TY - JOUR
T1 - Experiments on node-to-node pinning control of Chua's circuits
AU - Porfiri, Maurizio
AU - Fiorilli, Francesca
N1 - Funding Information:
This research was supported by the National Science Foundation under Grant No. CMMI-0745753. The authors would like to thank Mr. Matteo Aureli for his help with the figures and his careful review of the manuscript and Ms. Nicole Abaid and Mr. Pietro De Lellis for the further review of the manuscript. The authors would also like to acknowledge the anonymous reviewers for their valuable feedback that has helped the authors to improve on the quality and presentation of the manuscript.
PY - 2010/4/15
Y1 - 2010/4/15
N2 - In this paper, we study the global intermittent pinning controllability of networks of coupled chaotic oscillators. We explore the feasibility of the recently presented node-to-node pinning control strategy through experiments on Chua's circuits. We focus on the case of two peer-to-peer coupled Chua's circuits and we build a novel test-bed platform comprised of three inductorless Chua's oscillators. We investigate the effect of a variety of design parameters on synchronization performance, including the coupling strength between the oscillators, the control gains, and the switching frequency of node-to-node pinning control. Experimental results demonstrate the effectiveness of this novel pinning control strategy in rapidly taming chaotic oscillator dynamics onto desired reference trajectories while minimizing the overall control effort and the number of pinned network sites. From an analytical standpoint, we present sufficient conditions for global node-to-node pinning controllability and we estimate the maximum switching period for network controllability by adapting and integrating available results on Lyapunov stability theory and partial averaging techniques.
AB - In this paper, we study the global intermittent pinning controllability of networks of coupled chaotic oscillators. We explore the feasibility of the recently presented node-to-node pinning control strategy through experiments on Chua's circuits. We focus on the case of two peer-to-peer coupled Chua's circuits and we build a novel test-bed platform comprised of three inductorless Chua's oscillators. We investigate the effect of a variety of design parameters on synchronization performance, including the coupling strength between the oscillators, the control gains, and the switching frequency of node-to-node pinning control. Experimental results demonstrate the effectiveness of this novel pinning control strategy in rapidly taming chaotic oscillator dynamics onto desired reference trajectories while minimizing the overall control effort and the number of pinned network sites. From an analytical standpoint, we present sufficient conditions for global node-to-node pinning controllability and we estimate the maximum switching period for network controllability by adapting and integrating available results on Lyapunov stability theory and partial averaging techniques.
KW - Chaos synchronization
KW - Chua's circuit
KW - Fast switching
KW - Global exponential stability
KW - Pinning controllability
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U2 - 10.1016/j.physd.2010.01.012
DO - 10.1016/j.physd.2010.01.012
M3 - Article
AN - SCOPUS:76349092037
SN - 0167-2789
VL - 239
SP - 454
EP - 464
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 8
ER -