Efimov, D, Schiffer, JF and Ortega, R (2016) Robustness of Delayed Multistable Systems with Application to Droop-Controlled Inverter-Based Microgrids. International Journal of Control, 89 (5). pp. 909-918. ISSN 0020-7179
Abstract
Motivated by the problem of phase-locking in droop-controlled inverter-based microgrids with delays, the recently developed theory of input-to-state stability (ISS) for multistable systems is extended to the case of multistable systems with delayed dynamics. Sufficient conditions for ISS of delayed systems are presented using Lyapunov-Razumikhin functions. It is shown that ISS multistable systems are robust with respect to delays in a feedback. The derived theory is applied to two examples. First, the ISS property is established for the model of a nonlinear pendulum and delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumptions, the problem of phase-locking analysis in droop-controlled inverter-based microgrids with delays can be reduced to the stability investigation of the nonlinear pendulum. For this case, corresponding delay-dependent conditions for asymptotic phase-locking are given.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016, Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 05/01/2016, available online: http://www.tandfonline.com/10.1080/00207179.2015.1104555 |
Keywords: | Input-to-state stability; Delay nonlinear systems; microgrids |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Institute of Communication & Power Networks (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 01 Dec 2015 13:24 |
Last Modified: | 11 Jan 2017 13:52 |
Published Version: | http://dx.doi.org/10.1080/00207179.2015.1104555 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/00207179.2015.1104555 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:92374 |