一类模糊时滞系统输出跟踪控制

Output Tracking Control for a Class of Fuzzy Time-delay Systems

基于T-S模糊模型和变结构控制策略,研究了一类带有参数不确定项的模糊时滞系统输出跟踪问题。利用变结构控制理论选择滑动模,针对系统时滞项为已知和未知的两种情况,根据可达条件提出了一种变结构控制方法。该方法确保系统的运动轨迹在有限的时间内到达滑模面并一直保持在滑模面上。根据ISS理论和LMI方法研究了系统状态全局有界的充分条件。通过仿真实例验证了所提方法的正确性和有效性。

Based on fuzzy T-S model and variable structure control technique, the output tracking control problem for fuzzy time-delay system in the existence of parameter perturbations is discussed. The sliding mode is selected by variable structure control theory. According to reaching condition, the variable control method is proposed on condition that the time-delay is precisely available and unavailable respectively. The method guarantees the trajectory of system to arrive at the slide surface in finite time interval and be kept here thereafter. The sufficient condition for globally bound of the state is proposed by using ISS theory and LMI method. Simulation example shows the validity and effectiveness of the proposed method.