This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of pertinent network-wide optimization problems. Particular emphasis is placed on the solution of semidefinite programs (SDPs). The design of the feedback controller is grounded on a dual ε-subgradient approach, with the dual iterates utilized to dynamically update the dynamical-system reference signals. Global convergence is guaranteed for diminishing stepsize rules, even when the reference inputs are updated at a faster rate than the dynamical-system settling time. The application of the proposed framework to the control of power-electronic inverters in AC distribution systems is discussed. The objective is to bridge the time-scale separation between real-time inverter control and network-wide optimization. Optimization objectives assume the form of SDP relaxations of prototypical AC optimal power flow problems.
|Original language||English (US)|
|Title of host publication||ACC 2015 - 2015 American Control Conference|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Jul 28 2015|
|Event||2015 American Control Conference, ACC 2015 - Chicago, United States|
Duration: Jul 1 2015 → Jul 3 2015
|Name||Proceedings of the American Control Conference|
|Conference||2015 American Control Conference, ACC 2015|
|Period||7/1/15 → 7/3/15|
Bibliographical notePublisher Copyright:
© 2015 American Automatic Control Council.