H∞ state estimation for fuzzy affine systems with PDT switching-based DoS attacks

Abstract

The $H_{\infty }$ state estimation problem for discrete-time Takagi–Sugeno (T–S) fuzzy-affine systems with Denial-of-Service (DoS) attacks whose occurrence is described by persistent dwell-time (PDT) switched model is discussed in this work. It should be noticed that distributed DoS attacks are characterized through proper configuration and categorization of mode, where the PDT switching strategy and the algorithm generating PDT switching sequence are proposed to describe the new framework. Correspondingly, the investigated system is transformed into the constrained PDT-switched system. Then, based on a piecewise and mode-dependent Lyapunov function, some sufficient conditions for obtaining the desirable estimator are proposed via the employed linear matrix inequality method and S-procedure theory, which guarantee that the resulting error system is exponentially stable and meets a prescribed $H_{\infty }$ performance level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.