中文摘要：

研究一类基于切换的非线性时滞系统的鲁棒状态观测器的设计问题.在系统存在有限个备选的状态观测器,并且每一个单一的观测器均不是系统的鲁棒H∞观测器的假设下,针对状态观测器增益矩阵全部已知或全部未知的2种情形,分别利用单Lyapunov函数技术和多Lyapunov函数技术,设计出状态观测器间的切换律,并获得了保证误差系统渐近稳定和H∞范数有界的2个充分条件.且当增益矩阵全部未知时,给出了增益矩阵的显式表达.

英文摘要：

The problem of robust H∞ observer design for a class of nonlinear time-delay systems is considered.Given that there exists finite observers and none of which is a robust H∞ state observer,for the two situations that the gain matrices are all known or all unknown,based on the single Lyapunov functions technique and multiple Lyapunov functions technique respectively,switched laws between state observers are designed,and two sufficient conditions are obtained which guarantee the error systems are asymptotically stable with an H∞-norm bound.And the gain matrices are given with explicit expression when they are all unknown.