Stability Analysis of TS Fuzzy System with State-Dependent Impulses

摘要

This paper investigates the stability of TS fuzzy system via state-dependent impulsive control. Based on the Lyapunov stability theory, comparison theorem, and inequality techniques, the sufficient conditions with theoretical demonstration ensuring every solution of concerned models intersect each surface of the discontinuity exactly once are derived. Moreover, by applying B-equivalence method, the state-dependent impulsive TS fuzzy system can be reduced to the fixed-time impulsive ones, which can be analyzed via comparison method and mathematical induction. The control approach guarantees that the proposed state-dependent impulsive TS fuzzy system converge to zero. Finally, two numerical examples are carried out to demonstrate the effectiveness of the obtained results.