Abstract
This paper develops a structured optimal-control framework to design coupling gains for synchronization of weakly nonlinear oscillator circuits connected in resistive networks with arbitrary topologies. The oscillators are modeled as weakly nonlinear Liénard-type circuits, and the coupling gain amounts to the current gain which scales the output current of the oscillator. The structured optimal-control problem allows us to seek a decentralized control strategy (equivalently, a diagonal feedback matrix) that precludes communications between oscillators. To this end, a sparsity-promoting optimal control algorithm is developed to tune the optimal diagonal feedback-gain matrix with minimal performance sacrifice. This involves solving an ?2 optimal control problem with ℓ1 regularization by applying the alternating direction method of multipliers (ADMM). Simulation studies with application to voltage regulation in islanded networks composed of power-electronic inverters are provided to validate the approach.
Original language | English (US) |
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Title of host publication | 54rd IEEE Conference on Decision and Control,CDC 2015 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 1310-1315 |
Number of pages | 6 |
ISBN (Electronic) | 9781479978861 |
DOIs | |
State | Published - Feb 8 2015 |
Event | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: Dec 15 2015 → Dec 18 2015 |
Publication series
Name | Proceedings of the IEEE Conference on Decision and Control |
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Volume | 54rd IEEE Conference on Decision and Control,CDC 2015 |
ISSN (Print) | 0743-1546 |
ISSN (Electronic) | 2576-2370 |
Other
Other | 54th IEEE Conference on Decision and Control, CDC 2015 |
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Country/Territory | Japan |
City | Osaka |
Period | 12/15/15 → 12/18/15 |
Bibliographical note
Publisher Copyright:© 2015 IEEE.
Keywords
- Alternating direction method of multipliers
- sparsity-promoting optimal control
- synchronization
- weakly nonlinear oscillators