The presence of set-valued mapping affects the stability of the output of the lure system, adding to the difficulty in observer design. To overcome the difficulty, the author mapped the system output error to the nonlinear term of the framer, creating a framer of the extended Luenberger structure, and analyzed the coordination of the error system by the monotonic system theory. On this basis, the interval observer was designed for the lure system. Then, the lure system and its observer systems were proved as asymptotically stable. Finally, it is proved that the observer system trajectory always followed the original state trajectory through the simulation under the different selections of set-valued mapping.

中文翻译：

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估算方法在诱饵系统中的应用

集值映射的存在会影响诱饵系统输出的稳定性，从而增加观察者设计的难度。为了克服这一困难，作者将系统输出误差映射到成帧器的非线性项，创建了扩展的Luenberger结构的成帧器，并利用单调系统理论分析了误差系统的协调性。在此基础上，为诱饵系统设计了间隔观察器。然后，证明了诱饵系统及其观测器系统是渐近稳定的。最后，通过仿真，在设定值映射的不同选择下，观察者系统的轨迹始终遵循原始状态轨迹。