Relaxed Stabilization of Interval Type-2 Fuzzy Semi-Markov Jump Systems With DoS Attacks: A Homogeneous Polynomial Approach

This article mainly addresses the stabilization issue of discrete-time interval type-2 fuzzy (IT-2F) semi-Markov jump systems in the presence of denial-of-service attacks by means of homogeneous polynomial approach. By employing the IT-2F technique, nonlinear features, such as possible uncertainties and unknown perturbations, are effectively expressed, and the corresponding membership functions of the fuzzy rules facilitate the application of subsequent polynomial method. A homogeneous polynomially parameter-dependent (HPPD) control law and a type of homogeneous polynomial-based fuzzy functions are designed for enlarging feasible parameter space as well as reducing the conservatism of the conditions, which are both HPPD on membership functions. Moreover, the conclusions concerning nonpolynomial controller and partial unavailable semi-Markov kernel are covered. It is also exemplified that the larger the degree of polynomial matrices, the less energy consumed by the controller. Finally, two examples of quarter-car suspension model and tunnel diode circuit model are provided to support the effectiveness of the presented results.