Design method of algebraic equivalent observers for several typical kinds of controlled processes

The linear time-invariant systems of equivalent one another in algebra represent mathematical models of a same physical system described in different state vectors. Algebra equivalent observer (AEO) is derived from the non singularity of state space presentation in linear system, which is a very important concept in control theory. For the rapid calculation of parameters of AEO, which have effect on the control system, based on the actual application of the algebra equivalent observer of higher-order inertial element, and according to the matrix of standard type of the Jordan’s, a matrix block JBS of Jordan standard type in broad sense is defined. A simple calculation method of transform matrix P is given by mathematical analysis, in which the P is used at J
BS1
=PJ
BS2
P
⁻¹
.