Finite-time impulsive control for stochastic T-S fuzzy systems: A waiting-time-based event-triggered method

Abstract

The finite-time impulsive control problem is studied for stochastic T-S fuzzy systems with parameter uncertainties. In order to reduce numbers of impulsive control and information transmission, we proposed event-triggered impulsive control (ETIC) scheme involving the co-design of event-triggered mechanisms and impulsive gains to ensure stochastic finite-time stability (SFTS) of considered systems. For ETIC scheme, impulsive inputs are adopted to systems only at event-triggering instants. The waiting-time is introduced into ETIC scheme to avoid Zeno behavior and save communication resources further. Compared with the time-triggered impulsive control, a theoretical analysis indicates that ETIC not only removes the restriction of upper bound for impulsive intervals, but also significantly reduce the number of impulsive control while ensuring the same control performance. Two examples illustrated the advantage and validity of ETIC scheme.