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.
Formation Tracking Control of Second-Order Multi-Agent Systems With Time-Varying Delay
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received November 17, 2017; final manuscript received May 17, 2018; published online June 26, 2018. Assoc. Editor: Ming Xin.
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Li, T., Li, Z., Zhang, H., and Fei, S. (June 26, 2018). "Formation Tracking Control of Second-Order Multi-Agent Systems With Time-Varying Delay." ASME. J. Dyn. Sys., Meas., Control. November 2018; 140(11): 111015. https://doi.org/10.1115/1.4040327
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