A simple criterion for the global exponential stability of uncertain T-S fuzzy singularly perturbed discrete-time systems

In this paper, the global exponential stability for a class of uncertain Takagi-Sugeno (T-S) fuzzy singularly perturbed systems is investigated. Based on time-domain approach with difference inequality technique, a simple criterion is derived to guarantee the global exponential stability of such systems. The upper bound of the singular perturbation parameter is also provided by estimating the unique positive zero of specific function. Finally, two numerical examples are given to demonstrate the feasibility and effectiveness of the obtained result.