Labaratoriya ishi – 5,6

2. y=5:?:40,8 .


23-varinat

2.00	3.62	4.66	5.44	6.05	6.56	7.00	7.38	7.71
8.02	8.29	8.54	8.78	8.99	9.19 9.38	9.56	9.73	9.89

am2 = armax(ze,[2 2 2 1])
am2 =
Discrete-time ARMAX model: A(z)y(t) = B(z)u(t) + C(z)e(t)
A(z) = 1 - 1.516 z^-1 + 0.7145 z^-2
B(z) = 0.982 z^-1 + 0.5091 z^-2
C(z) = 1 - 0.9762 z^-1 + 0.218 z^-2
Sample time: 0.25 seconds
Parameterization:
Polynomial orders: na=2 nb=2 nc=2 nk=1
Number of free coefficients: 6
Use "polydata", "getpvec", "getcov" for parameters and their uncertainties.


Status:
Estimated using ARMAX on time domain data "ze".
Fit to estimation data: 75.08% (prediction focus)
FPE: 0.9837, MSE: 0.9264
bj2 = bj(ze,[2 2 2 2 1]) % 2nd order BOX-JENKINS model
bj2 =
Discrete-time BJ model: y(t) = [B(z)/F(z)]u(t) + [C(z)/D(z)]e(t)
B(z) = 0.9922 z^-1 + 0.4701 z^-2
C(z) = 1 - 0.6283 z^-1 - 0.1221 z^-2
D(z) = 1 - 1.221 z^-1 + 0.3798 z^-2
F(z) = 1 - 1.522 z^-1 + 0.7243 z^-2
Sample time: 0.25 seconds
Parameterization:
Polynomial orders: nb=2 nc=2 nd=2 nf=2 nk=1
Number of free coefficients: 8
Use "polydata", "getpvec", "getcov" for parameters and their uncertainties.


Status:
Estimated using BJ on time domain data "ze".
Fit to estimation data: 75.47% (prediction focus)
FPE: 0.9722, MSE: 0.8974






mtf = tfest(ze, 2, 2
mtf =


From input "u1" to output "y1":
-0.05428 s^2 - 0.02386 s + 29.6
-------------------------------
s^2 + 1.361 s + 4.102


Continuous-time identified transfer function.


Parameterization:
Number of poles: 2 Number of zeros: 2
Number of free coefficients: 5
Use "tfdata", "getpvec", "getcov" for parameters and their uncertainties.


Status:
Estimated using TFEST on time domain data "ze".
Fit to estimation data: 71.69%
FPE: 1.282, MSE: 1.195
AN ARX model is represented as: A(q)y(t) = B(q)u(t) + e(t),
or in long-hand,
y(t)+a₁y(t−1)+⋯ + a_nay(t−na) = b₁u(t−nk)+ ⋯ b_nbu(t−nb −nk+1)+e(t)








m =
Continuous-time identified state-space model:
dx/dt = A x(t) + B u(t) + K e(t)
y(t) = C x(t) + D u(t) + e(t)
A =
x1 x2
x1 -0.007167 1.743
x2 -2.181 -1.337
B =
u1
x1 0.09388
x2 0.2408
C =
x1 x2
y1 47.34 -14.4
D =
u1
y1 0
K =
y1
x1 0.04108
x2 -0.03751