In this paper, mean-square leader-following consensus for multi-agent systems is considered. In particular, nonidentical channel fading is involved in the systems which makes the consensus problem much more difficult. To overcome the difficulty, a novel distributed consensus protocol is proposed containing the relative measurement information and a feedforward controller. By applying a parameterized Riccati inequality and defining a Lyapunov function, sufficient conditions for the leader-following consensusability are derived. Moreover, both sufficient and necessary conditions are obtained for the scalar multi-agent systems. At last, two simulation examples are provided to show the correctness of the proposed results.

中文翻译：

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具有不同信道衰落的离散时间多智能体系统的领导者跟随共识


在本文中，考虑了多智能体系统的均方领导者跟随共识。特别是，系统中涉及不同的信道衰落，这使得共识问题变得更加困难。为了克服这个困难，提出了一种新颖的分布式共识协议，其中包含相对测量信息和前馈控制器。通过应用参数化 Riccati 不等式并定义 Lyapunov 函数，得出了领导者追随共识性的充分条件。此外，还获得了标量多智能体系统的充分必要条件。最后提供了两个仿真例子来说明所提结果的正确性。