基于Lyapunov方法的模糊广义系统稳定性

Stability of T-S fuzzy descriptor systems based on fuzzy Lyapunov method

为了解决广义T-S模糊控制系统稳定性和模糊控制器设计问题,利用模糊Lyapunov方法得出了自由系统新的稳定性充分条件,该条件具有更大的宽松性;同时基于一系列线性矩阵不等式(LMI)设计了模糊控制器,该矩阵不等式可以利用凸优化技术来进行解决;把所有子系统的系数放到一个矩阵中综合考虑,放松了控制系统的稳定条件。

To solve the problem in the stability analysis and in fuzzy controller design for descriptor T-S fuzzy system, a new sufficient condition for the stability of the autonomous system is proposed by using fuzzy Lyapunov method, and the obtained condition is more relaxed. Then the fuzzy controller is designed based on a set of LMIs, and the LMIs can be solved by convex optimization. By putting the coefficient matrix of all subsystems into a big matrix, more relaxed stability conditions are obtained.