Synchronization in Networked Systems with Parameter Mismatch: Adaptive Decentralized and Distributed Controls
For control engineers, it provides adaptive control methods to achieve synchronization in networked systems despite parameter mismatches.
The paper studies synchronization in networks of mismatched systems, deriving an upper bound on state error and designing decentralized and distributed compensators to asymptotically pin the network to a desired trajectory, validated with Lorenz oscillator simulations.
Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. We derive an upper bound on the norm of the error of network states from its average states, which it achieves in finite time. Then, we devise a decentralized compensator to asymptotically pin the network of mismatched systems to a desired trajectory. Next, we design distributed estimators to compensate for the mismatched parameters performances of adaptive decentralized and distributed compensations are analyzed. Our analytical results are verified by several simulations in a network of globally connected Lorenz oscillators.