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| Fast Convergence for Flocking Motion of Discrete Time Multi-Agent Systems |
| YANG Yize,YANG Hongyong,LIU Fan
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1.School of Information and Electrical Engineering, Ludong University, Yantai 264025, China;
2.School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, Australia |
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Abstract As a main application branch of distributed systems, the dynamic characteristics of multi-agent systems have attracted the attention of researchers in many fields. For discrete-time flocking problems of networked systems with multiple leaders, a kind of containment control algorithms converged in finite time is presented in this paper. Based on modern control theory, algebraic graph theory and linear matrix inequality, the proposed control algorithm is analyzed theoretically. The convergence condition is also obtained to ensure the flocking motion in the finite time for discrete-time multi-agent systems. The motion state of the dynamic multi-agent systems to realize the containment control is analyzed. The sufficient condition of the system to achieve finite time convergence is discussed under ideal conditions. Finally, the system simulation results are given to illustrate the correctness of the conclusion.
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Received: 02 December 2017
Published: 10 January 2019
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