离散时间状态时滞系统RHC镇定控制  

RHC Stabilization Control for Discrete-time State Delay Systems

作　　者：王晓静 刘晓华 WANG Xiaojing;LIU Xiaohua(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2020年第2期105-109,共5页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(61873332)。

摘　　要：本文研究了离散时间状态时滞系统的RHC(receding horizon control)镇定问题.构造了一个条件期望形式的性能指标,得到了系统可镇定的充分条件:性能指标中的加权矩阵满足给定的矩阵不等式,并且该矩阵不等式可以转化为线性矩阵不等式进行求解.在满足可镇定的条件下,利用极值原理和线性二次最优控制的方法,求出显式的RHC镇定控制器.The RHC stabilization problem for discrete-time systems with state delay is studied.A cost function in the form of conditional expectation is constructed,and a sufficient condition for stabilization of the system is obtained:the weighted matrix in the cost function satisfies the given matrix inequality,which can be solved by transforming to linear matrix inequality.An explicit RHC stabilization controller is obtained by using the extremum principle and the linear quadratic regulation method.

关 键 词：状态时滞 RHC 镇定 离散时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]