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Conference Paper: On the peak of the impulse response of structured polytopic linear systems
Title | On the peak of the impulse response of structured polytopic linear systems |
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Authors | |
Keywords | Linear systems Sufficient conditions Uncertainty Upper bond Level set |
Issue Date | 2022 |
Publisher | Curran Associates. |
Citation | 2022 13th Asian Control Conference (ASCC), Jeju, Korea, 4-7 May 2022 How to Cite? |
Abstract | This paper addresses the problem of determining the peak of the response of a linear system whose system matrices are polynomial functions of a time-invariant uncertainty vector constrained into a polytope. A novel approach 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. In particular, a sufficient condition is provided for establishing whether a chosen quantity is an upper bound of the sought peak in terms of feasibility of a system of linear matrix inequalities (LMIs). The proposed approach is illustrated by some numerical examples. |
Persistent Identifier | http://hdl.handle.net/10722/314303 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.contributor.author | Shen, T | - |
dc.date.accessioned | 2022-07-18T06:15:33Z | - |
dc.date.available | 2022-07-18T06:15:33Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | 2022 13th Asian Control Conference (ASCC), Jeju, Korea, 4-7 May 2022 | - |
dc.identifier.uri | http://hdl.handle.net/10722/314303 | - |
dc.description.abstract | This paper addresses the problem of determining the peak of the response of a linear system whose system matrices are polynomial functions of a time-invariant uncertainty vector constrained into a polytope. A novel approach 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. In particular, a sufficient condition is provided for establishing whether a chosen quantity is an upper bound of the sought peak in terms of feasibility of a system of linear matrix inequalities (LMIs). The proposed approach is illustrated by some numerical examples. | - |
dc.language | eng | - |
dc.publisher | Curran Associates. | - |
dc.subject | Linear systems | - |
dc.subject | Sufficient conditions | - |
dc.subject | Uncertainty | - |
dc.subject | Upper bond | - |
dc.subject | Level set | - |
dc.title | On the peak of the impulse response of structured polytopic linear systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.identifier.doi | 10.23919/ASCC56756.2022.9828329 | - |
dc.identifier.hkuros | 334025 | - |
dc.publisher.place | United States | - |