H∞ consensus control of multi-agent systems under attacks with partially unknown Markovian probabilities

This paper investigates the secure leader-following consensus control of multi-agent systems under random Deny-of-Service (DoS) attacks whose attack probabilities are not completely known. When agents communicate with each other, an attacker with partially available attack information randomly launches DoS attacks into some channels in the communication topology, which makes the communication topology Markovian switching with partially unknown transition probabilities. By applying Lyapunov function analysis, a sufficient condition is given to ensure that the leader-following consensus can be achieved in stochastic mean-square sense with a prescribed H infinity performance and the feasible consensus control gain can be figured out. A simulation example of LC oscillator circuit network is given to illustrate the feasibility of the results. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.