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Robust stability analysis and feedback control for networked control systems with additive uncertainties and signal communication delay via matrices transformation information method
Information Sciences Pub Date : 2021-09-08 , DOI: 10.1016/j.ins.2021.09.005
Wei Zheng 1, 2 , Zhiming Zhang 1 , Fuchun Sun 3 , Shuhuan Wen 1
Affiliation  

The interval type-2 Takagi-Sugeno (T-S) fuzzy dynamic output feedback and H-infinity stability analysis is studied for a class of networked control systems with multiple time-varying additive uncertainties, time-varying signal communication delay and external disturbance. Firstly, the interval type-2T-S fuzzy is employed to denote the system plant. Secondly, the multiple time-varying additive uncertainties are introduced in the controller design and the state variables depending on additive uncertainties. Thirdly, the delay-dependent Lyapunov-Krasovskii functional with double integral terms is designed to derive the less conservative stability conditions in terms of linear matrix inequalities (LMIs). The characteristic of the state variables are reflected effectively by employing the controller with multiple time-varying additive uncertainties. The closed-loop system is asymptotically stable with prescribed H-infinity performance index γ by employing the matrices transformation information. The less conservative stability conditions are derived and extended into the networked control system without additive uncertainties. Finally, simulations are presented to show the effectiveness of the proposed methods.



中文翻译:

基于矩阵变换信息方法的具有附加不确定性和信号通信延迟的网络控制系统的鲁棒稳定性分析和反馈控制

针对一类具有多个时变附加不确定性、时变信号通信延迟和外部干扰的网络控制系统,研究了区间2型高木-菅野(TS)模糊动态输出反馈和H-无穷大稳定性分析。首先,采用区间型2T-S模糊表示系统对象。其次,在控制器设计中引入了多个时变附加不确定性以及取决于附加不确定性的状态变量。第三,具有双积分项的延迟相关的 Lyapunov-Krasovskii 泛函旨在根据线性矩阵不等式 (LMI) 导出不太保守的稳定性条件。采用具有多个时变附加不确定性的控制器,有效地反映了状态变量的特性。闭环系统是渐近稳定的,具有指定的 H 无穷大性能指标γ通过使用矩阵变换信息。推导出不太保守的稳定性条件并将其扩展到网络控制系统中,而没有附加的不确定性。最后,通过仿真来证明所提出方法的有效性。

更新日期:2021-09-23
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