Robust Stability Analysis of Uncertain T--S Fuzzy Systems with Random
Time-varying Delay and Packet Dropouts
Abstract
In this study, we explore the robust H ∞ control for uncertain T-S fuzzy
systems with random time-varying delay and packet dropouts. The novel
fuzzy model is presented to account for the stochastic nature of delays.
A new Lyapunov-Krasovskii functional (LKF) is developed upon a delay
decomposition technique. Less conservative results are obtained by
segmenting the delay interval and considering the probability
distribution within each segment. Once the time-varying delay is known,
conservatism is further reduced. We derive two sufficient criteria using
reciprocally convex inequalities. A new delay-derivative dependent
method is proposed. Unlike previous research, this approach effectively
incorporates delay derivative information to build the system with
stochastic time-varying delay. The superiority of our approach is
thoroughly demonstrated by simulations involving three examples as well
as a model of truck-trailer.