基于转移依赖Lyapunov函数离散时间切换系统的异步l_(2)-l_(∞)滤波  

Asynchronous l_(2)-l_(∞) filtering of discrete-time switched systems based on transferring-dependent convex Lyapunov function

作　　者：王瑞华 李福鹏 胡硕洋 费树珉 WANG Rui-hua;LI Fu-peng;HU Shuo-yang;FEI Shu-min(College of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China;College of Automation,Southeast University,Nanjing 210096,China)

机构地区：[1]青岛理工大学信息与控制工程学院,山东青岛266520 [2]东南大学自动化学院,南京210096

出　　处：《控制与决策》2024年第4期1231-1239,共9页Control and Decision

基　　金：国家自然科学基金项目(62203248,62001263);山东省自然科学基金项目(ZR2021MF087);山东高等学校科技计划项目(J18KA324)。

摘　　要：主要研究离散时间切换系统在容许路径依赖混合驻留时间(AED-IDT)切换下异步l_(2)-l_(∞)滤波器的设计问题.不同于以往的研究结果,提出一种异步转移依赖凸Lyapunov函数,得到了低保守性稳定性判据.所设计Lyapunov函数的创新之处在于其构建不再依赖系统模态,而是依赖当前激活的滤波器模态和刚刚运行结束的滤波器模态.鉴于所设计Lyapunov函数具有凸性质,这为所提出方法提升自由度和灵活性创造了空间.采用转移依赖凸Lyapunov函数和AED-IDT切换策略,能够得到保证滤波误差系统全局一致指数稳定,且具有l_(2)-l_(∞)性能的充分条件.在此基础上,提出异步l_(2)-l_(∞)滤波器的设计方法.最后,通过一个数值实例和一个切换RLC应用电路来验证所得结果的有效性,并经过仿真实验验证了所提出设计方法能够保证更紧的驻留时间界和较小的滤波误差结果.This paper investigates the design of the asynchronous l_(2)-l_(∞) filter for discrete-time switched systems under admissible edge-dependent integrated dwell time(AED-IDT).Different from the previous research results,it is the first time to propose the asynchronous transferring-dependent convex Lyapunov function to obtain the less conservative stability criteria.The novelty of the Lyapunov function is that it is constructed in a way that does not depend on the system mode,but depend on the currently activated filter mode and the freshly deactivated filter mode.Given the convex property of the designed Lyapunov function,this provides the possibility for the proposed method to improve the degree of freedom and flexibility.By using the transferring-dependent convex Lyapunov function and AED-IDT switching strategies,the sufficient conditions are derived to ensure the global uniform exponential stability and l_(2)-l_(∞) performance of the filtering error system.Furthermore,the method of constructing asynchronous l_(2)-l_(∞) filter is given.Finally,a numerical example and a switched RLC application circuit are provided to demonstrate the potential and validity of the obtained results.The simulation results verify that the proposed design approach yields tighter dwell time bounds and smaller filtering error.

关 键 词：离散时间切换系统 转移依赖凸Lyapunov函数 容许路径依赖混合驻留时间 全局一致指数稳定 异步l_(2)-l_(∞)滤波 切换RLC电路 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]