This paper investigates the adaptive distributed tracking control problem for a class of interconnected nonlinear systems with communication constraints where the subsystems are allowed to exchange output information only when the tracking error exceeds a given threshold. Considering the communication constraints problem, a novel adaptive distributed control method is developed. In this framework, a fuzzy adaptive controller is designed within a given compact set to compensate the unknown mismatching interconnections. Specially, to achieve the global tracking performance, a robust controller is activated outside the compact set to pull back the system states. By using the Lyapunov stability theory and the $\sigma$-modification technique, it is proven that the tracking errors are globally asymptotically convergent and all the signals in the resulting closed-loop system are bounded. Finally, the effectiveness of the proposed method is demonstrated by two examples.

中文翻译：

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具有通信约束的互联非线性系统的全局自适应模糊分布式跟踪控制

本文研究了一类具有通信约束的互连非线性系统的自适应分布式跟踪控制问题，其中子系统仅在跟踪误差超过给定阈值时才允许交换输出信息。针对通信约束问题，提出了一种新的自适应分布式控制方法。在这个框架中，模糊自适应控制器是在给定的紧凑集合内设计的，以补偿未知的不匹配互连。特别地，为了实现全局跟踪性能，在紧凑集之外激活一个鲁棒控制器来拉回系统状态。通过使用 Lyapunov 稳定性理论和 $\sigma$-modification 技术，证明了跟踪误差是全局渐近收敛的，并且由此产生的闭环系统中的所有信号都是有界的。最后，通过两个例子证明了所提出方法的有效性。