输入空间新划分下模糊控制系统的稳定性  

Stability of fuzzy control systems based on a new partition of input space

作　　者：苗志宏[1] 李洪兴[2] 

机构地区：[1]中国人民武装警察部队学院消防工程系,河北廊坊065000 [2]大连理工大学电信学院,辽宁大连116024

出　　处：《控制理论与应用》2010年第11期1511-1517,共7页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60774049)

摘　　要：对于模糊控制系统稳定性问题,如何充分利用模糊规则的结构信息获得更加宽松的稳定性条件目前还没有有效的方法.本文针对T-S模糊模型利用输入空间新划分方法讨论了模糊控制系统的稳定性和控制器设计问题.首先通过输入空间新划分导出了模糊规则库的一些性质.然后,通过构建一个分段可微二次Lyapunov函数,获得了保守性更低的稳定性充分条件.这一条件进一步转化成了设计模糊控制器的线性矩阵不等式条件.最后,仿真实验验证了方法的有效性.For fuzzy control systems, there is no effective way to determine stability conditions less conservative than the usual ones by fully utilizing the fuzzy rules structure information. We develop the stability conditions and the design method for the fuzzy control system by dividing its input space in a new way. The properties of the fuzzy rule base are derived from the division of the input space. A less conservative stability condition is obtained by constructing a piecewise differentiable quadratic Lyapunov function. This condition is transformed into the form of linear matrix inequalities for designing the fuzzy controller. Simulation examples are given to show the effectiveness of the proposed method.

关 键 词：T-S模糊模型 分段二次稳定 并行分布补偿方法 线性矩阵不等式 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]