Abstract
In this paper, we investigate distributed robust adaptive synchronization for complex networked systems with bounded disturbances. We propose both average synchronization protocol and leader-following synchronization protocol based on adaptive control and variable structure control strategies. The synchronization conditions do not require any global information except a connection assumption under the adaptive control method. Furthermore, the external disturbances are attenuated effectively. Finally, we present numerical simulations to illustrate the theoretical findings.
Highlights
Distributed cooperative control for complex networked systems has absorbed a mount of attention due to its widely applications in biological, physical, social, and many engineering sciences
Motivated by the works mentioned, in this paper, we focus on nonlinear multiagent systems with external disturbances
With the hybrid aid of adaptive control, pinning control, and variable structure control strategy, we propose a fully distributed synchronization protocol, which can guarantee that the consensus condition requires no any global information
Summary
Distributed cooperative control for complex networked systems has absorbed a mount of attention due to its widely applications in biological, physical, social, and many engineering sciences. Using sliding-mode control method, the work in [23] investigated the finite consensus and containment of first-order nonlinear multiagent systems with disturbances under directed topology. In [24] a distributed leader-following consensus problem was studied for second-order multiagent systems with bounded disturbances. The main contribution of this paper is twofold: (a) The disturbances are modeled as a nonlinear function dependent on the relative information between the neighboring agents This leads to that the subsystems are coupled by an unknown nonlinear function, which exactly improves the complexity of the stability analysis; (b) adaptive control is involved for adjusting the coupling gains for the average synchronization, and adaptive pinning control protocol is designed for the leader-following case; (c) variable structure control strategy is used for attenuating the bounded channel disturbances.
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