摘要
针对T-S型模糊系统进行局部稳定性分析.首先指出模糊系统全局渐近稳定充分条件的不足,证明了此条件不是必要条件;然后将模糊集合的隶属度函数代入模糊系统表达式,得到一个特殊的非线性离散系统,从系统分析的区域、判定稳定的条件及稳定范围3方面确定稳定区域;最后对不稳定的系统给出了不稳定判据.仿真实例证明了这种方法的有效性.该方法对系统稳定点附近局部稳定性的判定有着很强的实用价值.
Local stability of T-S fuzzy systems is analyzed. The deficiency of global asymptotic stability sufficient condition of fuzzy systems is pointed out. This condition is proved not to be necessary condition. The membership functions of fuzzy sets are substituted in fuzzy system expressions to derive a special nonlinear discrete system. The stability region is determined from three aspects: the analysis region, stability criterion condition and stability range. The instability criterion is presented with regard to instable systems. A simulation example shows the validity of the method.
出处
《控制与决策》
EI
CSCD
北大核心
2004年第12期1368-1372,共5页
Control and Decision
