Abstract
This paper studies the consensus problem of multi-agent systems with input saturation and directed communication topology, by utilizing the low-gain feedback method and the event-triggered control laws. Two event-triggered control laws, the centralized and the distributed laws, are proposed to guarantee semi-global consensus of the multi-agent systems. Then, a sufficient condition is presented to prove strictly positive low bound of inner-event time, i.e., the Zeno behavior can be avoided. Finally, the effectiveness of the proposed event-triggered laws is further verified by an example.
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Recommended by Associate Editor Sun Jin Yoo under the direction of Editor Jessie (Ju H.) Park. This work was supported by the Scientific Research Program of the Higher Education Institution of Xinjiang (grant nos. XJEDU2017T001, XJEDU2018Y004), the Doctoral Foundation of Xinjiang University (Grant No. 62008032), and the National People’s Republic of China (Grants Nos. U1703262, 61563048).
Siyu Chen was born in Heilongjiang, China, in 1994. He received his B.S. degree in Information and Computing Science from Heze University, Shandong, in 2017, where he is currently pursuing an M.S. degree in mathematics from Xinjiang University, Xinjiang, China. His current research interests include consensus problems and control theory.
Haijun Jiang was born in Hunan, China, in 1968. He received his B.S. degree from the Department of Mathematics, Yili Teacher College, Xinjiang, China, in 1990, an M.S. degree from the Department of Mathematics, East China Normal University, Shanghai, China, in 1994, and a Ph.D. degree from the College of Mathematics and System Sciences, Xinjiang University, Xinjiang, in 2004. He was a Post-Doctoral Research Fellow with the Department of Southeast University, Nanjing, China, from 2004 to 2006. He is a Professor and a Doctoral Advisor of Mathematics and System Sciences with Xinjiang University. His current research interests include nonlinear dynamics, delay differential equations, dynamics of neural networks, and mathematical biology.
Zhiyong Yu was born in Gansu, China, in 1991. He received his M.S. degree in mathematics and his Ph.D. degree in operations research and control theory from the College of Mathematics and System Sciences, Xinjiang University, Xinjiang, China, in 2015 and 2018, respectively. His current research interests include consensus problems in multiagent systems and synchronization of complex dynamical networks.
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Chen, S., Jiang, H. & Yu, Z. Fully Distributed Event-triggered Semi-global Consensus of Multi-agent Systems with Input Saturation and Directed Topology. Int. J. Control Autom. Syst. 17, 3102–3112 (2019). https://doi.org/10.1007/s12555-018-0897-9
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DOI: https://doi.org/10.1007/s12555-018-0897-9