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- Publisher Website: 10.1016/j.automatica.2018.02.015
- Scopus: eid_2-s2.0-85046336421
- WOS: WOS:000437076500001
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Article: Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach
Title | Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach |
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Authors | |
Keywords | Matrix polynomial Periodic systems Stability Stabilization Time-varying systems |
Issue Date | 2018 |
Publisher | Elsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica |
Citation | Automatica, 2018, v. 94, p. 1-8 How to Cite? |
Abstract | In this paper, new conditions of stability and stabilization are proposed for periodic piecewise linear systems. A continuous Lyapunov function is constructed with a time-dependent homogeneous Lyapunov matrix polynomial. The exponential stability problem is studied first using square matricial representation and sum of squares form of homogeneous matrix polynomial. Constraints on the exponential order of each subsystem used in previous work are relaxed. State-feedback controllers with time-varying polynomial controller gain are designed to stabilize an unstable periodic piecewise system. The proposed stabilizing controller can be solved directly and effectively, which is applicable to more general situations than those previously covered. Numerical examples are given to illustrate the effectiveness of the proposed method. |
Persistent Identifier | http://hdl.handle.net/10722/253454 |
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 | Li, P | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Kwok, KW | - |
dc.contributor.author | Lu, R | - |
dc.date.accessioned | 2018-05-21T01:24:36Z | - |
dc.date.available | 2018-05-21T01:24:36Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Automatica, 2018, v. 94, p. 1-8 | - |
dc.identifier.issn | 0005-1098 | - |
dc.identifier.uri | http://hdl.handle.net/10722/253454 | - |
dc.description.abstract | In this paper, new conditions of stability and stabilization are proposed for periodic piecewise linear systems. A continuous Lyapunov function is constructed with a time-dependent homogeneous Lyapunov matrix polynomial. The exponential stability problem is studied first using square matricial representation and sum of squares form of homogeneous matrix polynomial. Constraints on the exponential order of each subsystem used in previous work are relaxed. State-feedback controllers with time-varying polynomial controller gain are designed to stabilize an unstable periodic piecewise system. The proposed stabilizing controller can be solved directly and effectively, which is applicable to more general situations than those previously covered. Numerical examples are given to illustrate the effectiveness of the proposed method. | - |
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.subject | Matrix polynomial | - |
dc.subject | Periodic systems | - |
dc.subject | Stability | - |
dc.subject | Stabilization | - |
dc.subject | Time-varying systems | - |
dc.title | Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.identifier.doi | 10.1016/j.automatica.2018.02.015 | - |
dc.identifier.scopus | eid_2-s2.0-85046336421 | - |
dc.identifier.hkuros | 284998 | - |
dc.identifier.volume | 94 | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 8 | - |
dc.identifier.isi | WOS:000437076500001 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0005-1098 | - |