网络环境下的时滞系统记忆型H∞控制

Memorized H∞ Control of Hysteretic Systems under Network Environment

研究了网络环境下时滞系统记忆型状态反馈控制器的设计问题。在综合考虑网络诱导时延和数据包丢失的影响下,建立了一种新的网络控制模型;然后采用基于"Descriptor form"的Lyapunov-Krasovskii泛函和线性矩阵不等式方法,给出了保持系统渐进稳定且满足给定H∞性能指标的充分条件,并给出了最大允许综合时滞界η的求取方法。实例仿真证明了所得结果的有效性。

The design issue of memorized state feedback controller for hysteretic system under network environment is researched.In consideration of time delay and data packet dropout inducted by network,a new network control model has been established.By adopting Lyapunov-Krasovskii function based on ＂Descriptor form＂ and linear matrix inequality,the asymptotical conditions for ensuring system gradually to be stable and meeting H∞ performance index are given.In addition,the derivation method of maximum allowable synthetic hysteretic boundary η is also provided.The effectiveness of the result obtained is proved with practical example of simulation.