永磁同步电机混沌系统鲁棒非脆弱模糊H_∞控制

Robust and non-fragile fuzzy H_∞ control and its application in permanent magnet synchronous motor chaos systems

为了探讨一类具有不确定参数的非线性系统T-S模糊模型,采用并行分布补偿策略,设计了两种带有不确定控制增益的模糊控制器。利用Lyapunov稳定性理论和矩阵理论,采用线性矩阵不等式(LMI)的处理方法,给出了存在非脆弱模糊控制器且满足鲁棒H∞性能指标的充分条件。用满足这一条件的控制器来控制永磁同步电机(PMSM)混沌系统,选择实际中可行的交轴电压作为控制变量,使系统不仅对控制增益的变化有非脆弱性,而且当系统存在扰动时,该控制器设计方法也能很好的抑制干扰。

According to the parallel distr/buted compensation （PDC） concept, the fuzzy controller with two types of uncertain controller gain is designed for a class of nonlinear systems described by the T-S fuzzy model with parametric uncertainties. Using Lyapunov theories of stability and matrix, in terms of linear matrix inequalities （LMIs） the non-fragile control was given the sufficient condition that enabled the system to satisfy the H∞ performance indices. Furthermore, the controller which satisfied the above condition was used to control the permanent magnet synchronous motor（PMSM） chaos system, and the quadrature-axis voltage which was actually suitable was chosen to be the control variable. The system not only has the non-fragility for the variability of controller gain, but also has the ability to restrain the disturbance when there exists the disturbance.