一类模糊时滞系统自适应跟踪控制与仿真

Adaptive 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自适应输出跟踪问题。首先利用变结构控制理论选择滑动模,根据李雅普诺夫方法,提出了一种自适应变结构控制策略。利用自适应策略的目的在于克服扰动的未知上界,使设计的控制器满足可达条件。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。其次根据ISS理论和LMI方法研究了系统状态全局有界的充分条件。最后,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, an adaptive output tracking control problem for fuzzy time-delay systems in the existence of parameter perturbations was developed. Firstly, the sliding mode was chosen by variable structure control theory. By applying the Lypunov stability theory, the design method of adaptive variable structure control was proposed. The use of adaptive technique is to overcome the unknown upper bound of perturbation so that the hitting condition can be satisfied. The method guarantees that the trajectory of system arrives at the slide surface in finite time interval and is kept here thereafter. Secondly, the sufficient condition for globally bound of the state was proposed by using ISS theory and LMI method. Finally, the simulation example is employed to illustrate the validity and effectiveness of the proposed method.