Project - Position control of mass spring damper system
Obtain the transfer function of a mass spring damper system and use it in the model
Mass Spring Damper System
Transfer function and state space model are developed for system shown below.
| (input) | f(t) | = | external force applied on mass | |
| (output) | z(t) | = | position | unknown |
| m | = | mass | ||
| k | = | spring constant | ||
| b | = | damping coefficient |
Differential Equation
1 unknown so 1 equation is needed.
Newton's 2nd law:
(eq. 1)
Transfer Function
Laplace transform (eq. 1):
Solve for Z(s)/F(s):
(solution)
Block Diagram
This is model we build with PID controller
This is our script
This is output scope we obtained
we obtain signal same as refernce signal by giving Ki=900, stepe size=0.001 used that auto solver