Project - Position control of mass spring damper system

Q.1 Spring mass damper system

-used PID controller in spring mass damper system.

-Blocks used -

Clock-Display time =30 sec

To workspace- out.time & out.x1 - Array format used

Pulse generator - Amplitude=1, Period=10 sec, Pulse width=50% of period

Sum block - sum of kp, ki & kd values

kp - gain block used for propotional to input

kd - derivative & gain block used

ki - Integration & gain block used

Transfer function block used-

Numerator coefficent=1

denominator coefficent=m,c,k value used

Initial position given below

m=3.6 %kg; k=400 %N/m;  c=100 % Ns/m

Generate wn value, A&B matrix value,Design pole placement, Design place comment & Kp,Kd,Ki value then plot Graph.

output is given below