A Stackelberg strategy for continuous-time mixed H2/H∞ control problem with time delay

• 作 者: Xiaoqian LI Wei WANG Juanjuan XU Huanshui ZHANG
• 机 构: School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China
• 出 处: 控制理论与技术（英文版）
• 发表日期: 2018年3期
• 关键词: Mixed H2/H∞ control continuous-time system Stackelberg strategy time delay

This paper is conced 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.