Circular formation tracking control for time-delayed second-order multi-agent systems with multiple leaders

2016 ◽  
Author(s):  
Liang Han ◽  
Xiwang Dong ◽  
Ke Yi ◽  
Qingke Tan ◽  
Qingdong Li ◽  
...  
Keyword(s):  
Tracking Control ◽  
Second Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Formation Tracking ◽  
Multi Agent ◽  
Multiple Leaders

Formation Tracking Control of Second-Order Multi-Agent Systems With Time-Varying Delay

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Tao Li ◽  
Zhipeng Li ◽  
Haitao Zhang ◽  
Shumin Fei
Keyword(s):  
Tracking Control ◽  
Second Order ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Time Varying Delay ◽  
Formation Tracking ◽  
Communication Time ◽  
Multi Agent ◽  
Varying Delay

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.

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