This article is primarily concerned with the collaborative optimization design issue of the asynchronous filter and the event-based trigger for discrete-time nonlinear Markov jump systems modeled by the Takagi-Sugeno fuzzy model. In the network environment, an event-based trigger is introduced to reduce communication consumption while the hidden Markov model approach is utilized to express the asynchronous phenomenon between the filter and the plant. Based on this framework, using the parameter-dependent Lyapunov function and matrix inequality techniques, the H_∞ and L₂ − L_∞ asynchronous filter design schemes are developed such that the resulting filtering error dynamic system can be randomly mean square stable and satisfy a preset noise attenuation performance. Furthermore, an iterative optimization algorithm is presented to collaboratively solve the optimal parameters of the filter and the trigger. At last, a tunnel-diode circuit is employed to verify the validity of our design schemes.

本文主要关注由 Takagi-Sugeno 模糊模型建模的离散时间非线性马尔可夫跳跃系统的异步滤波器和基于事件的触发器的协同优化设计问题。在网络环境中，引入基于事件的触发器来减少通信消耗，同时利用隐马尔可夫模型方法来表达过滤器和被控对象之间的异步现象。在此框架基础上，利用参数相关的Lyapunov函数和矩阵不等式技术，开发了H _∞和L ₂ − L _∞异步滤波器设计方案，使得所得的滤波误差动态系统能够随机均方稳定并满足预设值噪声衰减性能。此外，提出了一种迭代优化算法来协同求解滤波器和触发器的最优参数。最后，采用隧道二极管电路验证了设计方案的有效性。