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本文研究线性时不变、单输入多输出系统的最优跟踪性能问题.本文以系统输入与输出均方误差的2-范数作为系统的跟踪性能指标.考虑单输入多输出系统在信号跟踪上的局限性,假设在双自由度补偿器结构下,参考输入为单位阶跃信号,且反馈通道中存在信道噪音的影响并考虑此噪音为单位脉冲信号的情况下,研究其最优跟踪性能问题.研究结果表明此类系统的跟踪性能极限完全由被控对象的结构特征以及输入信号,信道噪音的特征共同决定.其中结构特征指被控对象的非最小相位零点和不稳定极点的位置.
In this paper, we study the optimal tracking performance of linear invariant and single-input multiple-output system.In this paper, the 2-norm of the mean square error of the system input and output is taken as the tracking performance index of the system.We consider the single-input multi-output system The limitations of the two-degree-of-freedom compensator structure, the reference input unit step signal, and the existence of channel noise in the feedback channel and consider the noise as a unit of pulse signal, the optimal tracking performance of the problem The results show that the tracking performance limit of such a system is completely determined by the structural characteristics of the controlled object as well as the characteristics of the input signal and the channel noise, where the structural feature refers to the non-minimum phase zero point and the unstable pole position of the controlled object.