网络化控制系统在带宽受限和加性有色白高斯噪声下的最优跟踪性能限制
Optimal Tracking Performance Limitation of Networked Control Systems with Limited Bandwidth and Additive Colored White Gaussian Noise
AI总结：
本文研究了在带宽受限和加性有色白高斯噪声下的多输入多输出线性时不变系统网络化控制下的最优跟踪性能问题，分析了带宽限制和噪声对跟踪性能的影响。
摘要：
本文研究了在带宽受限和加性有色白高斯噪声下的多输入多输出线性时不变系统网络化控制下的最优跟踪性能问题。跟踪性能通过控制输入能量和系统输出与参考信号之间误差信号的能量相对于布朗运动随机过程来衡量。本文重点研究了两种网络参数：基本网络参数——带宽和加性有色白高斯噪声，并研究了跟踪性能限制问题。获得了最佳可达到的跟踪性能，并揭示了通信通道的带宽限制和加性有色白高斯噪声对可达到的跟踪性能的影响。证明了最优跟踪性能依赖于给定系统非最小相位零点、所有频率的增益及其方向的单位向量，以及通信通道的带宽限制和加性有色白高斯噪声。最后给出了仿真结果以说明理论结果。
英文摘要：
This paper studies optimal tracking performance issues for multi-input-multi-output linear time-invariant systems under networked control with limited bandwidth and additive colored white Gaussian noise channel. The tracking performance is measured by control input energy and the energy of the error signal between the output of the system and the reference signal with respect to a Brownian motion random process. This paper focuses on two kinds of network parameters, the basic network parameter-bandwidth and the additive colored white Gaussian noise, and studies the tracking performance limitation problem. The best attainable tracking performance is obtained, and the impact of limited bandwidth and additive colored white Gaussian noise of the communication channel on the attainable tracking performance is revealed. It is shown that the optimal tracking performance depends on nonminimum phase zeros, gain at all frequencies and their directions unitary vector of the given plant, as well as the limited bandwidth and additive colored white Gaussian noise of the communication channel. The simulation results are finally given to illustrate the theoretical results.
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