Sliding Mode Sampled Control for Markovian Jump Systems

被引:0
作者
Xu, Tianshu [1 ]
Cao, Zhiru [2 ]
Chen, Bei [3 ]
Niu, Yugang [1 ]
机构
[1] East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China
[2] Shanghai Univ, Sch Mech Engn & Automat 2, Shanghai, Peoples R China
[3] Shanghai Univ Engn Sci, Shanghai, Peoples R China
来源
2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2023年
关键词
Markovian jump systems; sampled control; input-delay method; the mean-square exponential ultimate boundedness; STABILIZATION;
D O I
10.1109/CCDC58219.2023.10326605
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 work discusses the problem of sliding mode sampled control for Markovian jump systems (MJSs), in which the system state is sampled via two randomly switching periods. By means of the input-delay approach, the controlled MJSs is modeled as a continuous time-delay system. A mode-dependent sliding mode sampled controller is designed to achieve the mean-square exponential ultimate boundedness and the reachability of the specified sliding surface. Meanwhile, the corresponding sufficient conditions are derived and an optimization solving algorithm is provided. Finally, simulation results via a boost converter circuit are provided to illustrate the designed control scheme.
引用
收藏
页码:2206 / 2210
页数:5
相关论文
共 19 条
[1]  
Cao Z., 2020, IEEE T SYST MAN CYB, V51, P7752
[2]   Mean square exponential stabilization of sampled-data Markovian jump systems [J].
Chen, Guoliang ;
Sun, Jian ;
Chen, Jie .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (18) :5876-5894
[3]   Robust sampled-data stabilization of linear systems: an input delay approach [J].
Fridman, E ;
Seuret, A ;
Richard, JP .
AUTOMATICA, 2004, 40 (08) :1441-1446
[4]   Robust sampled-data H∞ control with stochastic sampling [J].
Gao, Huijun ;
Wu, Junli ;
Shi, Peng .
AUTOMATICA, 2009, 45 (07) :1729-1736
[5]   Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy [J].
Guan, Chaoxu ;
Fei, Zhongyang ;
Feng, Zhiguang ;
Shi, Peng .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 38
[6]   Robust sampled-data control for Markovian jump linear systems [J].
Hu, Li-Sheng ;
Shi, Peng ;
Frank, Paul M. .
AUTOMATICA, 2006, 42 (11) :2025-2030
[7]  
Kanchanaharuthai A, 2002, SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, P2042, DOI 10.1109/SICE.2002.1196647
[8]   Sliding mode control design under multiple nodes round-robin-like protocol and packet length-dependent lossy network [J].
Li, Jiarui ;
Niu, Yugang ;
Song, Jun .
AUTOMATICA, 2021, 134
[9]   Estimation with unknown inputs and uncertainties for sampled-data systems based on quasi sliding mode [J].
Nguyen, Thang ;
Edwards, Christopher ;
Herrmann, Guido .
INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (11) :3068-3078
[10]   Output Feedback Sliding Mode Control for Sampled-Data Systems [J].
Nguyen, Thang ;
Su, Wu-Chung ;
Gajic, Zoran .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (07) :1684-1689