrained into a convex bounded polytope. The uncertainty can be time-invariant, bounded-rate time-varying or arbitrarily time-varying. A novel approach based on linear matrix inequalities (LMIs) is proposed for obtaining upper bounds of the sought peak based on the construction of a structured polynomial Lyapunov function in the state and in the uncertainty. A priori and a posteriori conditions for establishing optimality of the obtained upper bounds are also provided. As shown by some numerical examples, which includes the model of an electric circuit, the proposed approach may have significant advantages with respect to the existing methods in terms of conservatism or computational burden. |
Persistent Identifier | http://hdl.handle.net/10722/329109 |
ISSN | 2023 Impact Factor: 5.2 2023 SCImago Journal Rankings: 1.836 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chesi, Graziano | - |
dc.contributor.author | Shen, Tiantian | - |
dc.date.accessioned | 2023-08-05T07:55:22Z | - |
dc.date.available | 2023-08-05T07:55:22Z | - |
dc.date.issued | 2023-01-01 | - |
dc.identifier.citation | IEEE Transactions on Circuits and Systems I: Regular Papers, 2023, v. 70, n. 1, p. 435-446 | - |
dc.identifier.issn | 1549-8328 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329109 | - |
dc.description.abstract | <p>This paper addresses the problem of determining the peak of the response to a linear time-invariant (LTI) signal of a linear system whose system matrices are rational functions of an uncertainty vector constrained into a convex bounded polytope. The uncertainty can be time-invariant, bounded-rate time-varying or arbitrarily time-varying. A novel approach based on linear matrix inequalities (LMIs) is proposed for obtaining upper bounds of the sought peak based on the construction of a structured polynomial Lyapunov function in the state and in the uncertainty. A priori and a posteriori conditions for establishing optimality of the obtained upper bounds are also provided. As shown by some numerical examples, which includes the model of an electric circuit, the proposed approach may have significant advantages with respect to the existing methods in terms of conservatism or computational burden.<br></p> | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers | - |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems I: Regular Papers | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Dynamical systems | - |
dc.subject | Linear systems | - |
dc.subject | LMI | - |
dc.subject | Lyapunov methods | - |
dc.subject | Optimization | - |
dc.subject | Output response | - |
dc.subject | peak | - |
dc.subject | Time-varying systems | - |
dc.subject | uncertainty | - |
dc.subject | Uncertainty | - |
dc.subject | Upper bound | - |
dc.title | LMI-based determination of the peak of the response of structured polytopic linear systems | - |
dc.type | Article | - |
dc.identifier.doi | 10.1109/TCSI.2022.3210934 | - |
dc.identifier.scopus | eid_2-s2.0-85139817040 | - |
dc.identifier.volume | 70 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 435 | - |
dc.identifier.epage | 446 | - |
dc.identifier.eissn | 1558-0806 | - |
dc.identifier.isi | WOS:000865068000001 | - |
dc.identifier.issnl | 1549-8328 | - |