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- Publisher Website: 10.1016/j.ins.2021.03.031
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Article: Observer-based output reachable set synthesis for periodic piecewise time-varying systems
Title | Observer-based output reachable set synthesis for periodic piecewise time-varying systems |
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Authors | |
Keywords | Observer Output feedback Periodic systems Reachable set Time-varying systems |
Issue Date | 2021 |
Publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins |
Citation | Information Sciences, 2021, v. 571, p. 246-261 How to Cite? |
Abstract | In this paper, the output reachable set synthesis problem for periodic piecewise time-varying systems has been addressed for the first time. Generalized periodic time-varying conditions of the closed-loop system to guarantee the system output bounded by a collection of finite ellipsoids are developed. The decoupling of time-varying observer and controller gains is achieved by a technical lemma. Moreover, by using time-varying matrix functions in multiple linear-interpolative forms and the relaxed quadratic matrix polynomial definiteness results, sufficient condition is developed to determine the periodic time-varying observer and controller with reduced conservatism. A tractable iterative algorithm is proposed to obtain the periodic time-varying observer and controller gains. A numerical example is presented to illustrate the validity of proposed methods. |
Persistent Identifier | http://hdl.handle.net/10722/301665 |
ISSN | 2022 Impact Factor: 8.1 2023 SCImago Journal Rankings: 2.238 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Fan, C | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Xie, X | - |
dc.contributor.author | SONG, X | - |
dc.date.accessioned | 2021-08-09T03:42:25Z | - |
dc.date.available | 2021-08-09T03:42:25Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Information Sciences, 2021, v. 571, p. 246-261 | - |
dc.identifier.issn | 0020-0255 | - |
dc.identifier.uri | http://hdl.handle.net/10722/301665 | - |
dc.description.abstract | In this paper, the output reachable set synthesis problem for periodic piecewise time-varying systems has been addressed for the first time. Generalized periodic time-varying conditions of the closed-loop system to guarantee the system output bounded by a collection of finite ellipsoids are developed. The decoupling of time-varying observer and controller gains is achieved by a technical lemma. Moreover, by using time-varying matrix functions in multiple linear-interpolative forms and the relaxed quadratic matrix polynomial definiteness results, sufficient condition is developed to determine the periodic time-varying observer and controller with reduced conservatism. A tractable iterative algorithm is proposed to obtain the periodic time-varying observer and controller gains. A numerical example is presented to illustrate the validity of proposed methods. | - |
dc.language | eng | - |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins | - |
dc.relation.ispartof | Information Sciences | - |
dc.subject | Observer | - |
dc.subject | Output feedback | - |
dc.subject | Periodic systems | - |
dc.subject | Reachable set | - |
dc.subject | Time-varying systems | - |
dc.title | Observer-based output reachable set synthesis for periodic piecewise time-varying systems | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Xie, X: xcxie@connect.hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.ins.2021.03.031 | - |
dc.identifier.scopus | eid_2-s2.0-85107137035 | - |
dc.identifier.hkuros | 323867 | - |
dc.identifier.volume | 571 | - |
dc.identifier.spage | 246 | - |
dc.identifier.epage | 261 | - |
dc.identifier.isi | WOS:000684796000014 | - |
dc.publisher.place | United States | - |