Asynchronous Learning-Based Output Feedback Sliding Mode Control for Semi-Markov Jump Systems: A Descriptor Approach  

作　　者：Zheng Wu Yiyun Zhao Fanbiao Li Tao Yang Yang Shi Weihua Gui 

机构地区：[1]School of Automation,Central South University,Changsha 410083,China [2]Power Electronics,Machines and Control Group,The University of Nottingham,Nottingham NG72RD,UK [3]Department of Mechanical Engineering,University of Victoria,Victoria BC V8W 3P6,Canada [4]IEEE

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第6期1358-1369,共12页自动化学报（英文版）

基　　金：supported in part by the National Science Fund for Excellent Young Scholars of China(62222317);the National Science Foundation of China(62303492);the Major Science and Technology Projects in Hunan Province(2021GK1030);the Science and Technology Innovation Program of Hunan Province(2022WZ1001);the Key Research and Development Program of Hunan Province(2023GK2023);the Fundamental Research Funds for the Central Universities of Central South University(2024ZZTS0116)。

摘　　要：This paper presents an asynchronous output-feed-back control strategy of semi-Markovian systems via sliding mode-based learning technique.Compared with most literature results that require exact prior knowledge of system state and mode information,an asynchronous output-feedback sliding sur-face is adopted in the case of incompletely available state and non-synchronization phenomenon.The holonomic dynamics of the sliding mode are characterized by a descriptor system in which the switching surface is regarded as the fast subsystem and the system dynamics are viewed as the slow subsystem.Based upon the co-occurrence of two subsystems,the sufficient stochastic admissibility criterion of the holonomic dynamics is derived by utilizing the characteristics of cumulative distribution functions.Furthermore,a recursive learning controller is formulated to guarantee the reachability of the sliding manifold and realize the chattering reduction of the asynchronous switching and sliding motion.Finally,the proposed theoretical method is substantia-ted through two numerical simulations with the practical contin-uous stirred tank reactor and F-404 aircraft engine model,respectively.

关 键 词：Asynchronous switching learning-based control output feedback semi-Markovian jump systems sliding mode con-trol(SMC). 

分 类 号：O211.62[理学—概率论与数理统计] O231[理学—数学]