一类时变时滞不确定离散系统的预见跟踪控制
Preview Tracking Control for a Class of Uncertain Discrete-Time System with Time-Varying Delay
DOI: 10.12677/DSC.2018.73022, PDF,    国家自然科学基金支持
作者: 范 蓉, 王为群：南京理工大学理学院，江苏 南京；姚 娟：南京理工大学自动化学院，江苏 南京
关键词: 预见跟踪控制；增广误差系统；时变时滞；多面体不确定系统；线性矩阵不等式；Robust Preview Tracking Control； Augmented Error System； Time-Varying Delay； Polytopic Uncertain Systems； Linear Matrix Inequality
摘要: 本文针对具有时变时滞项的多面体不确定离散时间系统，研究了鲁棒预见跟踪控制问题。首先对时变时滞项作两项近似，并将近似误差看作外部扰动，则将原系统转换成受干扰抑制的常时滞不确定离散系统。其次，基于误差扰动的方法，通过引入一个差分算子导出一个包含可预见信息和外部扰动的增广误差系统。然后利用LMI技术，给出原系统在控制器下，闭环系统渐近稳定的充分条件并通过解LMI得到具有预见跟踪性能的输出反馈控制器。最后，通过数值算例验证了本文结论的有效性。
Abstract: This paper investigates the robust preview tracking control for polytopic uncertain discrete-time systems with time-varying delay. Firstly, a model approximation is adopted to convert the system we considered to a linear discrete-time system with constant-time delay and approximation error, which will be treated as an external disturbance. Then, on the basis of the error system method, the augmented error system that includes preview able reference signal and external disturbance is derived by introducing a difference operator, which transforms the tracking problem into a regulator problem. And then, based on the LMI technique, sufficient condition of the robustly as-ymptotic stability is proposed for output feedback control closed-loop system and the design method of output feedback controller with preview tracking is given. Finally, the numerical simu-lation example illustrates the effectiveness of the results presented in this paper.
文章引用：范蓉, 王为群, 姚娟. 一类时变时滞不确定离散系统的预见跟踪控制[J]. 动力系统与控制, 2018, 7(3): 201-213. https://doi.org/10.12677/DSC.2018.73022

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