Abstract: The robust stability of the time-delay system with mixed uncertainties is discussed, which has a wide-representative sense in practice. It is supposed that the linear part in the forward loop is of parametric uncertainties described by interval perturbation mode, and that the non-linear part in the feedback loop is characterized by an integral quadratic constraint(IQC). The infinite stability checking problem of the systems with mixed uncertainties can be converted to finite or one dimensional stability checking for different structures of the IQC multipliers.

Key words: time-delay system, integral quadratic constraint, parametric uncertainty, robust control

摘要： 研究了一类同时具有参数不确定和动态不确定时滞系统的鲁棒控制问题。假定其线性部分的参数不确定由区间摄动模式描述，非线性部分的动态不确定由积分二次约束(IQC)描述，给出时滞互联系统鲁棒稳定的充分条件。并根据积分二次约束乘子双凸函数和凸凹函数的特性，把混合不确定时滞系统的无穷维稳定性检验问题转化为一维检验或有限检验问题。

关键词: 时滞系统, 积分二次约束, 参数不确定, 鲁棒控制