Model-free adaptive control for MIMO nonlinear systems under packet dropout and DoS attack

The control problem for multiple-input multiple-output (MIMO) nonlinear systems against stochastically occurring packet dropout and periodic denial-of-service (DoS) jamming attacks is studied in this paper. Firstly, two independent Bernoulli distributions are applied to model random packet dropout and periodic DoS attack. Then combining with the model, a model-free adaptive control (MFAC) algorithm is put forward. Meanwhile, we analyze the stability of the algorithm theoretically and the results indicated that the tracking error is convergent under the presence of packet dropout and periodic DoS attack. Finally, a numerical example results verify the validity of the algorithm.