TY - GEN
T1 - Design of optimal coupling gains for synchronization of nonlinear oscillators
AU - Purba, Victor
AU - Wu, Xiaofan
AU - Sinha, Mohit
AU - Dhople, Sairaj V.
AU - Jovanovic, Mihailo R.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - 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.
AB - 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.
KW - Alternating direction method of multipliers
KW - sparsity-promoting optimal control
KW - synchronization
KW - weakly nonlinear oscillators
UR - http://www.scopus.com/inward/record.url?scp=84962016123&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84962016123&partnerID=8YFLogxK
U2 - 10.1109/CDC.2015.7402392
DO - 10.1109/CDC.2015.7402392
M3 - Conference contribution
AN - SCOPUS:84962016123
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1310
EP - 1315
BT - 54rd IEEE Conference on Decision and Control,CDC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 54th IEEE Conference on Decision and Control, CDC 2015
Y2 - 15 December 2015 through 18 December 2015
ER -