含丢包和量化的网络控制系统随机鲁棒稳定  

Stochastic Robust Stability of Networked Control Systems with Packet Loss and Quantization

作　　者：王后能[1] 牛松梅 李自成[1] WANG Houneng;NIU Songmei;LI Zicheng(School of Electrical and Information Engineering,Wuhan Institute of Technology,Wuhan 430205,China)

机构地区：[1]武汉工程大学电气信息学院,湖北武汉430205

出　　处：《控制工程》2024年第2期288-294,共7页Control Engineering of China

基　　金：国家自然科学基金国家重大科研仪器研制项目(41727801);武汉工程大学科学研究基金项目(K201901)。

摘　　要：针对一类含有随机丢包和考虑信号量化情况下的网络控制系统,通过量化状态反馈控制方法,研究了系统的随机鲁棒稳定性问题。采用满足伯努利分布的随机变量对丢包过程进行建模;同时,采用对数量化器对传感器-控制器通道的信号进行量化,利用扇形界的方法将产生的量化误差描述为扇形界的不确定性。设计状态反馈控制器,结合所设计的量化器和随机丢包模型,利用Lyapunov函数和线性矩阵不等式方法得到系统稳定和鲁棒稳定的充分条件。最后,利用数值仿真实例验证了所提方法的有效性。The stochastic robust stability is investigated for a class of networked control systems with random packet dropouts and quantization.The packet loss process is modeled by random variables satisfying Bernoulli distribution.The signal of sensor to controller is quantized by the logarithm quantizer,and the quantization error is described as the uncertainty of sector bound.The state feedback controller for the networked control systems is designed.Combined with the quantizer and random packet dropout model,the sufficient conditions for system stability and robust stability are obtained respectively based on Lyapunov function and linear matrix inequality(LMI).Finally,a numerical simulation example is given to verify the effectiveness of the proposed method.

关 键 词：网络控制系统 丢包 量化 状态反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]