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- Publisher Website: 10.1016/j.automatica.2022.110305
- WOS: WOS:000797650300011
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Article: A Polynomial Blossoming Approach to Stabilization of Periodic Time-varying Systems
Title | A Polynomial Blossoming Approach to Stabilization of Periodic Time-varying Systems |
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Authors | |
Issue Date | 2022 |
Publisher | Elsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica |
Citation | Automatica, 2022, v. 141, p. art. no. 110305 How to Cite? |
Abstract | This paper proposes a novel polynomial blossoming approach to designing stabilizing controller for a class of periodic time-varying systems. Utilizing multi-convexity of a non-homogeneous symmetric matrix polynomial, the approach can provide a series of convex optimization conditions to guarantee the negativity/positivity of matrix polynomial. Special cases of the proposed approach are also discussed, giving the conclusion that our approach generalizes two existing matrix polynomial approaches. For periodic systems formulated with -bounded time-varying coefficients, the designed stabilizing controller not only involves user-selectable varying gains over time intervals that are possibly non-identical to the system fundamental period, but can also guarantee the exponential stability of the closed-loop system. The effectiveness of our approach is validated and illustrated through two application-oriented simulation examples. |
Persistent Identifier | http://hdl.handle.net/10722/312216 |
ISSN | 2023 Impact Factor: 4.8 2023 SCImago Journal Rankings: 3.502 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xie, X | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Fan, C | - |
dc.contributor.author | Wang, X | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2022-04-25T01:36:45Z | - |
dc.date.available | 2022-04-25T01:36:45Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Automatica, 2022, v. 141, p. art. no. 110305 | - |
dc.identifier.issn | 0005-1098 | - |
dc.identifier.uri | http://hdl.handle.net/10722/312216 | - |
dc.description.abstract | This paper proposes a novel polynomial blossoming approach to designing stabilizing controller for a class of periodic time-varying systems. Utilizing multi-convexity of a non-homogeneous symmetric matrix polynomial, the approach can provide a series of convex optimization conditions to guarantee the negativity/positivity of matrix polynomial. Special cases of the proposed approach are also discussed, giving the conclusion that our approach generalizes two existing matrix polynomial approaches. For periodic systems formulated with -bounded time-varying coefficients, the designed stabilizing controller not only involves user-selectable varying gains over time intervals that are possibly non-identical to the system fundamental period, but can also guarantee the exponential stability of the closed-loop system. The effectiveness of our approach is validated and illustrated through two application-oriented simulation examples. | - |
dc.language | eng | - |
dc.publisher | Elsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica | - |
dc.relation.ispartof | Automatica | - |
dc.title | A Polynomial Blossoming Approach to Stabilization of Periodic Time-varying Systems | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Wang, X: wangxmei@connect.hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.automatica.2022.110305 | - |
dc.identifier.hkuros | 332610 | - |
dc.identifier.volume | 141 | - |
dc.identifier.spage | art. no. 110305 | - |
dc.identifier.epage | art. no. 110305 | - |
dc.identifier.isi | WOS:000797650300011 | - |
dc.publisher.place | United Kingdom | - |