International Journal of Control ( IF 2.1 ) Pub Date : 2020-11-30 , DOI: 10.1080/00207179.2020.1849804 Adrian Puerto-Piña 1 , Daniel Melchor-Aguilar 1
ABSTRACT
This paper focuses on the local stability analysis of nonlinear delay models of transmission control protocol/active queue management (TCP/AQM) networks by using a Proportional-Derivative (PD) controller as AQM strategy. More precisely, we derive the complete set of PD controllers that exponentially stabilises the corresponding linear delay system. Nonlinear sufficient stability conditions for the local asymptotic stability of the equilibrium are derived by means of the Lyapunov–Krasovskii functional approach. The robustness issue to uncertainty in the network parameters is also addressed. The results are illustrated by means of some numerical examples.
中文翻译:
TCP网络延迟模型的PD AQM控制稳定性分析
摘要
本文重点研究了传输控制协议/主动队列管理 (TCP/AQM) 网络非线性延迟模型的局部稳定性分析,该模型采用比例微分 (PD) 控制器作为 AQM 策略。更准确地说,我们推导出了一套完整的 PD 控制器,它以指数方式稳定了相应的线性延迟系统。通过 Lyapunov-Krasovskii 泛函方法推导出平衡的局部渐近稳定性的非线性充分稳定性条件。还解决了网络参数不确定性的鲁棒性问题。结果通过一些数值例子来说明。