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基于Takagi-Sugeno(T-S)模糊模型方法,研究一类不确定非线性常数时滞系统的鲁棒稳定性问题。基于一组线性矩阵不等式的可解性,给出非线性时滞系统时滞相关稳定和鲁棒稳定的充分条件。通过构造新的包含三重积分的增广的Lyapunov泛函,降低了稳定性准则的保守性。三个数值实例表明本方法的有效性和较小的保守性。
Based on the Takagi-Sugeno (T-S) fuzzy model method, the robust stability of a class of uncertain nonlinear systems with time-varying delays is studied. Based on the solvability of a set of linear matrix inequalities, the sufficient conditions for delay-dependent stability and robust stability for nonlinear time-delay systems are given. By constructing a new augmented Lyapunov functional involving triple integral, the stability criterion is reduced. Three numerical examples show the effectiveness and less conservative of this method.