T-S模糊Markov跳变系统的有限时间H∞异步控制OACSTPCD
Asynchronous finite-time H∞ control for Markov jump systems with T-S fuzzy rules
针对一类在Takagi-Sugeno模糊规则下的Markov跳变系统,研究了基于模糊状态反馈控制器的有限时间H∞异步控制问题.采用隐Markov模型刻画了模糊控制器与原系统的异步现象.首先,通过构造Lyapunov函数,运用有限时间有界性和H∞控制理论,得到了闭环系统H∞有限时间有界的充分条件.其次,设计了模糊状态反馈异步控制器,使得闭环系统H∞有限时间有界.最后,通过仿真算例验证了方法的有效性和可行性.
This paper addresses the problem of fuzzy-state-feedback-controller-based finite-time H∞ asynchronous control for a class of Markov jump systems under Takagi-Sugeno fuzzy rules.The hidden Markov model is employed to describe the asynchronization between the fuzzy controller and the original system.Firstly,by means of constructing Lyapunov function,a sufficient condition for H∞ finite-time boundedness of the closed-loop system is obtained by using finite-time boundedness and H∞ control theory.Then,the asynchronous fuzzy state feedback controller is designed,which ensures H∞ finite-time boundedness of the closed-loop system.Finally,a simulation result is demonstrated to verify the effectiveness of the proposed method.
李秀英;姜囡
通化师范学院 数学学院,吉林 通化 134002中国刑事警察学院 声像资料检验技术系,辽宁 沈阳 110854
计算机与自动化
Markov跳变系统模糊规则异步控制H∞有限时间有界
Markov jump systemsfuzzy rulesasynchronous controlH∞ finite-time boundedness
《浙江大学学报（理学版）》 2024 (001)
14-20 / 7
国家自然科学青年基金项目(61304021).
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