Synchronization of a network of nonlinear agents with input disturbances

Shidong Zhai, Qingdu Li · 2015

This paper considers the synchronization of a network of nonlinear systems with disturbances in input and measured output. We assume that every agent satisfies passivity property. By defining a controlled output, the synchronization problem is converted to H∞control problem. We design a distributed dynamical output-feedback control protocol such that the closed-loop system satisfies a guaranteed H∞performance. In addition, we design a distributed static output-feedback control protocol such that the closed-loop system satisfies a guaranteed H∞performance in the case that the measured output is not influenced by disturbance. A numerical example about Goodwin oscillators is presented to illustrate the effectiveness of the proposed control law.

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