Adaptive Fuzzy Control for Uncertain Nonlinear Systems with Time-delay

Based on relaxed stability conditions,the adaptive fuzzy control for nonlinear time-delay systems with unknown bounded uncertainties is studied in this paper.Three parameters are introduced into Lyapunov functional,the delay-dependent stability conditions with adjustable parameters are gotten.The observer-based adaptive fuzzy controller is design,observer gains and feedback gains can be gotten by solving a set of linear matrix inequalities(LMIs).When adjustable parameters taking different values,feedback gains and observer gains are also different,therefore,the dynamic performance of closed-loop systems can be optimized by taking proper adjustable parameters.Finally,an example is given to illustrate the effectiveness the proposed method.