Fractional order filter based adaptive secure design for nonlinear switched systems

In this article, the problem of secure finite-time tracking is solved for nonlinear switched systems (NSSs) subject to cyber attacks under arbitrary switching. Firstly, a new auxiliary conversion is utilized to concordance the reference signal with the attack signal. Then, a common fractional order filter is introduced and shared by all the subsystems to avoid complexity explosion issue. Based on the common filter, a common Lyapunov function (CLF) is systematacially constructed by a recursive method. Finally, by appropriately selecting the parameters, the proposed secure mechanism renders that the output of NSSs tracks the desired signal under arbitrary switching within the small deviation and finite-time.