【摘要】 讨论了T-S模糊系统的局部稳定性及控制器设计问题.给出连续T-S模糊系统局部稳定的定义,利用非二次Lyapunov函数和线性矩阵不等式(LMI)方法得到连续T-S模糊系统局部稳定的充分条件,并给出了基于LMI的局部镇定控制器设计方法.该方法不同于已有的全局稳定控制器设计方法,为判别模糊系统的稳定提供了新的选择.最后通过数值算例演示了控制器的设计方法,并证明了该方法的可行性.更多还原

【Abstract】 The local stability of T-S fuzzy systems is discussed.The concept of local stability for continues T-S fuzzy systems is given.By using non-quadratic Lyapunov function and linear matrix inequality approach,a sufficient condition for the local stability of T-S fuzzy systems is derived and a LMI based on fuzzy controller design method is given.The proposed method is different from the global stability controller design method,which provides a new choice for the stability of continues T-S fuzzy systems.Finally,a numerical example illustrates the design method and shows the feasibility of the method.更多还原