拒绝服务攻击下的多输入多输出非线性系统无模型自适应控制

Model free adaptive control for multiple input and multiple output nonlinear systems under denial-of-service attacks

针对多输入多输出(MIMO)非线性离散时间系统,研究系统遭受拒绝服务(DoS)攻击和随机发生数据包丢失下的控制问题.首先采用两个独立的伯努利分布对周期性DoS攻击和随机发生的数据包丢失进行建模.其次结合DoS攻击设计无模型自适应控制(MFAC)算法,进而通过理论分析和数学推导证明所提算法的收敛性.并且通过结合先前时刻数据设计一种补偿算法对系统输出进行补偿,从而抵消DoS攻击和随机丢包的影响,减小系统超调量,加快收敛速度使系统可以更快的达到期望输出.最后,通过两个仿真实例验证了算法的有效性.

This paper considers the control problem for multiple input and multiple output(MIMO) nonlinear discrete time systems against occurring periodic denial of service(DoS) attacks and random packet loss. Firstly, two independent Bernoulli distributions are applied to model the periodic DoS attacks and random packet loss. Then a model free adaptive control(MFAC) algorithm is designed based on the DoS attacks. Meanwhile, the convergence of the proposed algorithm is proved by theoretical analysis and mathematical derivation. Furthermore, a compensation algorithm is designed to compensate the system output by combining with the previous data to offset the impact of DoS attacks and random packet loss, reduce the system overshoot, accelerate the convergence rate, so that the system can achieve the desired output faster.Finally, the simulation results verify the effectiveness of the proposed algorithm.