RU99114636A - METHOD FOR DETERMINING COEFFICIENTS OF TRANSFER FUNCTIONS OF LINEAR DYNAMIC OBJECTS - Google Patents

Claims (1)

A method for determining the transfer function coefficients of linear dynamic objects by supplying a step test signal to the input of the test object and measuring the time interval from the moment of the test signal value A to reaching the threshold value, characterized in that at the end of the transient signal at the output of the object y (t ) by

(where _ust is the steady-state value of the output signal, Δ _d is the permissible error in completing free oscillations), the duration of the transient process T is measured and taking into account that for objects with a transfer function

linear integral estimates can be written as:

where k = n + m - 1;
m is the order of the numerator;
n is the order of the denominator;
ε _sv (t) = y _mouth -y (t),
calculate integral quality estimates and using them the relationship of integral quality estimates and decomposition coefficients

transfer function in a power series

J _o = C _o ; J ₁ = (-1) C ₁ ; .....; J _k = (-1) ^k C _k ,
where k = 0 - (m + n - 1);

depend on the coefficients d _i , the polynomial of the numerator and a _j polynomial of the denominator of the transfer function

i = 0 - (m - 1), j = 0 - n, (m - 1) and n, respectively, the orders of the numerator and denominator polynomials, the coefficients d _{i of} the numerator polynomial and a _{j of} the denominator polynomial are calculated by solving the resulting system of linear algebraic equations:

and the coefficients b ₁ are calculated by the formula

b _o = y _mouth