一类带未知输入时滞的多时滞非线性系统的对时滞参数的自适应H∞控制

Adaptive H∞ Control for a Class of Nonlinear Time-delay Systems with Uncertain Input Delay

针对一类带未知输入时滞参数的非线性时滞系统,基于线性矩阵不等式LMI和一种基于“Descriptor form”的Lyapunov-Krasovskii泛函方法,设计了一种带未知时滞估计项的记忆型状态反馈控制器,给出了针对该未知输入时滞参数的自适应控制H∞控制器设计方案,并对闭环系统的稳定性给出了证明．

Based on LMI method and ＂Descriptor form＂-based Lyapunov-Krasovskii functional, the problem of H∞ controller design is discussed for nonlinear time-delay control systems with uncertain input delay. Memoryless and memory state feedback control is designed, in which the estimate of the unknown delay parameter is contained in the memory part. At the same time, an adaptive control strategy for the unknown delay parameter of the input vector is proposed and the sufficient condition of its solution is also presented.