Challenge

Project - Position control of mass spring damper system

VVijaya Kumar N28 May 2023

Obtain the transfer function of a mass spring damper system and use it in the model. Add a PID controller to adjust the force on mass so that its position follows a reference signal.

Take m = 3.6; %kg k = 400; %N/m c = 100; %Ns/m

The reference signal is shown in the following figure.

answer:

Aim:

To Obtain the transfer function of a mass spring damper system and use it in the model. Add a PID controller to adjust the force on mass so that its position follows a reference signal.

given data:

Take m = 3.6; kg k = 400; N/m c = 100; Ns/m

Here, our spring mass damper system is design by applying transferfunction to physical model as per previous case,

pid controller is design using pole placement method,ki is taken by adjusting the number

program:

% initial conditions Position control of mass spring damper system

m = 3.6; % kg

k = 400; % N/m

c = 100; % Ns/m

% Pole placement design

fn = 1.0; % 1Hz natural frequency design

wn = 2*pi*fn; % Natural frequency in rad/s

% A & B matrix value

A = [0 1; -k/m -c/m]; % A is using matrix of c ans k dived value of mass

B = [0; 1/m]; % B is the 1 ovear mass value

% Design values

zeta = 0.9; % for an under-damped behavior

% Desied poles value

p1 = -zeta*wn+wn*sqrt(zeta^2-1);

p2 = -zeta*wn-wn*sqrt(zeta^2-1);

p= [p1;p2];

% place comment is the Kp and Kd value

K = place(A,B,p);

matlab simulink model:

output:

conclusion:

To complte the project of Position control of mass spring damper system transfer function of a mass spring damper system and use it in the model. Add a PID controller to adjust the force on mass so that its position follows a reference signal to using matlab and simulink wave from plot.

Project - Position control of mass spring damper system

Ship work like this
in your own course.

Talk to a career counsellor

Ship work like thisin your own course.

Talk to a career counsellor

Ship work like this
in your own course.