It poses technical difficulty to achieve distributed consensus tracking control with input quantizations and deception attacks for nonlinear multi-agent systems subject to mismatched parametric uncertainties via backstepping design. The underlying problem becomes even more complicated because ) the system contains mismatched uncertainties; ) the output becomes unavailable after attacks, making the conventional recursive control design strategy using traditional error surfaces unsuitable; ) since only the compromised output signal is available, the impacts of nonlinear items related to unknown attack weights become difficult to be explicitly addressed in the existing available output feedback control results. In this paper, we present a solution to circumvent these obstacles by constructing a set of new K-filters using compromised output only, which, together with a coordinate transformation involving the attacked output and filter variables, allow a new form of backstepping based distributed resilient adaptive control protocol to be developed. Meanwhile, an extra compensation term is incorporated into the real controller to handle the effect of quantization on the system stability. It is shown that, with proper choices of Lyapunov functions, the global uniform boundedness of all the closed-loop signals and the asymptotically output consensus tracking can be achieved. A practice example is provided to verify the benefits of our scheme.

中文翻译：

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通过 K 滤波器方法处理欺骗攻击的非线性多智能体系统的分布式弹性自适应共识跟踪控制


对于通过反步设计受到不匹配参数不确定性影响的非线性多智能体系统，通过输入量化和欺骗攻击来实现分布式一致性跟踪控制带来了技术难度。根本问题变得更加复杂，因为 ) 系统包含不匹配的不确定性； ) 攻击后输出变得不可用，使得使用传统误差面的传统递归控制设计策略不再适用； ）由于只有受损的输出信号可用，因此与未知攻击权重相关的非线性项的影响变得难以在现有的可用输出反馈控制结果中明确解决。在本文中，我们提出了一种绕过这些障碍的解决方案，通过仅使用受损输出构建一组新的 K 滤波器，该滤波器与涉及受攻击输出和滤波器变量的坐标变换一起，允许一种新形式的基于反步的分布式弹性有待开发的自适应控制协议。同时，在实际控制器中加入了额外的补偿项，以处理量化对系统稳定性的影响。结果表明，通过适当选择李亚普诺夫函数，可以实现所有闭环信号的全局一致有界性和渐近输出一致性跟踪。提供了一个实践示例来验证我们方案的好处。