基于分段李雅普诺夫函数的永磁同步电机混沌系统非脆弱模糊控制

Non-fragile Fuzzy Control of Permanent-magnet Synchronous Motor Chaos Systems Based on Piecewise Lyapunov Function

针对控制器存在加性增益参数摄动的情况,研究了一类由T-S模型描述的非线性系统的非脆弱模糊控制问题,目的是设计一个非脆弱控制器以镇定所考虑的非线性系统。采用线性矩阵不等式处理方法,导出了非脆弱控制器的存在条件。通过建立和求解一个凸优化问题,给出了非脆弱控制器的设计方法,进而运用提出的方法来控制永磁同步电机混沌系统。仿真结果验证了该设计方法的有效性。

The non-fragile fuzzy control problem is considered for a class of nonlinear systems described by the T-S model in the presence of additive gain perturbations in the implemented controller. The objective is to design a non-fragile controller to stabilize the nonlinear system. The existence condition of nonfragile controllers is derived in terms of linear matrix inequalities（LMIs）, and the design procedure is formulated as a convex optimization problem. Furthermore, the proposed method is used to control the permanent-magnet synchronous motor chaos system. The simulation results demonstrate the effectiveness of the proposed method.