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变采样周期网络控制系统的量化状态反馈控制
引用本文:于水情,李俊民. 变采样周期网络控制系统的量化状态反馈控制[J]. 北京理工大学学报, 2011, 31(7): 814-817
作者姓名:于水情  李俊民
作者单位:1. 西安电子科技大学理学院,陕西,西安710071;西安财经学院统计学院,陕西,西安710061
2. 西安电子科技大学理学院,陕西,西安710071
基金项目:国家自然科学基金,中央高校基本科研业务费专项资金资助
摘    要:研究了一类具有变采样周期的网络控制系统的量化状态反馈控制问题.将从传感器到控制器的随机时延作为系统的时变采样周期,通过将具有时变采样周期、随机时延和量化器的网络控制系统建模为M arkov跳变系统,利用李雅普诺夫稳定性理论和线性矩阵不等式方法给出了系统指数均方稳定的充分条件,并设计了一种量化状态反馈控制器.通过仿真算例说明了所提方法的有效性.

关 键 词:网络控制系统  变采样周期  量化  线性矩阵不等式  随机时延
收稿时间:2010-04-30

Quantized State Feedback Control of Networked Control Systems Under Variable-Period Sampling
YU Shui-qing and LI Jun-min. Quantized State Feedback Control of Networked Control Systems Under Variable-Period Sampling[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2011, 31(7): 814-817
Authors:YU Shui-qing and LI Jun-min
Affiliation:School of Science, Xidian University, Xi'an, Shaanxi, 710071, China;School of Statistics, Xi'an University of Finance and Economics, Xi'an, Shaanxi, 710061, China;School of Science, Xidian University, Xi'an, Shaanxi, 710071, China
Abstract:The quantized state feedback control problem for a class of networked control system is studied. The random delay from the sensor to the controller is regarded as the time-varying sampling period. By modeling the networked control systems with time-varying sampling period,random delay and quantization as Markov jumping system, a sufficient condition of the exponentially mean-square stabilization for the system is obtained by Lyapunov stability theory and linear matrix inequality techniques, and a quantized state feedback controller is derived. Finally an example is presented to illustrate the effectiveness of the proposed method.
Keywords:networked control systems  variable-period sampling  quantization  linear matrix inequality  random delay
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