Decentralized Adaptive Harmonic Control for Rejection of Sinusoidal Disturbances Acting on an Unknown System

We present a decentralized adaptive harmonic control, which is effective for rejection of sinusoidal disturbances of known frequencies that act on a completely unknown asymptotically-stable linear time-invariant system. The decentralized control architecture consists of multi-input multi-output subsystems, where each local controller does not have access to any information regarding the system or the nonlocal measurements. We analyze stability and performance properties of the closed-loop for multi-input multi-output subsystems. We show that the decentralized control rejects sinusoidal disturbances asymptotically. We also demonstrate the effectiveness of controller by numerical simulations.