.


:




:

































 

 

 

 


(, , ).

1.1.

:

0,04 * + 0,44 * + y(t) = 6*x(t)

= +

y = |0 1|

 

Control System Toolbox ( )

>> W = tf([6],[0.04 0.44 1])

 

Transfer function:

---------------------

0.04 s^2 + 0.44 s + 1

 

>> [A B C D] = tf2ss([6],[0.04 0.44 1])

 

A =

 

-11 -25

1 0

 

 

B =

 

 

 

C =

 

0 150

 

 

D =

 

 

1.2. Control System Toolbox.

>> W_zp=zpk(W)

 

W_zp =

 

-------------------

(s+7.791) (s+3.209)

 

Continuous-time zero/pole/gain model.

 

>> z=zero(W)

 

z =

 

Empty matrix: 0-by-1

 

>> p=pole(W)

 

p =

 

-7.7913

-3.2087

 

 

Simulink 2 K, T z.

Matlab, (, , )

1.5 c

= 1.52%

, (), , .

>> W0=1

 

W0 =

 

 

>> R1=feedback(W,W0,-1)

 

R1 =

 

---------------------

0.04 s^2 + 0.44 s + 7

 

>> [A B C D]=tf2ss([6],[0.04 0.44 7])

 

A =

 

-11 -175

1 0

 

 

B =

 

 

 

C =

 

0 150

 

 

D =

 

 

= +

>> z=zero(R1)

z =

Empty matrix: 0-by-1

>> p=pole(R1)

p =

-5.5000 +12.0312i

-5.5000 -12.0312i

Simulink .

1.7. , () K, Simulink .

>> R2=feedback(W,W0,1)

 

R2 =

 

---------------------

0.04 s^2 + 0.44 s - 5

 

Continuous-time transfer function.

 

1.8. K, . C

 

2.

2.1. :

Simulink ( Control System Toolbox);

Control System Toolbox ( Simulink).

 

 

(, , ).

1.38 c

= 0%

2.3. (K, T z) , : 10% , 50% , 100% , 150% , 200% , 1000% . .

>> W=tf([6],[0.04 0.44 1]);

>> D1=tf([6],[0.04 0.044 1]);

>> ltiview(W,D1)

 

>> D2=tf([6],[0.04 0.22 1]);

>> ltiview(W,D2)

 

>> D3=tf([6],[0.04 0.44 1]);

>> ltiview(W,D3)

 

>> D4=tf([6],[0.04 0.66 1]);

>> ltiview(W,D4)

 

>> D5=tf([6],[0.04 0.88 1]);

>> ltiview(W,D5)

 

>> D6=tf([6],[0.04 4.4 1]);

>> ltiview(W,D6)

 



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