Tajriba ishi chiziqli tizim uchun rostlagichni loyihalash

Ishni bаjаrish tаrtibi.

1. 
   MatLAB dаsturi ishgа tushirilаdi.
   
2. 
   Simulink qism dаsturi ishgа tushirilаdi.
   
3. 
   Vаriаnt bo‘yichа kеrаkli sistеmа mоdеli tuzilаdi.
   
4. 
   Sistеmаni o‘tish jаrаyon xаrаktеristikаsini оlish uchun Scope blоki оchilаdi so‘ngrа instrumеntlаr pаnеlidаgi Start tugmаchаsi bоsilаdi.
   

Koeffitsientlar jadvali

Variant	, sek	, rad/sek	, sek	, sek
	16.0	0.06	1	1
	16.2	0.07	2	2
	16.4	0.08	1	3
	16.6	0.07	2	4
	16.8	0.06	1	5
	17.0	0.07	2	6
	17.2	0.08	1	1
	17.4	0.07	2	2
	17.6	0.06	1	3
	17.8	0.07	2	4
	18.0	0.08	1	5
	18.2	0.09	2	6
	18.4	0.10	1	1
	18.6	0.09	2	2
	18.8	0.08	1	3
	19.0	0.07	2	4
	19.2	0.08	1	5
	19.4	0.09	2	6
	19.6	0.10	1	1
	18.2	0.0694	2	6

Ishni bajarish tartibi:

1.Kema modelining uzatish funktsiyasini kiriting ob’ekt qilib tf.

>>P=tf(0.07,[16.6 1 0])

P =
0.07

------------
16.6 s^2 + s
Continuous-time transfer function.
2.Integrallovchi zvenoning uzatish funktsiyasini kiriting .
>> R0=tf(1,[2 0])

R0 =
1

---
2 s
Continuous-time transfer function.
3.Birlamchi manfiy teskari bog`lanish integratorini yopib, rul qurilmasining uzatish funktsiyasini tuzing
>> R=feedback(R0, 1)

R =
1

-------
2 s + 1
Continuous-time transfer function.
4.Ob’ektni yuritma bilan ketma-ket ulash uzatish funktsiyasini tuzing
>> G=P*R

G =
0.07

-----------------------
33.2 s^3 + 18.6 s^2 + s
Continuous-time transfer function.
5.Hosil bo`lgan modelni uzatish funktsiyasini tuzing va bufer orqali hisobotga ko`chirib oling. Funktsiyaning cheksiz o`sishishi va tug`ri chiziqqa intilishini nima uchunligini tushuntirib bering. Bu to`g`ri chiziqning qiyalik koeffitsienti kanday? Grafik bilan oynani yoping

6.O`lchash qurilmasining uzatish funktsiyasini quring .

>> H=tf(1,[4 1])

H =
1

-------
4 s + 1
Continuous-time transfer function.
7,Ochiq konturning uzatish funktsiyasini quring.

>> L=G+H

L =
33.2 s^3 + 18.6 s^2 + 1.28 s + 0.07
------------------------------------
132.8 s^4 + 107.6 s^3 + 22.6 s^2 + s
Continuous-time transfer function.

8.Ochiq sistemaning LAFCHX ni quring ⁶.

>> bode ( L )

12.LAFCHX oynasini yoping va SISOTool.⁷ modulini ishga tushiring

19. Matlab vositasi oynasiga o`ting va proportsional-differentsial (PD) rostlagichning uzatish funktsiyasini kiriting

, bu erda sek,
esa – kema davri doimiyligi.

>> Cpd=1+tf([16.6 0],[4 1])

Cpd =
20.6 s + 1

----------
4 s + 1
Continuous-time transfer function.

24 Hosil bo`lgan berk sistemasining uzatish funktsiyasini tuzing. Nima uchun bunday katta ifoda hosil bo`lganini o`ylab ko`ring. Uzatish funktsiyasining tartibi qanday bo`lishi kerak?

>> W=Cpd*G/(1+Cpd*G*H)

W =
766 s^6 + 849.3 s^5 + 324.9 s^4

+ 52.22 s^3 + 3.304 s^2
+ 0.07 s
-----------------------------------------
7.054e04 s^9 + 1.32e05 s^8 + 9.89e04 s^7
+ 3.81e04 s^6 + 8224 s^5
+ 1071 s^4 + 89.32 s^3
+ 4.024 s^2 + 0.07 s
Continuous-time transfer function.

25 Uzatish funktsiyasini W minimal realizatsiyasini.

>> W=minreal(W)

W =
0.01086 s^2 + 0.003242 s + 0.0001318

------------------------------------------
s^5 + 1.06 s^4 + 0.3727 s^3 + 0.05008 s^2
+ 0.004597 s + 0.0001318
Continuous-time transfer function.
26.Berk sistema uzatish funktsiyasining qutblarni aniqlang. Ba’zi qutblarning mavhum o`qqa yaqinligi nimani anglatadi? Bu holda turg`unlik zapasi kam bo`lishi to`g`rimi?

>> pole(W)

ans =

-0.4555 + 0.1036i
-0.4555 - 0.1036i
-0.0530 + 0.1056i
-0.0530 - 0.1056i
-0.0433 + 0.0000i

27. Belgilangan rejimda sistemaning kuchaytirish koeffitsientini aniqlang. Natijani tushuntirib bering. Doimiy signal izlanilishida bunday sistemada statik xatolik bormi? Nima uchun? CHiziqli kuchayuvchi signal uchun bunday sistemada statik xatolik bormi

>> dcgain(W)

ans =

1.0000

29.Berk sistemaning kirishdan boshqarish signaliga (rostlagich chiqishiga) uzatish funktsiyasining minimal realizatsiyasini tuzing.

>> Wu = minreal(Cpd/ (1 + Cpd*G*H))

Wu =
5.15 s^5 + 4.423 s^4 + 1.079 s^3

+ 0.08133 s^2 + 0.001883 s
------------------------------------------
s^5 + 1.06 s^4 + 0.3727 s^3 + 0.05008 s^2
+ 0.004597 s + 0.0001318
Continuous-time transfer function.

1^ Faйl oxiridagi jadvaldan , , va қiйmatlarini oling.

2 ^ CHet el adabiyotida LAFCHX Bode diagrammasi deb aйtiladi.

3 ^ SISO = Single Input Single Output, bitta kirish va bitta chiқishli sistema.

4 ^ LTI = Linear Time-Invariant, chiziқli statsionar sistema.

5 ^ Matlab da belgilangan қiйmatdan 2% oғishida uzatish jarayoni vaқti aniқlanadi.

6 ^ CHet el adabiyotida LAFCHX Bode diagrammasi deb aйtiladi.

7 ^ SISO = Single Input Single Output, bitta kirish va bitta chiқishli sistema.