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Article: Structured feedback synthesis for stability and performance of switched systems
Title | Structured feedback synthesis for stability and performance of switched systems |
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Authors | |
Keywords | Switched system Stability H2 norm RMS gain Feedback synthesis |
Issue Date | 2020 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 |
Citation | IEEE Transactions on Automatic Control, 2020, v. 65 n. 11, p. 4695-4709 How to Cite? |
Abstract | This paper addresses the synthesis of fixed-order output feedback controllers for stability and performance of continuous-time switched linear systems with dwell time constraints or arbitrary switching. Specifically, the paper starts by considering the stabilization problem, which is addressed by searching for a family of homogeneous polynomial Lyapunov functions (HPLFs) parameterized polynomially by the sought controller. In order to conduct this search, polynomials are introduced for approximating the matrix exponential and for quantifying the feasibility of the Lyapunov inequalities. It is shown that a stabilizing 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. Analogous conditions for the existence of a controller ensuring desired upper bounds on the H2 norm or on the RMS gain of the closed-loop system are derived by searching for a family of homogeneous rational Lyapunov functions (HRLFs) parameterized rationally by the sought controller. |
Persistent Identifier | http://hdl.handle.net/10722/284822 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.contributor.author | Colaneri, P | - |
dc.date.accessioned | 2020-08-07T09:03:04Z | - |
dc.date.available | 2020-08-07T09:03:04Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2020, v. 65 n. 11, p. 4695-4709 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/284822 | - |
dc.description.abstract | This paper addresses the synthesis of fixed-order output feedback controllers for stability and performance of continuous-time switched linear systems with dwell time constraints or arbitrary switching. Specifically, the paper starts by considering the stabilization problem, which is addressed by searching for a family of homogeneous polynomial Lyapunov functions (HPLFs) parameterized polynomially by the sought controller. In order to conduct this search, polynomials are introduced for approximating the matrix exponential and for quantifying the feasibility of the Lyapunov inequalities. It is shown that a stabilizing 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. Analogous conditions for the existence of a controller ensuring desired upper bounds on the H2 norm or on the RMS gain of the closed-loop system are derived by searching for a family of homogeneous rational Lyapunov functions (HRLFs) parameterized rationally by the sought controller. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.rights | ©2019 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 | Switched system | - |
dc.subject | Stability | - |
dc.subject | H2 norm | - |
dc.subject | RMS gain | - |
dc.subject | Feedback synthesis | - |
dc.title | Structured feedback synthesis for stability and performance of switched 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/TAC.2019.2962218 | - |
dc.identifier.scopus | eid_2-s2.0-85077247221 | - |
dc.identifier.hkuros | 312356 | - |
dc.identifier.hkuros | 323870 | - |
dc.identifier.volume | 65 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 4695 | - |
dc.identifier.epage | 4709 | - |
dc.identifier.isi | WOS:000583711500015 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0018-9286 | - |