CRUISE CONTROL SYSTEM IN MATLAB, SIMULINK

Mô tả hệ thống CCS bằng phần mềm matlab và simulink với bài toán đơn giản.Đây không phải là tài liệu mô tả cụ thể hệ thống CCS mà chỉ là hướng dẫn cách sử dụng matlab và simulink trong các bài toán về hệ thống trên ô tô.Liên hệ email: vietphuocspkgmail.com

AUTOMATIC CONTROL FOR AUTOMOTIVE APPLICATIONS

LECTURE: NGUYEN TRUNG HIEU

HOME WORK 1: CRUISE CONTROL SYSTEM

GROUP 4:

Nguyen Viet Phuoc – 14145208 Truong Nu Quynh Nhu – 14145191

Nguyen Trong Dat – 14145049 Le Ngoc Han – 14145069

Doan Phuoc Tan – 14145255 Dinh Cong Luu –14145157

Nguyen Thanh Cong – 14145018

1 Find the transfer function of CCS system with: Force is Input Velocity is Output

∑u (t )=ma (t)

→ u(t)−bv (t)=ma(t)

⇔u (t )−bv (t )=m ´v (t) (1)

(1) →U ( s)−B V (s )=m S V ( s )

⇔U ( s)=V (s) (mS+B)

⇔ V (s )

U (s)=

1

mS+B

→ G( s)= 1

mS+ B

2 Find out the state- space equation of system

´

X =A X +B u

[´x

´

x]=[? ? ? ?].[x´x]+[? ?] u

We need to fill in the [?].

We have the differential equation:

u (t )−bv (t)=m ´v (t)

Or u (t )−b ´x (t )=m ´x (t)

→{ x =0 x +0 u+1 ´x´

´

x=−b

m ´x +

1

m u.0 x

y=C x=[0 1].[x x´]

Finally, we have the result: {´x=[00 −1b

m ].[x x´]+[01

m].u y=[0 1].[x´x]

3 Covert the state – space equation to transfer function.

G (s )= Y (s)

U (s)=C(s I− A)

−1 B

G (s )=[0 1].(s [1 00 1]−[00 −1b

m ] )−1.[01

m]

¿[0 1].( [0 s+ s −1b

m] )−1.[01

m]

¿[0 1]. 1

s(s+ b

m) .[s+ b

m 1

0 s].[01

m]

¿ 1

s (s + b

m)

.[0 s].[01

m]= 1

s (s+ b

m)

. s

m=

1

ms+b

4 Simulate both in Matlab/Simulink with the following parameters Showing the system Output with the system Input is:

Step 1: Give matlab 2 value m = 1000, b = 50.

Step 2:Click in Simulink, building the model, like following picture.

Note: Change the Simulation stop time into 150s.

change Number of axes into 3 in Scope.

Step 3: Create the Signal Input

Step 4: Click in transfer Fcn, state-space to fill in m and b like question

1 and 2, such as following picture.

Step 5: Click in Run to the model operate And clink in scope to watch the chart.

And Display show distance that car can run.

5. How far the vehicle can run? How long dose it take