Asynchronous Control for Discrete-Time Singular Markov Jump Systems With Incomplete Transition Probabilities and Actuator Saturation

被引：0
|
作者：
Zhang, Qian [1 ]
Yan, Huaicheng [2 ]
Tian, Yongxiao [3 ]
Qi, Ping [1 ]
机构：
[1] Tongling Univ, Sch Math & Comp Sci, Tongling, Anhui, Peoples R China
[2] East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai, Peoples R China
[3] Shanghai Univ, Sch Future Technol, Shanghai, Peoples R China
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2025年
基金：
中国国家自然科学基金;
关键词：
asynchronous; incomplete transition probabilities; saturation; singular Markov jump systems; DISTURBANCE; INFINITY; SUBJECT;
D O I：
10.1002/oca.3259
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper discusses the asynchronous control problem for discrete-time singular Markov jump systems (SMJSs) with incomplete transition probabilities (TPs) and actuator saturation. A hidden Markov model (HMM) is employed to characterize the asynchronization behavior between the system and the controller, and the TPs of the system and the controller are not completely known. A convex hull approach is constructed to deal with the saturated non-linearity. Firstly, some sufficient conditions to ensure the system is stochastically admissible (SA) with desired performance are obtained. Secondly, a novel approach is given to design the special structural controllers. Thirdly, the domain of attraction of the system is estimated. Finally, the effectiveness of the proposed approach is illustrated by simulations.
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页数：9
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