| 引用本文: | 陈海霞,孙书利.具有有限连续丢包网络控制系统的最优线性估值器[J].控制理论与应用,2012,29(10):1317~1324.[点击复制] |
| CHEN Hai-xia,SUN Shu-li.Optimal linear estimators for networked control systems with finite consecutive packet dropouts[J].Control Theory and Technology,2012,29(10):1317~1324.[点击复制] |
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| 具有有限连续丢包网络控制系统的最优线性估值器 |
| Optimal linear estimators for networked control systems with finite consecutive packet dropouts |
| 摘要点击 2294 全文点击 1728 投稿时间：2011-10-07 修订日期：2012-03-08 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.10.CCTA111113 |
| 2012,29(10):1317-1324 |
| 中文关键词 有限连续丢包 最优线性估值器 射影理论 稳态估值器 网络控制系统 |
| 英文关键词 finite consecutive packet dropout optimal linear estimator projection theory steady-state estimator networked control system |
| 基金项目 国家自然科学基金资助项目(60874062, 61174139); 教育部新世纪优秀人才支持计划资助项目(NCET–10–0133); 黑龙江大学高层次人才创新团队资助项目(Hdtd2010–03); 黑龙江省高校重点实验室资助项目. |
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| 中文摘要 |
| 本文研究了观测数据和控制输入数据传输具有有限连续丢包的线性离散随机系统的最优估计问题. 利用两个满足Bernoulli分布的随机变量来分别描述从传感器到估值器和从控制器到执行器之间的数据丢包现象. 通过引入两组新的变量, 将原系统转化为一个带有随机参数的系统. 利用射影理论, 提出了线性最小方差最优线性估值器, 包括滤波器、预报器和平滑器. 最后研究了稳态线性估值器, 并给出了稳态存在的一个充分条件. 仿真例子验证了算法的有效性. |
| 英文摘要 |
| This paper studies the optimal estimation problem for discrete-time stochastic linear systems with finite consecutive packet dropouts in the data transmission of measurements and control inputs. Two Bernoulli distributed random variables are employed to describe the phenomena of data losses from the sensor to the estimator and from the controller to the actuator, respectively. By introducing two groups of new variables, we convert the original system to one with the random parameters. Using the projection theory, we present the optimal linear estimators including the filter, the predictor and the smoother in the linear minimum variance sense. Finally, the steady-state linear estimators are studied and a sufficient condition for the existence of steady state is given. An example shows the effectiveness of the algorithms. |