曲阜师范大学学报（自然科学版）2024，Vol.50Issue(1)：16-25,10.DOI:10.3969/j.issn.1001-5337.2024.1.016
马尔可夫跳变系统的奇异自适应滑模控制
Singular adaptive sliding mode control for Markovian jump systems
摘要
Abstract
In this paper,the problem of adaptive sliding mode control for continuous-time Markovian jump systems with partially known transition probabilities and matched nonlinearities and matched exter-nal disturbances is investigated by using a singular system method.Firstly,the integral-type sliding mode surface is designed according to the singular system approach and the singular Markovian jump system is obtained by combining the original system and the sliding mode dynamics.Secondly,sufficient conditions to guarantee the stochastic admissibility of singular Markovian jump systems are given in the form of linear matrix inequalities.Then,the adaptive control is combined to ensure the reaching conditions of the state trajectory.Finally,the effectiveness of the results is verified by a simulation case.关键词
马尔可夫跳变系统/积分型滑模面/自适应滑模控制/转移速率部分已知Key words
Markovian jump systems/integral-type sliding mode surface/adaptive sliding mode con-trol/partially known transition probabilities分类
数理科学引用本文复制引用
张秦诚,魏云亮,任帅帅..马尔可夫跳变系统的奇异自适应滑模控制[J].曲阜师范大学学报（自然科学版）,2024,50(1):16-25,10.基金项目
山东省高等学校青创科技计划(2019KJI007). （2019KJI007）
