Li Qi, Zhi Yufu, Tan Hailong, Sheng Weiguo
School of Information Science and Technology, Hangzhou Normal University, Hangzhou 311121, China.
School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, China; Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China.
ISA Trans. 2022 Nov;130:667-674. doi: 10.1016/j.isatra.2022.07.023. Epub 2022 Jul 20.
This paper is concerned with the dynamic event-triggered set-membership state estimation issue for a class of multirate networked systems subject to unknown but bounded disturbance and noise. To economize the limited communication resource when performing the desired networked estimation task, a dynamic event-triggered transmission mechanism is proposed to significantly reduce the frequency of sensor data transmissions. A key issue of the addressed problem is to construct a zonotopic outer approximation set to bound the set of states that are consistent with the disturbed system model and the noisy measured outputs. With the help of a prediction-update-correction method, we design a zonotope that is guaranteed to enclose all possible system states due to the unknown disturbance and noise. Then, the size of such a zonotope is minimized by properly designing an introduced correlation matrix at each iteration. Subsequently, the estimation performance is analyzed under the developed zonotopic estimation method. A sufficient condition is further established to ensure the boundedness of the size of the obtained zonotope. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
本文关注一类存在未知但有界干扰和噪声的多速率网络系统的动态事件触发集成员状态估计问题。为了在执行期望的网络估计任务时节省有限的通信资源，提出了一种动态事件触发传输机制，以显著降低传感器数据传输的频率。所解决问题的一个关键是构造一个 zonotopic 外逼近集，以界定与受干扰系统模型和有噪声测量输出一致的状态集。借助预测 - 更新 - 校正方法，我们设计了一个 zonotope，由于未知干扰和噪声，它能保证包含所有可能的系统状态。然后，通过在每次迭代中适当设计引入的相关矩阵，使这种 zonotope 的大小最小化。随后，在已开发的 zonotopic 估计方法下分析估计性能。进一步建立了一个充分条件，以确保所获得 zonotope 大小的有界性。最后，给出一个示例来说明所提方法的有效性。
