Chen Menghua, Sun Jian, Karimi Hamid Reza
IEEE Trans Cybern. 2020 Dec;50(12):5061-5073. doi: 10.1109/TCYB.2019.2932677. Epub 2020 Dec 3.
This article discusses the issue of input-output finite-time generalized dissipative filter design for a class of discrete time-varying systems. First, an adaptive event-triggered mechanism (AETM) with an adaptive law is proposed to adjust the threshold in the AETM according to the error between the system states and the filter states. Such an AETM determines whether the measurement output should be transmitted or not, which is more effective to economize the communication resources comparing with the traditional event-triggered mechanism. Second, in view of network-induced delays, the quantization and the AETM, a time-varying filter error system (TV-FES) is modeled. Then, a new augmented time-varying Lyapunov functional containing triple sum terms is provided. Based on the new finite-sum inequality and improved reciprocally convex combination lemma, delay-dependent conditions are obtained, which can ensure the TV-FES to be input-output finite-time stable and satisfy the given generalized dissipative performance. Moreover, the recursive linear matrix inequalities are presented to obtain the desired filter gains. Finally, numerical examples demonstrate the superiority and feasibility of the proposed method in this article.
本文讨论了一类离散时变系统的输入输出有限时间广义耗散滤波器设计问题。首先，提出了一种带有自适应律的自适应事件触发机制（AETM），根据系统状态与滤波器状态之间的误差来调整AETM中的阈值。这种AETM确定测量输出是否应该传输，与传统的事件触发机制相比，它在节省通信资源方面更有效。其次，考虑到网络诱导延迟、量化和AETM，建立了一个时变滤波器误差系统（TV-FES）。然后，提供了一个包含三重和项的新的增广时变Lyapunov泛函。基于新的有限和不等式和改进的互易凸组合引理，得到了延迟依赖条件，该条件可以确保TV-FES是输入输出有限时间稳定的，并满足给定的广义耗散性能。此外，还给出了递归线性矩阵不等式以获得期望的滤波器增益。最后，数值例子证明了本文所提方法的优越性和可行性。
