A unified method to energy-to-peak filter design for networked Markov switched singular systems over a finite-time interval
A unified method to energy-to-peak filter design for networked Markov switched singular systems over a finite-time interval
复制标题
DOI：
10.1016/j.jfranklin.2017.09.018
复制
发表时间：
2017-11
期刊：
影响因子：
--
通讯作者：
Xiaona Song;Zhen Wang;Hao Shen;Feng Li;Bo Chen-;Junwei Lu
中科院分区：
文献类型：
--
作者：
Xiaona Song;Zhen Wang;Hao Shen;Feng Li;Bo Chen-;Junwei Lu
针对一类网络化广义马尔可夫切换离散时间系统，研究了有限时间能量峰值滤波问题。在所考虑的系统中，系统模式信息是通过不可靠的通信链路传输的，其中丢包现象、可用于过滤器的模式信息以及过滤器模式和系统模式之间的异步现象以一定的概率随机发生，并由一些伯努利分布的白序列变量来描述。目标是设计一种统一的滤波器，包括模式无关滤波器、异步滤波器和模式相关滤波器，以便在存在这些随机现象的情况下，估计误差系统是有限时间有界的，同时满足固定的能量峰值性能要求。通过使用概率依赖的Lyapunov-Krasovskii函数，建立了一些充分判据来确保所处理问题的可行解。此外，利用一种新的简单的矩阵解耦方法，获得了滤波增益。最后，通过数值算例和仿真验证了该方法的可行性。
For a class of networked singular Markov switched discrete-time systems, this work investigates the finite-time energy-to-peak filtering problem. The system modes information is transmitted though an unreliable communication link in the systems under consideration, where the packet dropout phenomenon, modes information available to the filter and asynchronous phenomenon between filter modes and system modes are randomly occurring with a certain probability and described by some Bernoulli distributed white sequence variables. The objective is focused on designing a unified filter, which covers mode-independent filter, asynchronous filter and mode-dependent filter, so that the estimation error system is finite-time bounded while meets a fixed energy-to-peak performance requirement in the presence of those stochastic phenomena. By employing a probability-dependent Lyapunov–Krasovskii function, some sufficient criteria are established to make sure that there is a feasible solution to the addressed problem. Moreover, with the help of a novel simple matrix decoupling approach, the filter gains are obtained. In the end, we employ a numerical example with simulation to show the serviceability of the presented method.