International Journal of Systems Science ( IF 4.9 ) Pub Date : 2021-01-08 Huiying Liu, Lijun Gao, Zhenyue Wang, Zihan Liu
In this paper, the asynchronous filtering problem is directed at a kind of discrete-time impulsive switched systems, where ‘asynchronous’ implies that there is a delay when switching occurs between filter modes and system modes. A novel Lyapunov function has been constructed. The inventiveness lies in discontinuity of Lyapunov-like function at both the switching time and the instant when the system modes and filter modes are matched. An improved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the performance. On the basis of directed graph, the novel Lyapunov function, the improved inequality and admissible edge-dependent average dwell time technology, some criteria suitable for proving the globally uniformly exponential stability of filtering error system are proposed with performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions.
中文翻译:
具有允许的边沿相关平均停留时间切换信号的离散时间脉冲切换系统的异步l 2 – l∞滤波
本文中,异步 滤波问题针对一种离散时间脉冲切换系统,其中“异步”表示在滤波器模式和系统模式之间进行切换时存在延迟。构造了一个新颖的Lyapunov函数。本发明的发明之处在于,在切换时间以及系统模式和滤波器模式匹配的瞬间,都具有类Lyapunov函数的不连续性。描述了类Lyapunov函数,脉冲,异步现象和干扰之间关系的改进不等式,以保证性能。在有向图的基础上,提出了新颖的李雅普诺夫函数,改进的不等式和允许的边沿相关平均停留时间技术,提出了一些适合证明滤波误差系统的全局一致指数稳定性的准则,其中性能指标,还可以设计相关的滤波器。最后,三个数值例子说明了所得结论的有效性。