Guaranteed cost control for a class of networked control systems with Markov delays

Weilai Jiang, Chaoyang Dong, Erzhuo Niu, Qing Wang
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引用次数: 0

Abstract

This note investigates the modeling and guaranteed cost control for a class of networked control systems (NCSs) with random Markov delays. The delay processes in the sensor-to-controller and controller-to-sensor are modeled as two Markov chains and a jump linear system model is established. By using the Lyapunov theory and the linear matrix inequality (LMI) technique, the sufficient condition for the stochastic stability of the closed-loop NCS is derived. Furthermore, the design method for the guaranteed cost control law is presented via the cone complementary linearization method. Finally, the numerical example demonstrates the validity of the proposed method.
一类具有马尔可夫延迟的网络控制系统的保成本控制
本文研究了一类具有随机马尔可夫延迟的网络控制系统(ncs)的建模和保证成本控制。将传感器到控制器和控制器到传感器的时滞过程建模为两条马尔可夫链,建立了跳变线性系统模型。利用李雅普诺夫理论和线性矩阵不等式(LMI)技术,导出了闭环网络控制系统随机稳定的充分条件。在此基础上,利用圆锥互补线性化方法,给出了保证成本控制律的设计方法。最后,通过数值算例验证了所提方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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