Adaptive finite-time H∞ control for singular Markov jump systems with mode-dependent delays
作者单位：School of Mathematics and StatisticsZhengzhou University
会议名称：《第40届中国控制会议》
会议日期：2021年
学科分类：02[经济学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 070103[理学-概率论与数理统计] 071101[理学-系统理论] 0711[理学-系统科学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0714[理学-统计学（可授理学、经济学学位）] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学]
关 键 词：Singular Markov jump systems Mode-dependent delays Finite-time stability Adaptive control H∞ control
摘 要：This paper investigates the adaptive finite-time H∞ control problem for singular Markov jump systems with modedependent delays. Firstly, different from the traditional mode-independent delays, the considered delay factors are modedependent time-varying delays. Additionally, the unknown nonlinearity which may caused by inevitable measurement errors, is considered in the system model. Then, the design scheme of adaptive controller is proposed in this paper. Furthermore, novel sufficient conditions are established to ensure the closed-loop system is regular, impulse-free and stochastically finite-time boundedness with prescribed H∞ performance. Finally, a numerical example is provided to verify the effectiveness of the proposed method.