Optimal Performance in Tracking Stochastic Signal Under Disturbance Rejection
Optimal Performance in Tracking Stochastic Signal Under Disturbance Rejection
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DOI：
10.1002/asjc.494
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发表时间：
2012-11
影响因子：
2.4
通讯作者：
Xisheng Zhan;Z. Guan;R. Liao;F. Yuan
中科院分区：
文献类型：
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作者：
Xisheng Zhan;Z. Guan;R. Liao;F. Yuan
针对干扰抑制下的多输入多输出（MIMO）线性时不变（LTI）系统，提出了最优跟踪性能分析方法。采用装置输出信号与参考信号之间的误差信号H2准则作为跟踪性能的度量。采用光谱分解方法得到系统跟踪误差的最优解。在干扰抑制条件下，导出了对随机参考信号的最小跟踪误差的显式表达式。结果表明，非最小相位零、零方向、不稳定极点、给定对象极点方向、参考输入信号的统计特性和干扰信号对反馈系统抗扰减小系统误差的能力有负面影响。结果表明，干扰抑制会进一步破坏系统的最优跟踪性能。给出了一些典型的例子来说明理论结果。
The analysis method of optimal tracking performance is proposed for multiple‐input multiple‐output (MIMO) linear time‐invariant (LTI) systems under disturbance rejection. An H2 criterion of the error signal between the output of the plant and the reference signal is used as a measure for the tracking performance. Spectral factorization is applied to obtain the optimal solution of the system tracking error. The explicit expressions are derived for this minimal tracking error with respect to random reference signals under disturbance rejection. It is shown that the nonminimum phase zeros, the zero direction, the unstable poles, the pole direction of a given plant, statistical characteristics of the reference input signal, and disturbance signal have a negative effect on a feedback system's ability to reduce the system error with disturbance rejection. The results show that the optimal tracking performance will further be damaged because of disturbance rejection. Some typical examples are given to illustrate the theoretical results.