Adaptive Tracking Control of Fuzzy Time-Delay Systems using Variable Structure Control Approach

Based on fuzzy T-S model and variable structure control technique, adaptiveoutput tracking control problem for fuzzy time-delay systems in the existence ofparameter perturbations is developed. Firstly, the sliding mode was chosen by variablestructure control theory. By applying the Lypunov stability theory, the design method ofadaptive variable structure control is proposed. The use of adaptive technique is toovercome the unknown upper bound of perturbation so that the reaching condition can besatisfied. The method guaranteed the trajectory of system to arrive the slide surface infinite time interval and be kept here thereafter. Secondly, the sufficient condition forglobally bound of the state is presented by using ISS theory and LMI method. Finally,simulation example is employed to illustrate the validity and effectiveness of theproposed method.