School of Electronics and Information, Nantong University, Jiangsu, 226019, PR China; Department of Electrical Engineering, Yeungnam University, Kyongson, 38541, Republic of Korea; School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, PR China.
School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, PR China; Department of Electrical Engineering, Yeungnam University, Kyongson, 38541, Republic of Korea.
ISA Trans. 2018 Jun;77:112-121. doi: 10.1016/j.isatra.2018.03.025. Epub 2018 Apr 26.
In this paper, the event-triggered H filtering problem for discrete-time switched linear systems is addressed. The filter and the system are connected via a communication network, and the transmitted information of system output and switching signal is determined by an event-triggered transmission scheme, which contains system mode dependent parameters. Consequently, the asynchronous switching between the filter and the system occurs, and the filtering error system is modeled as a switched system with augmented switching signal by using the merging switching signal technique. Then, by the multiple Lyapunov function method, a new sufficient condition is obtained such that the filtering error system is exponentially asymptotically stable and satisfies the weighted H performance. Finally, the design method for the filter and event-triggered parameters is proposed by solving a set of linear matrix inequalities. Numerical simulations illustrate the effectiveness of the proposed approach.
本文针对离散时间切换线性系统的事件触发 H 滤波问题进行了研究。滤波器和系统通过通信网络连接，系统输出和切换信号的传输信息由一个事件触发传输方案确定，该方案包含与系统模式相关的参数。因此，滤波器和系统之间会发生异步切换，并且通过使用合并切换信号技术，将滤波误差系统建模为具有增强切换信号的切换系统。然后，通过多 Lyapunov 函数方法，得到了一个新的充分条件，使得滤波误差系统指数渐近稳定，并满足加权 H 性能。最后，通过求解一组线性矩阵不等式，提出了滤波器和事件触发参数的设计方法。数值仿真验证了所提方法的有效性。
