多变量离散系统随机信号跟踪性能极限

Tracking Performance Limitations of Random Signal in Multivariable Discrete-time Systems

研究线性时不变、多变量、离散系统对随机信号的跟踪性能极限问题,所考虑的随机参考输入信号为布朗运动序列.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和参考输入的统计特征决定,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和方向.作为特殊情形,本文给出了参考输入为一致随机信号以及被控对象仅含有单个非最小相位零点和单个不稳定极点时系统跟踪性能极限问题的解.最后,给出了两自由度补偿器跟踪系统对随机信号的跟踪性能极限.

This paper studies tracking performance limitations in linear time invaxiant multivariable discrete-time systems with a random signal reference input. The random input signal con- sidered is the Brownian motion sequence. Results show that tracking performance limitations in these kinds of systems depend on the structure of the plant and the statistic characteristics of the reference input. Here, the structure of the plant represents locations and directions of the nonminimum phase zeros and unstable poles. As special cases, this paper also studies tracking performance limitations when a uniform random reference input and only a single non-minimum phase zero with single unstable pole are considered. Finally, tracking performance limitations of a two-degrees-of-freedom compensator tracking system with a random reference input is given.