Differential privacy protection for cooperative control of multi-agent systems with switching topologies

With the continuous development and popularization of network information technology, the release and collection of all kinds of data become more and more convenient. However, the direct release of data will inevitably lead to the leakage of network information and the loss of sensitive information, so the protection of sensitive information has become a concern of all walks of life. In this paper, the differential privacy problem of cooperative control for first-order multi-agent systems based on fixed topology and switched topology is studied. A cooperative control algorithm with privacy is proposed by combining the differential privacy algorithm and the average consistency algorithm, and the influence of privacy protection algorithm on the stability of distributed cooperative control closed-loop system is analyzed. Based on the proposed algorithm, the convergence and the privacy of privacy protection cooperative control algorithm are theoretically analyzed by using matrix theory and probability statistics. The algorithm can protect the data privacy of intelligent individuals and make the system motion achieve mean square consistency. In the case of dynamic system topologies, the convergence and privacy of the algorithm is analyzed, and the impact of switching topologies on privacy protection is discussed. Finally, numerical simulations are shown to verify the correctness of the results. © 2022 South China University of Technology. All rights reserved.