基于T-S模糊模型的非线性时滞系统的变结构控制

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非线性时滞系统的变结构控制问题。首先,利用变结构控制理论选择滑模面,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时间内到达滑模面并一直保持在滑模面上。当不确定项不满足匹配条件时,根据Lyapunov稳定性理论和线性矩阵不等式(LMI)的方法得到了系统状态全局稳定的充分条件。最后给出了一个仿真加以说明该设计方法的有效性。

Variable Structure Control of Nonlinear Time-delay Systems Based on T-S Fuzzy Model

Based on T-S fuzzy model and variable structure control technique,the problem of variable structure control of nonlinear time-delay systems in the existence of parameter perturbations was studied. Firstly,the sliding surface was chosen by variable structure control theory. According to reaching condition,the variable structure control method was proposed.The control method guaranteed that the trajectory of system arrives at the sliding surface in finite time interval and was kept thereafter.The sufficient condition for globally stability of the state was derived in terms of Lyapunov theory and linear matrix inequalities technique when there existed the mismatched uncertainties. Lastly a simulation was given to illustrate the effectiveness of the proposed approach.