File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1049/iet-cta.2019.0039
- Scopus: eid_2-s2.0-85072200779
- WOS: WOS:000484962100008
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Non-fragile control of periodic piecewise linear time-varying systems with time delay
Title | Non-fragile control of periodic piecewise linear time-varying systems with time delay |
---|---|
Authors | |
Keywords | time-varying systems closed loop systems control system synthesis uncertain systems linear matrix inequalities |
Issue Date | 2019 |
Publisher | The Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA |
Citation | IET Control Theory and Applications, 2019, v. 13 n. 14, p. 2217-2227 How to Cite? |
Abstract | In this study, the stability and stabilisation issues of a class of periodic piecewise linear time-varying systems with time delay are studied. Based on a lemma with respects to the negative definite matrix polynomial, a sufficient delay-dependent exponential stability condition is obtained via constructing a Lyapunov–Krasovskii functional with periodic matrix functions. Then, for two types of norm-bounded uncertainties of time-varying controller gains, the non-fragile stabilising controllers under the multiplicative and additive gain perturbations are designed to stabilise the closed-loop system. The obtained controller gains could be solved with linear matrix inequalities directly instead of using the iterative algorithm. That is valued in engineering applications. Numerical examples are presented to demonstrate the effectiveness of the proposed methods. |
Persistent Identifier | http://hdl.handle.net/10722/272216 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 0.957 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Liu, Y | - |
dc.contributor.author | Li, P | - |
dc.contributor.author | XIE, X | - |
dc.contributor.author | Zhang, B | - |
dc.date.accessioned | 2019-07-20T10:37:57Z | - |
dc.date.available | 2019-07-20T10:37:57Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | IET Control Theory and Applications, 2019, v. 13 n. 14, p. 2217-2227 | - |
dc.identifier.issn | 1751-8644 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272216 | - |
dc.description.abstract | In this study, the stability and stabilisation issues of a class of periodic piecewise linear time-varying systems with time delay are studied. Based on a lemma with respects to the negative definite matrix polynomial, a sufficient delay-dependent exponential stability condition is obtained via constructing a Lyapunov–Krasovskii functional with periodic matrix functions. Then, for two types of norm-bounded uncertainties of time-varying controller gains, the non-fragile stabilising controllers under the multiplicative and additive gain perturbations are designed to stabilise the closed-loop system. The obtained controller gains could be solved with linear matrix inequalities directly instead of using the iterative algorithm. That is valued in engineering applications. Numerical examples are presented to demonstrate the effectiveness of the proposed methods. | - |
dc.language | eng | - |
dc.publisher | The Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA | - |
dc.relation.ispartof | IET Control Theory and Applications | - |
dc.rights | [Pre-print to be removed on publication] “This paper is a postprint of a paper submitted to and accepted for publication in [journal] and is subject to IET copyright. The copy of record is available at IET Digital Library [link using doi]” | - |
dc.subject | time-varying systems | - |
dc.subject | closed loop systems | - |
dc.subject | control system synthesis | - |
dc.subject | uncertain systems | - |
dc.subject | linear matrix inequalities | - |
dc.title | Non-fragile control of periodic piecewise linear time-varying systems with time delay | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1049/iet-cta.2019.0039 | - |
dc.identifier.scopus | eid_2-s2.0-85072200779 | - |
dc.identifier.hkuros | 298546 | - |
dc.identifier.volume | 13 | - |
dc.identifier.issue | 14 | - |
dc.identifier.spage | 2217 | - |
dc.identifier.epage | 2227 | - |
dc.identifier.isi | WOS:000484962100008 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1751-8644 | - |