H∞ Consensus Control for Uncertain Stochastic Multi-Agent Systems: A Sliding Mode Approach

被引:0
作者
Zhao Lin [1 ]
Jia Yingmin [2 ]
Yu Jinpeng [1 ]
Wang Na [1 ]
Du Junping [3 ]
机构
[1] Qingdao Univ, Sch Automat & Elect Engn, Qingdao 266071, Peoples R China
[2] Beihang Univ BUAA, Res Div 7, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Sch Comp Sci Technol, Beijing Key Lab Intelligent Telecommun Software &, Beijing 100876, Peoples R China
来源
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年
关键词
Multi-agent systems; Stochastic systems; H-infinity Sliding mode control; External disturbances; SYNCHRONIZATION; NETWORKS; TRACKING; AGENTS;
D O I
暂无
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 studies the consensus control problem of stochastic multi-agent systems subject to unknown state nonlinearities and external disturbances. A novel distributed integral-type sliding surface is constructed for each agent, and a sufficient condition based on linear matrix inequalities (LMIs) is given, which can guarantee the system states are mean-square consensus with H-infinity disturbance attenuation index on sliding surface. Then, a distributed adaptive sliding mode control (SMC) law with updated law is proposed such that the sliding surface is reachable. An example is included to show the effectiveness of the proposed method.
引用
收藏
页码:7873 / 7878
页数:6
相关论文
共 26 条
[1]   Stochastic H2/H∞ control with state-dependent noise [J].
Chen, BS ;
Zhang, WH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (01) :45-57
[2]   Distributed tracking control of leader-follower multi-agent systems under noisy measurement [J].
Hu, Jiangping ;
Feng, Gang .
AUTOMATICA, 2010, 46 (08) :1382-1387
[3]   SMC design for robust H∞ control of uncertain stochastic delay systems [J].
Huang, Lirong ;
Mao, Xuerong .
AUTOMATICA, 2010, 46 (02) :405-412
[4]   Nonfragile observer-based H∞ sliding mode control for Ito stochastic systems with Markovian switching [J].
Kao, Yonggui ;
Li, Wei ;
Wang, Changhong .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (15) :2035-2047
[5]   Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems [J].
Khoo, Suiyang ;
Xie, Lihua ;
Man, Zhihong .
IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2009, 14 (02) :219-228
[6]   On H∞ and H2 performance regions of multi-agent systems [J].
Li, Zhongkui ;
Duan, Zhisheng ;
Chen, Guanrong .
AUTOMATICA, 2011, 47 (04) :797-803
[7]   Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint [J].
Li, Zhongkui ;
Duan, Zhisheng ;
Chen, Guanrong ;
Huang, Lin .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (01) :213-224
[8]   Distributed robust H∞ consensus control in directed networks of agents with time-delay [J].
Lin, Peng ;
Jia, Yingmin ;
Li, Lin .
SYSTEMS & CONTROL LETTERS, 2008, 57 (08) :643-653
[9]   H∞ consensus control for multi-agent systems with linear coupling dynamics and communication delays [J].
Liu, Yang ;
Jia, Yingmin .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (01) :50-62
[10]   Robust integral sliding mode control for uncertain stochastic systems with time-varying delay [J].
Niu, YG ;
Ho, DWC ;
Lam, J .
AUTOMATICA, 2005, 41 (05) :873-880