In this paper two important problems, i.e. Denial of Service (DoS) attack and saturated input, are considered for the TCP/AQM system. The first problem is modelled in a quantitative manner over the system dynamics. Then, Linear Matrix Inequality (LMI) condition for synthesising a Dynamic Output Feedback (DOF) controller with guaranteed cost approach is proposed. The second problem is inherently asymmetric, and a generalised sector condition is derived to obtain stability conditions based on quadratic Lyapunov functions. Sufficient conditions in terms of LMIs for designing the anti-windup compensator are then derived. By solving these LMIs, the controller matrices along with the less bound of the cost function and an appropriate anti-windup compensator are obtained. Through Network Simulator 3 (NS3) the efficiency of the theory is illustrated.

本文考虑了 TCP/AQM 系统的两个重要问题，即拒绝服务 (DoS) 攻击和饱和输入。第一个问题是在系统动力学上以定量方式建模的。然后，提出了用于合成具有保证成本方法的动态输出反馈 (DOF) 控制器的线性矩阵不等式 (LMI) 条件。第二个问题本质上是不对称的，基于二次李雅普诺夫函数推导出广义扇区条件以获得稳定条件。然后导出用于设计抗饱和补偿器的 LMI 方面的充分条件。通过求解这些 LMI，可以获得控制器矩阵以及成本函数的较小界限和适当的抗饱和补偿器。通过网络模拟器 3 (NS3) 说明了理论的效率。