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分析了一类非线性延时系统的观测器设计问题。为了分析非线性函数对观测器设计的影响,提出了一类准单边Lipshitz条件。在准单边Lipschitz条件的基础上,得到了可渐近估计任意状态的延时无关和延时相关的观测器设计充分条件。这些充分条件可描述为线性矩阵不等式的形式。此外,即使非线性延时系统的参数对(A,C)是不可测的,这些充分条件依然是有效的,因为不必正定的准单边Lipschitz矩阵包含了很多非线性部分的有用信息。
The problem of observer design for a class of nonlinear time-delay systems is analyzed. In order to analyze the influence of nonlinear function on observer design, a class of quasi-single-sided Lipshitz conditions is proposed. Based on the quasi-unilateral Lipschitz condition, the sufficient conditions for delay-dependent observer design are obtained for asymptotic estimation of arbitrary states. These sufficient conditions can be described as a form of linear matrix inequality. In addition, these sufficient conditions are still valid even though the parameters of (A, C) for the nonlinear time-delay system are not measurable, since the quasi-unilateral Lipschitz matrices that do not have to be positive contain useful information for many non-linear parts.