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Conference Paper: On the synthesis of static output feedback controllers for guaranteed RMS gain of switched systems with arbitrary switching
Title | On the synthesis of static output feedback controllers for guaranteed RMS gain of switched systems with arbitrary switching |
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Authors | |
Keywords | HRLF RMS gain Static output feedback Switched system |
Issue Date | 2018 |
Publisher | IEEE. The Proceedings' web site is located at https://ieeexplore.ieee.org/xpl/conhome/1000666/all-proceedings |
Citation | Proceedings of 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), Nara, Japan, 11-14 September 2018, p. 1307-1312 How to Cite? |
Abstract | This paper addresses the problem of determining static output feedback controllers for ensuring desired upper bounds of the root mean square (RMS) gain of continuous-time switched linear systems with arbitrary switching. The problem is addressed by searching for a homogeneous rational Lyapunov function (HRLF) parameterized rationally by the sought controller, and by introducing a polynomial for quantifying the feasibility of the Lyapunov inequalities. It is shown that such a controller exists if and only if a condition built solving three convex optimization problems with linear matrix inequalities (LMIs) holds for polynomials of degree sufficiently large. |
Persistent Identifier | http://hdl.handle.net/10722/272381 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.contributor.author | Colaneri, P | - |
dc.date.accessioned | 2019-07-20T10:41:12Z | - |
dc.date.available | 2019-07-20T10:41:12Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Proceedings of 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), Nara, Japan, 11-14 September 2018, p. 1307-1312 | - |
dc.identifier.isbn | 978-1-5386-6644-9 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272381 | - |
dc.description.abstract | This paper addresses the problem of determining static output feedback controllers for ensuring desired upper bounds of the root mean square (RMS) gain of continuous-time switched linear systems with arbitrary switching. The problem is addressed by searching for a homogeneous rational Lyapunov function (HRLF) parameterized rationally by the sought controller, and by introducing a polynomial for quantifying the feasibility of the Lyapunov inequalities. It is shown that such a controller exists if and only if a condition built solving three convex optimization problems with linear matrix inequalities (LMIs) holds for polynomials of degree sufficiently large. | - |
dc.language | eng | - |
dc.publisher | IEEE. The Proceedings' web site is located at https://ieeexplore.ieee.org/xpl/conhome/1000666/all-proceedings | - |
dc.relation.ispartof | Conference of the Society of Instrument and Control Engineers of Japan Proceedings | - |
dc.rights | Conference of the Society of Instrument and Control Engineers of Japan Proceedings. Copyright © IEEE. | - |
dc.rights | ©2018 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 | HRLF | - |
dc.subject | RMS gain | - |
dc.subject | Static output feedback | - |
dc.subject | Switched system | - |
dc.title | On the synthesis of static output feedback controllers for guaranteed RMS gain of switched systems with arbitrary switching | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.23919/sice.2018.8492672 | - |
dc.identifier.scopus | eid_2-s2.0-85056734797 | - |
dc.identifier.hkuros | 299107 | - |
dc.identifier.spage | 1307 | - |
dc.identifier.epage | 1312 | - |
dc.publisher.place | United States | - |