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H-infinity stability analysis and output feedback control for fuzzy stochastic networked control systems with time-varying communication delays and multipath packet dropouts
Neural Computing and Applications ( IF 6 ) Pub Date : 2020-03-14 , DOI: 10.1007/s00521-020-04826-6
Zhiming Zhang , Wei Zheng , Ping Xie , Fuchun Sun , Xiaolei Li , Shuhuan Wen

Abstract

The H-infinity stability analysis and delay-dependent Takagi–Sugeno (T–S) fuzzy dynamic output feedback control are proposed for the T–S fuzzy discrete networked control systems with time-varying communication delay and multipath packet dropouts. T–S fuzzy model is employed to approximate the discrete networked control system with time-varying state delay and external disturbance. Stochastic system theory and Bernoulli probability distribution are employed to describe the time-varying communication delay and multipath packet dropouts. Delay-dependent T–S fuzzy dynamic output feedback controller is designed. The delay-dependent T–S fuzzy dynamic output feedback controller is employed to relax the design conditions and enhance the design flexibility. The delay-dependent Lyapunov–Krasovskii functional, stochastic system theory and Bernoulli probability distribution are introduced to guarantee the stochastic mean-square stability and prescribed H-infinity performance. Some slack matrices are introduced to reduce the computation complexity. Finally, simulation examples are presented to show the effectiveness and advantages of the proposed methods.



中文翻译:

具有时变通信时滞和多路径丢包的模糊随机网络控制系统的H-∞稳定性分析和输出反馈控制

摘要

针对具有时变通信时延和多路径丢包的TS模糊离散网络控制系统,提出了H-无限稳定性分析和时滞相关的Takagi-Sugeno(TS)模糊动态输出反馈控制。采用TS模糊模型对具有时变状态时延和外部干扰的离散网络控制系统进行近似。随机系统理论和伯努利概率分布被用来描述时变通信时延和多径分组丢失。设计了时滞相关TS模糊动态输出反馈控制器。时滞相关的TS模糊动态输出反馈控制器用于放松设计条件并增强设计灵活性。依赖延迟的Lyapunov–Krasovskii函数,引入随机系统理论和伯努利概率分布,以保证随机均方稳定性和规定的H-无穷大性能。引入一些松弛矩阵以降低计算复杂度。最后,通过仿真实例说明了所提方法的有效性和优势。

更新日期:2020-03-26
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