College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China.
ISA Trans. 2023 Jun;137:199-209. doi: 10.1016/j.isatra.2023.01.036. Epub 2023 Feb 22.
This article studies finite-time tolerant containment control issue for uncertain nonlinear networked multi-agent systems (MASs) with actuator faults, denial-of-service (DoS) attacks and packet dropouts, under the framework of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy method. Firstly, based on establishing the actuator fault models and introducing Bernoulli random distribution to represent the packet dropouts phenomenon, the IT2 T-S fuzzy network MASs under actuator faults and packet dropouts are constructed as switchable systems according to the attack situations on the communication channels. Secondly, the slack matrix with more information of lower and upper membership functions is introduced in the stability analysis to reduce conservatism. And on basis of Lyapunov stability theory and average dwell-time method, finite-time tolerant containment control protocol is proposed, which makes the follower' states converge to the convex hull controlled by the leaders in finite time. Finally, the effectiveness of the control protocol designed in this article is verified by numerical simulation.
本文研究了具有执行器故障、拒绝服务（DoS）攻击和数据包丢失的不确定非线性网络多智能体系统（MASs）的有限时间容错控制问题，采用了区间型 2（IT2）Takagi-Sugeno（T-S）模糊方法。首先，基于建立执行器故障模型，并引入伯努利随机分布来表示数据包丢失现象，根据通信信道上的攻击情况，将具有执行器故障和数据包丢失的 IT2 T-S 模糊网络 MASs 构建为可切换系统。其次，在稳定性分析中引入了具有更多下、上隶属函数信息的松弛矩阵，以减少保守性。并且基于 Lyapunov 稳定性理论和平均驻留时间方法，提出了有限时间容错控制协议，使得跟随者的状态在有限时间内收敛到由领导者控制的凸包。最后，通过数值仿真验证了本文设计的控制协议的有效性。
