Distributed Finite-Time Consensus Control of Second-Order Multiagent Systems Subject to Communication Time Delay

Abstract

This paper studies the consensus problem of a second-order multiagent system (MAS) with fixed communication delay under the structure of leaderless and leader-following systems. By using graph theory and finite-time control scheme, a distributed control protocol is proposed for each agent to reach consensus in a finite time. In practical application, the time delay of states is unavoidable, and for this, the consensus method is supposed to be extended to solve the time-delay problem. Thus, a finite-time consensus protocol with communication time delay is proposed in this paper. Compared with the general consensus method, the reliability and convergence speed of the system are increased by using the finite-time control. In addition, the protocol is distributed, and all agents have only local interactions. Finally, the effectiveness of the proposed protocol is verified by two numerical simulations.

Intermittent Control for Synchronization of Discrete-Delayed Complex Cyber-Physical Networks under Mixed Attacks

“…Ten, Equation (15a) is satisfed for any V(k). Applying Teorem 2 and solving LMI (38), the corresponding synchronization control gains matrices can be obtained as follows: (67)…”

“…Remark 3. Up to now, most of the existing results concerning complex networks are only subject to either cyberattacks or time delays for the simplicity of analysis and design (see, e.g., [12,21,38]). Unfortunately, complex cyberphysical networks may be afected by the combined efects of cyber-attacks, physical attacks, and time delay in a control practice.…”

“…Remark 4. Subject to (38), (39), and (45), the synchronization control gains can be determined by (42). In this optimization problem, we further analyze the efects of the probability of mixed attacks on the synchronization error.…”