Interval observer-based consensus control of discrete-time multi-agent systems under stealthy attacks

In this paper, interval observer-based consensus control is developed for multi-agent systems with unknown input signals, sensor noises, and stealthy attack signals. Compared with the conventional robust observer, the interval observer has more relaxed preconditions for the systems, so the interval observer is more extensive. First, design an interval observer for each subsystem and linearly transform into a form that is easy to obtain the coefficient matrices of the interval observer. Then, based on the upper bound estimation of the observer, design a consensus control protocol, and the $H_{\infty }$ technique is used to suppress the unknown input signals. Finally, a numerical simulation example is presented to illustrate the feasibility and correctness of the developed method.