Sliding mode control for consensus tracking of second-order nonlinear multi-agent systems driven by Brownian motion  

作　　者：Birong ZHAO Yunjian PENG Yanan SONG Ruwen QIN 

机构地区：[1]School of Mathematics and Information Science, Guangzhou University [2]School of Automation, South China University of Technology [3]College of Automation, Guangdong University of Technology [4]Department of Engineering Management and Systems Engineering,Missouri University of Science and Technology

出　　处：《Science China(Information Sciences)》2018年第7期147-154,共8页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 61573154, 61573156);partly supported by Science and Technology Project of Guangdong Province (Grant Nos. 2015A010106003, 2014A020217015)

摘　　要：The consensus tracking problem of nonlinear stochastic multi-agent systems with directed topologies is investigated in this study. To solve the consensus tracking problem, first, an innovative concept of sub-reachability is introduced, and then, the specified sliding hyperplane is designed. A novel consensus tracking protocol is then proposed by using sliding mode techniques. With the help of It？o integral techniques and stochastic Lyapunov method, the sub-reachability of sliding motion and consensus tracking are proved;that is, the sliding mode variable structure control protocol steers the consensus errors to the given sliding surface in a finite time, and the sliding motion is exponentially stable in the sense of mean square. The efficacy of the proposed method is tested by a numerical case.The consensus tracking problem of nonlinear stochastic multi-agent systems with directed topologies is investigated in this study. To solve the consensus tracking problem, first, an innovative concept of sub-reachability is introduced, and then, the specified sliding hyperplane is designed. A novel consensus tracking protocol is then proposed by using sliding mode techniques. With the help of It？o integral techniques and stochastic Lyapunov method, the sub-reachability of sliding motion and consensus tracking are proved;that is, the sliding mode variable structure control protocol steers the consensus errors to the given sliding surface in a finite time, and the sliding motion is exponentially stable in the sense of mean square. The efficacy of the proposed method is tested by a numerical case.

关 键 词：stochastic nonlinear multi-agent systems sub-reachability sliding hyperplane sliding mode variable structure control protocol ito integral techniques consensus tracking errors 

分 类 号：O231[理学—运筹学与控制论]