H_∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances

详细信息    查看全文

• 作者：Lin Zhao ; ^a ; ^{zhaolin1585@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yingmin Jia^b ; ^{ymjia@buaa.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jinpeng Yu^a ; ^{yjp1109@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Junping Du^c ; ^{junpingdu@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Multi-agent systems ; Scaled consensus ; H&infin ; sliding mode control ; External disturbances
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：292
• 期：Complete
• 页码：375-389
• 全文大小：854 K

文摘

This paper studies the scaled consensus control problem of networked multi-agent systems with linear coupling dynamics and external disturbances. A state feedback based distributed H_∞ sliding mode control (SMC) approach is firstly established by designing integral-type sliding function, and a linear matrix inequality (LMI) based sufficient condition is given, which can guarantee the states of all agents achieving scaled consensus with H_∞ disturbance attenuation index on sliding surface. A distributed adaptive SMC law with adaptive updated law is proposed such that the sliding surface is reachable. Then, the output feedback based distributed H_∞ SMC is considered by designing distributed observer, and a SMC law is synthesized for the reaching motion based on the state estimates. A LMI based sufficient condition for the scaled consensus with H_∞ disturbance attenuation index of the overall closed-loop system is derived. At last, the proposed distributed H_∞ SMC is further extended to solve the scaled consensus control problem of networked multi-agent systems under switching topology. An example is included to show the effectiveness of the proposed methods.