Abstract:

This study analyzes the security fuzzy control problem of time-delay systems under network attacks and investigates the security control problem of time-delay fuzzy systems with sensor saturation, dynamic network scheduling, Randomly Occurring Deception Attacks (RODA), and infinite distributions. A measurement output model is established that could uniformly describe RODA and sensor saturation. To effectively reduce the burden of network communication, the Try-Once-Discard (TOD) protocol is adopted to schedule network nodes. The objective is to design an elastic fuzzy safety controller that enables the control system to satisfy the specified safety requirements when there are simultaneous RODA, sensor saturation, and TOD protocols. Using stability theory, matrix theory, and stochastic analysis techniques, this study first derives sufficient conditions for the control system to meet safety requirements and then obtains the controller gain by solving Linear Matrix Inequalities (LMI). Finally, the feasibility of the proposed design scheme is demonstrated through a numerical example. Experimental results demonstrate that the designed secure and resilient fuzzy controller is robust against network attacks.

Key words: fuzzy systems, sensor saturation, deception attacks, resilient controller, secure control, infinite-distributed delays

摘要：

针对在网络攻击情形下时滞系统的安全模糊控制问题，研究具有传感器饱和、动态网络调度、随机发生的欺骗攻击（RODA）和无穷分布时滞模糊系统的安全控制问题。建立了能统一描述RODA和传感器饱和的测量输出模型。为了有效减小网络通信负担，采用尝试一次丢弃（TOD）协议对网络节点进行调度。设计一个弹性模糊安全控制器，使得当同时存在RODA、传感器饱和及TOD协议时，控制系统能达到规定的安全要求。根据稳定性理论、矩阵论、随机分析技术等，首先导出控制系统满足安全要求的充分条件，然后通过求解线性矩阵不等式（LMI）来获得控制器增益。最后，通过一个数值例子证明了所提设计方案的可行性。实验结果表明，所设计的安全弹性模糊控制器能够有效应对网络攻击。

关键词: 模糊系统, 传感器饱和, 欺骗攻击, 弹性控制器, 安全控制, 无穷分布时滞