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- Publisher Website: 10.1109/TAC.2022.3146725
- Scopus: eid_2-s2.0-85124100349
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Article: Stability and Stabilization of Almost Periodic Piecewise Linear Systems With Dwell Time Uncertainty
Title | Stability and Stabilization of Almost Periodic Piecewise Linear Systems With Dwell Time Uncertainty |
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Authors | |
Keywords | Control systems dwell time uncertainty Exponential stability Linear systems Lyapunov methods Numerical stability periodic systems periodic time-scheduled controller Switches Symmetric matrices Uncertainty |
Issue Date | 1-Feb-2023 |
Publisher | Institute of Electrical and Electronics Engineers |
Citation | IEEE Transactions on Automatic Control, 2023, v. 68, n. 2, p. 1130-1137 How to Cite? |
Abstract | This article is dedicated to the stability and stabilization of almost periodic piecewise linear systems (APPLSs) with the uncertain dwell time of subsystems. Taking into account the uncertainty in dwell time for the first time, a novel mixed-mode time-varying Lyapunov function is constructed. A sufficient condition is proposed to guarantee the exponential stability of the system, where the switching instants over each period are unknown and inaccessible except their bounds. Moreover, a periodic time-scheduled state-feedback control approach is developed to stabilize the APPLS affected by dwell time uncertainty and possibly unstabilizable subsystem dynamics. A stabilizing controller design algorithm is provided to compute the time-varying gains. The effectiveness of the proposed approach is illustrated via a numerical example involving comparative case studies. |
Persistent Identifier | http://hdl.handle.net/10722/331967 |
ISSN | 2021 Impact Factor: 6.549 2020 SCImago Journal Rankings: 3.436 |
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 | Li, P | - |
dc.date.accessioned | 2023-09-28T04:59:56Z | - |
dc.date.available | 2023-09-28T04:59:56Z | - |
dc.date.issued | 2023-02-01 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2023, v. 68, n. 2, p. 1130-1137 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/331967 | - |
dc.description.abstract | This article is dedicated to the stability and stabilization of almost periodic piecewise linear systems (APPLSs) with the uncertain dwell time of subsystems. Taking into account the uncertainty in dwell time for the first time, a novel mixed-mode time-varying Lyapunov function is constructed. A sufficient condition is proposed to guarantee the exponential stability of the system, where the switching instants over each period are unknown and inaccessible except their bounds. Moreover, a periodic time-scheduled state-feedback control approach is developed to stabilize the APPLS affected by dwell time uncertainty and possibly unstabilizable subsystem dynamics. A stabilizing controller design algorithm is provided to compute the time-varying gains. The effectiveness of the proposed approach is illustrated via a numerical example involving comparative case studies. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.subject | Control systems | - |
dc.subject | dwell time uncertainty | - |
dc.subject | Exponential stability | - |
dc.subject | Linear systems | - |
dc.subject | Lyapunov methods | - |
dc.subject | Numerical stability | - |
dc.subject | periodic systems | - |
dc.subject | periodic time-scheduled controller | - |
dc.subject | Switches | - |
dc.subject | Symmetric matrices | - |
dc.subject | Uncertainty | - |
dc.title | Stability and Stabilization of Almost Periodic Piecewise Linear Systems With Dwell Time Uncertainty | - |
dc.type | Article | - |
dc.identifier.doi | 10.1109/TAC.2022.3146725 | - |
dc.identifier.scopus | eid_2-s2.0-85124100349 | - |
dc.identifier.volume | 68 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 1130 | - |
dc.identifier.epage | 1137 | - |
dc.identifier.eissn | 1558-2523 | - |
dc.identifier.issnl | 0018-9286 | - |