Cooperative Optimization Control of Double-Integrator Multi-Agent Systems under DoS Attacks

This paper is concerned with the cooperative distributed optimization problem of a specific type of double-integrator multi-agent systems affected by DoS attacks. Firstly, a structure for attack detection and topology recovery is introduced to eliminate the effects of DoS attacks. Then, to estimate the state of the original system, a set of second-order homogeneous filters is designed to generate necessary state estimates. Furthermore, based on new coordinate transformations, the backstepping method is used to reconstruct the controller. According to the designed scheme, the output of each agent is able to converge to the global optimal solution. Ultimately, the feasibility of the theory is verified through simulation.