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Article: Control with communications constraints: measuring the instability in parametric linear systems
Title | Control with communications constraints: measuring the instability in parametric linear systems |
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Authors | |
Keywords | Communications constraints instability linear matrix inequalities (LMIs) parametric systems |
Issue Date | 2017 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeecss.org/publications/transactions-control-network-systems-1 |
Citation | IEEE Transactions on Control of Network Systems, 2017, v. 4 n. 2, p. 312-322 How to Cite? |
Abstract | This paper investigates the instability measure of linear systems defined as the sum of the unstable eigenvalues in the continuous-time case and the product of the unstable eigenvalues in the discrete-time case. The problem consists of determining the largest instability measure in systems depending polynomially on parameters constrained in a semialgebraic set. It is shown that upper bounds of the sought measure can be established via linear matrix inequality feasibility tests. Moreover, a priori and a posteriori conditions for establishing nonconservatism are proposed. Finally, two special cases of the proposed methodology are investigated-the first one concerns systems with a single parameter, and the second one concerns the determination of the largest spectral abscissa and radius. Three applications in control with communications constraints are discussed. |
Persistent Identifier | http://hdl.handle.net/10722/242204 |
ISSN | 2021 Impact Factor: 4.347 2020 SCImago Journal Rankings: 1.956 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2017-07-24T01:36:42Z | - |
dc.date.available | 2017-07-24T01:36:42Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | IEEE Transactions on Control of Network Systems, 2017, v. 4 n. 2, p. 312-322 | - |
dc.identifier.issn | 2325-5870 | - |
dc.identifier.uri | http://hdl.handle.net/10722/242204 | - |
dc.description.abstract | This paper investigates the instability measure of linear systems defined as the sum of the unstable eigenvalues in the continuous-time case and the product of the unstable eigenvalues in the discrete-time case. The problem consists of determining the largest instability measure in systems depending polynomially on parameters constrained in a semialgebraic set. It is shown that upper bounds of the sought measure can be established via linear matrix inequality feasibility tests. Moreover, a priori and a posteriori conditions for establishing nonconservatism are proposed. Finally, two special cases of the proposed methodology are investigated-the first one concerns systems with a single parameter, and the second one concerns the determination of the largest spectral abscissa and radius. Three applications in control with communications constraints are discussed. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeecss.org/publications/transactions-control-network-systems-1 | - |
dc.relation.ispartof | IEEE Transactions on Control of Network Systems | - |
dc.rights | ©2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Communications constraints | - |
dc.subject | instability | - |
dc.subject | linear matrix inequalities (LMIs) | - |
dc.subject | parametric systems | - |
dc.title | Control with communications constraints: measuring the instability in parametric linear systems | - |
dc.type | Article | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/TCNS.2015.2501060 | - |
dc.identifier.scopus | eid_2-s2.0-85027520897 | - |
dc.identifier.hkuros | 273423 | - |
dc.identifier.volume | 4 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 312 | - |
dc.identifier.epage | 322 | - |
dc.identifier.isi | WOS:000404065000017 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2325-5870 | - |