A Stackelberg strategy for continuous-time mixed H2/H∞ control problem with time delay
A Stackelberg strategy for continuous-time mixed H2/H∞ control problem with time delay作者机构：School of Control Science and Engineering Shandong University Jinan Shandong 250061 China
出 版 物：《Control Theory and Technology》 (控制理论与技术（英文版）)
年 卷 期：2018年第16卷第3期
页 面：191-202页
核心收录：
学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 0835[工学-软件工程] 0802[工学-机械工程] 0701[理学-数学] 080201[工学-机械制造及其自动化]
基 金：This work was supported by the National Natural Science Foundation of China (Nos. 61633014 61573220 61573221) and the Fundamental Research Funds of Shandong University (No. 201 7JC009)
主 题：Mixed H2/H∞ control continuous-time system Stackelberg strategy time delay
摘 要：This paper is concerned with the mixed H2/H∞ control with linear continuous time system and time delay. To deal with this, we presents a Stackelberg strategy by treating the control input and the disturbance as leader and follower, respectively. The leader＇s control strategy minimizes the cost function which is in H2 norm and the follower＇s control strategy maximizes the cost function which is in H∞ norm. The main technique of this paper is deal with the noncausal relationship of the variables caused by time delay in the control input by introducing two costates to capture the future information and one state to capture the past information. Through theory analyzing, the Stackelberg strategy exists uniquely. Moreover, with the assistance of the extended state space expression, the explicit expression of the strategy is obtained.
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