H∞ Containment Control of Multi-agent Systems with Random Communication Time-varying Delay

2019 ◽  
Vol 18 (4) ◽  
pp. 922-929
Author(s):  
Minhong He ◽  
Xiaowu Mu
Author(s):  
Tao Li ◽  
Zhipeng Li ◽  
Haitao Zhang ◽  
Shumin Fei

This paper considers the problem on formation tracking control of second-order multi-agent systems (MASs) with communication time-varying delay. Sufficient conditions on the directed interaction topology and existence of the feedback gains to ensure the desired control are presented. Through choosing two augmented Lyapunov–Krasovskii (L–K) functionals and using some novel Wirtinger-based integral inequalities, the previously ignored information can be reconsidered and the application area of derived results can be greatly extended. Moreover, a novel constructive technique is given to compute out the controller gain by resorting to solving the achieved linear matrix inequalities (LMIs). Finally, a numerical example with comparisons and simulations is provided to illustrate the obtained results.


2016 ◽  
Vol 07 (01) ◽  
pp. 9-15 ◽  
Author(s):  
Fenglan Sun ◽  
Rui Wang ◽  
Yongfu Li ◽  
Feng Liu

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