ABSTRACT

This paper studies the disturbance rejection and the periodic signal tracking problems for linear systems with unknown exogenous disturbances under limited communication resources. The developed scheme achieves periodic reference tracking and improves the performance of periodic and aperiodic unknown disturbances rejection by incorporating the equivalent-input-disturbance (EID) estimator with the modified repetitive controller (MRC). Furthermore, a periodic event-triggered feedback observer (PETFO) is proposed to reduce the computational burden and energy consumption, and saving communication resources. The PETFO observes the occurrence of a predetermined event or not, where the current data are transmitted only when the event occurs otherwise, there is a zero-order hold keeps the data unchanged. The stability of the overall systems is guaranteed using the Lyapunov Krasovskii functional theory and linear matrix inequalities (LMIs). The observer and the controller gains are designed using the LMI and matrix decomposition approaches. Simulation results illustrate the effectiveness and feasibility of the proposed scheme.

摘要

本文研究了有限通信资源下具有未知外生扰动的线性系统的抗扰和周期信号跟踪问题。所开发的方案通过将等效输入干扰 (EID) 估计器与改进的重复控制器 (MRC) 相结合，实现了周期性参考跟踪并提高了周期性和非周期性未知干扰抑制的性能。此外，提出了一种周期性事件触发反馈观察器（PETFO），以减少计算负担和能源消耗，并节省通信资源。PETFO 观察预定事件的发生与否，其中当前数据仅在事件发生时传输，否则，零阶保持保持数据不变。使用 Lyapunov Krasovskii 泛函理论和线性矩阵不等式 (LMI) 保证了整个系统的稳定性。使用 LMI 和矩阵分解方法设计观察器和控制器增益。仿真结果说明了所提方案的有效性和可行性。