An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information
An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information
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DOI：
10.1109/tac.2009.2023969
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发表时间：
2009-07
影响因子：
6.8
通讯作者：
W. Su;L. Qiu;Jie Chen
中科院分区：
文献类型：
--
作者：
W. Su;L. Qiu;Jie Chen
本文使用部分参考信息研究了MIMO线性时间不变（LTI）反馈系统的最佳可实现的参考跟踪性能。要跟踪的参考信号是多色调正弦信号。假定，除了参考信号的瞬时值之外，只有正弦组件的频率是已知的。跟踪性能是通过跟踪误差的能量来衡量的。借助参考信号的部分信息，我们考虑平均性能度量，并获得最佳可实现性能的明确表达。该表达式显示了谐波频率和零方向如何影响性能，进一步，在可用的部分信息下可能会导致性能降解。
This paper studies the best achievable reference tracking performance of MIMO linear time-invariant (LTI) feedback systems with partial reference information. The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the reference signal, only the frequencies of the sinusoidal components are known. The tracking performance is measured by the energy of the tracking error. With this partial information of the reference signal, we consider an averaged performance measure and obtain an explicit expression of the best achievable performance. The expression shows how the harmonic frequencies and the zero directions may affect the performance, and further, how a performance degradation may result under the available partial information.