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Improved H∞control for networked control systems with network-induced delay and packet dropout

机译:具有网络引起的延迟和数据包丢失的网络控制系统的改进H∞控制

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摘要

The H∞performance analysis and controller design for linear networked control systems (NCSs) are presented. The NCSs are considered a linear continuous system with time-varying interval input delay by assuming that the sensor is time-driven and the logic Zero-order-holder (ZOH) and controller are event-driven. Based on this model, the delay interval is divided into two equal subintervals for H∞ performance analysis. An improved H∞ stabilization condition is obtained in linear matrix inequalities (LMIs) framework by adequately considering the information about the bounds of the input delay to construct novel Lyapunov–Krasovskii functionals (LKFs). For the purpose of reducing the conservatism of the proposed results, the bounds of the LKFs differential cross terms are properly estimated without introducing any slack matrix variables. Moreover, the H∞controller is reasonably designed to guarantee the robust asymptotic stability for the linear NCSs with an H∞ performance levelγ. Numerical simulation examples are included to validate the reduced conservatism and effectiveness of our proposed method.
机译:提出了线性网络控制系统(NCS)的H∞性能分析和控制器设计。通过假设传感器是时间驱动的,逻辑零阶保持器(ZOH)和控制器是事件驱动的,NCS被视为具有时变间隔输入延迟的线性连续系统。基于此模型,将延迟间隔分为两个相等的子间隔,以进行H∞性能分析。在线性矩阵不等式(LMI)框架中,通过充分考虑有关输入延迟范围的信息以构造新型Lyapunov–Krasovskii泛函(LKFs),可以获得改进的H∞稳定条件。为了减少所提出结果的保守性,在不引入任何松弛矩阵变量的情况下,正确估计了LKFs微分交叉项的边界。此外,合理设计H∞控制器以保证具有H∞性能水平γ的线性NCS的鲁棒渐近稳定性。数值算例包括验证了所提方法的保守性和有效性。

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