An adaptive time-delay observer (ATDO) technique has been proposed for a class of systems including unknown constants by combining difference approach with sliding mode. Firstly, the differential and its higher-order differentials of the output are represented by the difference quotients between the output and its delayed measurement, and a novel time-delay observer is presented by using the estimation of nonlinear function, then an adaptive time-delay observer (ATDO) is established under the assumption of linear-parameterization. For the proposed observers, the convergence property has been analyzed. Finally, simulation results are given to demonstrate the effectiveness of the proposed observers.%利用输出差分及滑模方法研究一类非线性系统的自适应时延状态观测器设计问题.首先将系统输出的微分及高阶微分用输出和其延迟测量值的差商来表示, 然后在此基础上构造了一种时延状态观测器, 估计误差的影响可由滑模项来消除.在系统满足线性参数化的条件下给出了一种自适应时延状态观测器设计.最后给出仿真研究说明设计方法的有效性.
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