基于一阶移动平均高斯噪声通道的网络控制系统最优调节性能
首发时间:2012-12-24
摘要:本文研究了基于一阶移动平均高斯噪声反馈通道的网络控制系统的最优调节性能问题。通过计算系统的熵能量,得到了在信道输入能量有限情形下镇定网络控制系统信噪比的一个下界。基于控制器的Youla参数化和 控制理论,在前馈通道存在输入扰动和反馈通道存在高斯噪声的情形下,设计出最优的控制器,得到了网络控制系统的最优调节性能。结论表明,网络控制系统的最优调节性能不仅依赖于被控对象的非最小相位零点和不稳定极点,还与输入扰动、高斯噪声的统计特性密切相关。最后,通过数值仿真对理论分析结果进行了验证。
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Optima Regulation Performance of Networked Control Systems with A First Order Moving Average Gaussian Noise Channel
Abstract:In this paper, the optimal regulation performance of Networked control systems (NCS) with a first order moving average Gaussian noise feedback channel was studied. By calculating the entropy power of NCSs, a lower bound of signal-to-noise ratio (SNR) to stabilize the NCSs is obtained. Based on Youla parameterization of controller and H2 control theory, the optimal regulation performance of NCSs under the effects of input disturbance in the feed-forward channel and Gaussian noise in the feedback channel is obtained and the optimal controller is designed. It is shown that the optimal regulation performance of NCSs not only depends on the non-minimum phase zeros and unstable poles of the given plant, but also is closely related to statistic characteristics of input disturbance, Gaussian noise. Finally, computer simulations are provided to illustrate the analytical results obtained.
Keywords: network control system regulation performance moving average signal to noise ratio
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