| 引用本文: | 邬依林,沈志萍.网络化系统周期信号的跟踪[J].控制理论与应用,2016,33(5):685~693.[点击复制] |
| WU Yi-lin,SHEN Zhi-ping.The tracking problem in networked systems with periodic signal reference input[J].Control Theory and Technology,2016,33(5):685~693.[点击复制] |
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| 网络化系统周期信号的跟踪 |
| The tracking problem in networked systems with periodic signal reference input |
| 摘要点击 2575 全文点击 1698 投稿时间：2015-02-03 修订日期：2016-06-09 |
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| DOI编号 10.7641/CTA.2016.50112 |
| 2016,33(5):685-693 |
| 中文关键词 丢包 周期方波信号 功率谱 跟踪性能极限 网络化控制系统 |
| 英文关键词 packet dropouts periodic square wave signal power spectrum tracking performance limitation networked control systems |
| 基金项目 国家自然科学基金项目(61273109), 广东第二师范学院教授博士科研专项经费项目(2014ARF25), 广东省科技计划项目(2016A010106007, 2014A090906010), 华南理工大学中央高校基本科研业务费(2015ZZ026), 河南省高等学校重点科研项目(16A120005), 河南师范大学博士科研 启动经费(5101019170158)资助. |
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| 中文摘要 |
| 研究线性时不变、单变量、离散网络化系统对周期信号的跟踪问题. 与现有文献考虑的参考输入信号大都为常
见的能量信号所不同的是, 本文参考输入信号是离散时间周期方波功率信号. 相应地, 研究系统对基于功率谱的参考输
入信号功率的响应, 系统的跟踪性能通过输入信号与受控对象输出之差的功率来衡量, 而最优跟踪性能采用跟踪误差的
平均功率来度量. 考虑的网络化控制系统仅上行通道存在丢包误差的影响, 把丢包过程看作两个信号的合成, 一是确定
性信号, 二是随机过程, 进而丢包误差描述为源信号和白噪声之间乘积. 根据被控对象和随机过程的性质, 采用
Parseval等式、维纳–辛钦定理和范数矩阵理论得到该系统跟踪性能极限的下界表达式. 仿真结果表明, 所设计的控制器
能实现对周期信号的有效跟踪, 进而验证了结论的正确性. |
| 英文摘要 |
| The tracking problem in linear time invariant SISO discrete-time networked systems with periodic signal
reference input is studied. The most important difference between the exist works on the tracking problem and this paper
is that the reference input signal considered in the latter is a discrete-time periodic square wave power signal, whereas the
reference input signal considered in most of the former is the common energy signal. Accordingly, we study the system
response to the power of input signal based on power spectrum. The tracking performance is measured by the power of
the tracking error between the plant output and the reference and the optimal tracking performance is thus measured by
the mean power of the tracking error. We consider this case for which there may be packet dropouts only in the forward
channel in the communication network. Subsequently, the packet dropouts may be described by a certain type of signal
and an uncertain type of signal, the error in packet dropouts is assumed to be a product of the original signal and a white
noise. By applying Parseval identity and Wiener-Khinchin theorem as well as norm matrix theory, the lower bound of the
performance in tracking is derived in terms of the characteristics of the plant and the uncertain type of signal. Numerical
simulation results demonstrate the effectiveness in tracking periodic signal under the control of optimal tracking controller
presented in this study. Consequently, it demonstrates the correctness of our result. |
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