Abstract

In this paper, the leader-following consensus problem of a multi-Euler-Lagrange system is studied under deception attacks, where attackers can inject the false data into the data being exchanged over the communication network between two Euler-Lagrange systems. A distributed adaptive filter is proposed to compensate the unknown injection false data, where the magnitude of the false data is estimated. Meanwhile, the performance of the multiple Euler-Lagrange system consensus with the proposed filter can be guaranteed to be similar to that with the traditional controller when the communication network is not injected into false data by a malicious attacker. Furthermore, the consensus criteria of a multiple Euler-Lagrange system and the parameter design scheme of the proposed adaptive filter are achieved by using Lyapunov stability theory. Finally, a numerical example is carried out to demonstrate the effectiveness of the proposed consensus controller for a multi-Euler-Lagrange system attacked by using the false data injection.

Highlights

  • In recent years, the cooperative control of distributed network systems has been widely explored in many fields, such as the network robot systems [1], [2], distributed estimation of the wireless sensor network [3], [4], and distributed detection [5]

  • The cooperative control problems of distributed network systems include synchronization problems, clustering flocking problems, formation control problems, et al these problems can be considered as the consensus problems, that is, each individual uses limited local information to achieve the same state or output of all individuals

  • Many consensus control strategies are intensively investigated under various circumstances, for example, adaptive robust control for model uncertainty or system disturbances [6], [7], distributed switching consensus for parameter jump or switching topology [1], [8], adaptive bipartite consensus for cooperation or competition between agents [6], [9], et al the realization of the consensus control of the distributed network system depends on the security of information interaction over network communication between the agents

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Summary

Introduction

The cooperative control of distributed network systems has been widely explored in many fields, such as the network robot systems [1], [2], distributed estimation of the wireless sensor network [3], [4], and distributed detection [5]. It is of great significance to study the consensus problem of distributed network system when the communication channel or manipulation information is attacked, and this problem has received some substantial research. The cyber attacks are roughly divided into two categories: 1) the denial-of-service (Dos) attacks [14], [15] and 2) deception attacks [16],[17]. The former can destroy the system performance by preventing the timely transmission of data. Deception attacks are difficult to detect and prevent, so it has attracted extensive attention from many researchers

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