A Stackelberg strategy for continuous-time mixed H2/H∞ control problem with time delay
Xiaoqian LI
Wei WANG
Juanjuan XU
Huanshui ZHANG
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.
机标关键词：
资助基金：the National Natural Science Foundation of China()the National Natural Science Foundation of China(61633014)the National Natural Science Foundation of China(61573220)the National Natural Science Foundation of China(61573221)the Fundamental Research Funds of Shandong University(2017JC009)
论文发表日期：2018-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：12( 191-202 )
英文信息