Observer-Based Control for Interval Type-2 Fuzzy Systems Under PDT-Based DoS Attacks

The work addresses the issue of observer-based control for networked nonlinear systems suffering from denial-of-service (DoS) attacks which are modeled in a novel persistent dwell time (PDT) switched form. The interval type-2 Takagi-Sugeno fuzzy model is adopted to accurately characterize the nonlinear feature in investigated systems and effectively capture uncertain parameters via membership functions. It should be noticed that a new framework comprising a special PDT switching strategy is proposed for distributed DoS attacks with energy limitation. Accordingly, the controlled system is converted into a complex and constrained PDT-switched system. Subsequently, based on weak multi-Lyapunov functions, membership-function-dependent sufficient criteria are offered for judging the globally uniformly exponential stability of the researched closed-loop system, from which the gains of the observer and the controller can be computed. Finally, an algorithm generating PDT switching sequences for distributed DoS attacks is proposed, and simulations are given to substantiate the usability of the developed approach.