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本文主要讨论以电气传动系统为背景的单输入单输出线性定常系统的传递函数极零相消和能控性能观测性问题。从理论上把工程通用的框图法和状态空间方法相结合,不必列写状态方程就能根据实际环节排列次序,来判断在有传递函数极零相消情况下有损的是能控性还是能观测性。并指出一般工业系统极零相消往往有损的是状态能控性。然后利用对偶原理进一步说明了在极零对消下,结构排列和能控性能观测性方面的规律。最后讨论了极零相消对过渡过程的影响问题。指出在负载扰动下,被消掉的对象不控振型必然要影响系统过渡过程。并批驳有的文献中关于初始条件非零的过渡过程中潜伏的不控振型必要出现的错误结论,指出若初值之间符合静态约束关系,潜伏振型就不出现,否则就出现,并举例加以说明。
In this paper, we mainly discuss the observational problem of zero-zero transfer function and observability of the transfer function of a single-input / single-output linear system with electric drive system as the background. Theoretically, the common block diagram method and the state space method are combined. It is not necessary to write the equation of state to arrange the order according to the actual link to judge whether the loss is controllability or not Observability. It is pointed out that the loss of zero-zero in the general industrial system is often state-controlled. Then the principle of duality is used to further illustrate the rules of zero-zero elimination, structural arrangement and controllable observability. Finally, we discuss the impact of pole zero cancellation on the transition process. It is pointed out that when the load is disturbed, the object that is canceled out will not affect the transition process inevitably. And criticizes the erroneous conclusion in some documents about the latent uncontrolled vibration modes during the transition with non-zero initial conditions. It is pointed out that the latent vibration modes do not appear if the initial values agree with the static constraints, Give an example to illustrate.