Asynchronously compensated synchronization algorithm for multiple harmonic oscillators with communication delay

Synchronization problem is investigated for multiple harmonic oscillators with identical communication delay in this paper. We propose a new distributed control algorithm in asynchronously compensated form and a corresponding reduced-order observer-based distributed control algorithm. By using frequency-domain analysis, delay-dependent and delay-independent convergence conditions are obtained for our proposed algorithms under leader-following and leaderless coordination control structures, respectively, and the results can be directly extended to the observer-based algorithm based on the separation principle. Numerical examples illustrate the validity of the theoretical findings. Copyright (c) 2016 John Wiley & Sons, Ltd.