Title: Resilient Distributed Control for Uncertain Nonlinear Interconnected Systems under Network Anomaly Show Chinese title

Title: 具有网络异常的不确定非线性互联系统的弹性分布式控制

Abstract: We address a distributed adaptive control methodology for nonlinear interconnected systems possibly affected by network anomalies. In the framework of adaptive approximation, the distributed controller and parameter estimator are designed by exploiting a backstepping approach. The stability of the distributed control system under anomalies is analyzed, where both local and neighboring anomaly effects are considered. To quantify the resilience of the interconnected system under the action of network anomalies, we derive bounds on the duration of each anomaly and the resting time between two consecutive anomalies. Specifically, when each anomaly duration is smaller than our designed upper bound, the interconnected system controlled by the distributed approximation-based controller remains asymptotically stable. Moreover, if the resting time between two consecutive anomalies is larger than the proposed bound, then all signals of the control system are guaranteed to be bounded. In the paper, we show that under the action of the proposed distributed adaptive controller, the interconnected system remains stable in the presence of network anomalies, with both the qualitative and quantitative resilient conditions. Extensive simulation results show the effectiveness of our theoretical results. Show Chinese abstract

Abstract: 我们针对可能受到网络异常影响的非线性互联系统，提出了一种分布式自适应控制方法。 在自适应逼近的框架下，通过采用反步法设计了分布式控制器和参数估计器。 分析了在异常情况下的分布式控制系统的稳定性，其中考虑了局部和相邻异常的影响。 为了量化在网络异常作用下互联系统的弹性，我们推导了每次异常的持续时间以及两次连续异常之间的休息时间的界限。 具体而言，当每次异常的持续时间小于我们设计的上界时，由基于分布式逼近的控制器控制的互联系统仍保持渐近稳定。 此外，如果两次连续异常之间的休息时间大于所提出的界限，则控制系统的所有信号都能保证是有界的。 在本文中，我们展示了在所提出的分布式自适应控制器的作用下，互联系统在存在网络异常的情况下仍然保持稳定，同时满足定性和定量的弹性条件。 大量的仿真结果表明了我们理论结果的有效性。