1-2 Laboratoriya ishini bajarish bо‘yicha hisobot Ochiq chiziqli sistemalarni tadqiq etish

1-2 - Laboratoriya ishini bajarish bо‘yicha hisobot

Ochiq chiziqli sistemalarni tadqiq etish

Bajardi: Rajabov Shohzod

Tekshirdi: Yakubova Noila

Variant: №17

1. 
   Sistemaning tavsifi
   

Matematik modeli

2.7 s^2 - 0.27 s - 0.81

F(s) = --------------------------------------------------

s^3 + 1.137 s^2 + 0.5717 s + 0.1108

kо‘rinishdagi uzatish funksiya bilan ifodalangan sistemani tadqiq qilinadi.

2. 
   Tadqiqot natijalari
   
   • 
     tf.m fayl adresi:
     

E:\MAT\LAB\toolbox\control\control\@tf\tf.m

• 
  uzatish funksiyasi nullari
  
• 
  z = zero ( f )
  
• 
  
  
• 
  z =
  
• 
  
  
• 
  0.6000
  
• 
  -0.5000
  
• 
  uzatish funksiyasi qutblari
  
• 
  p = pole ( f )
  
• 
  p =
  
• 
  
  
• 
  -0.3684 + 0.3758i
  
• 
  -0.3684 - 0.3758i
  
• 
  -0.4001
  

• 
  о‘rnatilgan rejimda zvenoning kuchaytirish koeffitsiyenti
  

• 
  k = dcgain ( f )
  
• 
  
  
• 
  k =
  
• 
  
  
• 
  -7.3105
  
• 
  sistemaning о‘tazuvchanlik palasasi
  

b = bandwidth ( f )

b =

0.6437

• 
  fazo xolatida sistemaning modeli
  
• 
  a =
  
• 
  x1 x2 x3
  
• 
  x1 -1.137 -0.5717 -0.1108
  
• 
  x2 1 0 0
  
• 
  x3 0 1 0
  
• 
  
  
• 
  
  
• 
  b =
  
• 
  u1
  
• 
  x1 2
  
• 
  x2 0
  
• 
  x3 0
  
• 
  
  
• 
  
  
• 
  c =
  
• 
  x1 x2 x3
  
• 
  y1 1.35 -0.135 -0.405
  
• 
  
  
• 
  
  
• 
  d =
  
• 
  u1
  
• 
  y1 0
  
• 
  statik kuchaytirish koeffitsiyentida D matritsaning о‘zgarishi
  

k1 = dcgain ( f_ss )

k1 =

-7.3105

va koeffitsiyentlar orasidagi aloqa orqali tushuntiriladi.

• 
  «nol-qutb» formasidagi model
  
• 
  f_zp = zpk ( f )
  
• 
  
  
• 
  Zero/pole/gain:
  
• 
  2.7 (s-0.6) (s+0.5)
  
• 
  ----------------------------------
  
• 
  (s+0.4001) (s^2 + 0.7367s + 0.277)
  
• 
  
  
• 
  dempfirlash koeffitsiyenti va kesishish chastotalari
  

  Uzatish funksiyasi qutblari	Hususiy chastota, rad/sek	Doimiy vaqt, sek	Dempfirlash koeffitsiyenti
  0.4001 0.5263 0.5263	1.0000 0.7000 0.7000	2 4 6	-0.4001 -0.3684 + 0.3758i -0.3684 - 0.3758i

• 
  f va f_ss sistemalarning impulsli xarakteristikalari bir xil chiqdi, chunki uzatish funksiyasi va
  

fazo modeli xaresteriktik o`xshash;

• 
  berilgan va shakillangan (modifikatsiyalangan) sistemaning о‘tish jarayoni
  

1.1-rasm. Impuls xarakteristikasi ( vazn funksiyasi )

1.3-rasm. Sistemaning o`tkinchi xarakteristikasi.

1.4-rasm. Sistemaning chastotaviy xarakteristikasi

1.5-rasm. f funksiya moduli.

1.6-rasm. Chiqish signal xarakteristikasi (grafigi).