“频域最小阶Kx-观测器”的设计

利用受控系统在频域的传递函数矩阵,直接设计频域最小阶Kx-观测器,可以避免状态空间实现这一中间环节,减少研究层次。本文利用多项式向量空间的对偶最小基和多项式矩阵的Popov阶梯形的概念,分析了频域最小阶Kx-观测器的设计问题,做了大量简化,得到一种设计算法,并附有例题说明。层次清楚,方法简便,在工程应用上是可取的。 文中对于频域Kx-观测器的可能最小阶数,也作了一些讨论,得到一些有益的结果。

MINIMAL ORDER K x-OBSERVER DESIGN IN FREQUENCY DOMAIN

For design of minimal order A Kx-observer in frequency domain,it seems more feasible to use the matrix transfer function of the control system directly,so the state space realization of the system is avoided.The designproblem for minimal order Kx-observer in frequency domain is analyzed and the solution to the problem reduces to four conditions.As it is impossible to write all these conditions in analytic form,it is difficult to find out a procedure to meet them.These design conditions are simplified to a great extent with the help of the dual minimal basis（DMB）of polynomial vector spaces and Popov Echelon Form concepts.In consequence,a design procedure for minimal order Kx-observer in frequency domain is given and seems simple.Moreover,the probable minimal order of Kx-observer in frequency domain is discussed.