Leader-Following Consensus for Double-Integrator Multi-Agent Systems via Sampled Output Feedback

Author(s):  
Ying Zhang ◽  
Youfeng Su
2019 ◽  
Vol 42 (7) ◽  
pp. 1323-1333
Author(s):  
Shuang Liang ◽  
Zhongxin Liu ◽  
Zengqiang Chen

In this paper, the leader-following [Formula: see text] consensus problem for discrete-time nonlinear multi-agent systems with delay and parameter uncertainty is investigated, with the objective of designing an output feedback protocol such that the multi-agent system achieves leader-following consensus and has a prescribed [Formula: see text] performance level. By model transforming, the leader-following consensus control problem is converted into robust [Formula: see text] control problem. Based on the Lyapunov function technology and the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of discrete-time nonlinear multi-agent systems. The feedback gain matrix and the optimal [Formula: see text] performance index are obtained in terms of linear matrix inequalities. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.


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