一类输入时滞的线性时滞系统的自适应H∞控制

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针对一类带输入时滞且状态时滞常数未知的线性时滞系统,基于LMI方法,采用一种基于“descriptor form”的Lyapunov-Krasovskii函数和带记忆的状态反馈控制,设计了一种带未知时滞估计项的记忆型状态反馈控制器,给出了针对未知状态时滞参数的自适应控制的H∞控制器设计方案,并对系统的稳定性进行了证明. For a class of linear time-delay systems with input delay and unknown state delay constant, based on the LMI method, a descriptor form-based Lyapunov-Krasovskii function and state feedback control with memory are proposed. The memory-type state feedback controller with time-delay estimation terms is given. The design scheme of H∞ controller for adaptive control of unknown state delay parameters is given and the stability of the system is proved.
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