Challenge

Project - Position control of mass spring damper system

% parameters given

m = 3.6;% mass

k = 400; % stiffness

c = 100; % damper

% A & B matrices

A = [0 1;111.11 27.79];

B = [0;0.27];

fn = 1.0; % 1 hz freaquency

wn = 2*pi*fn; % natural freaquency in rad/sec

% design parameter

zeta = 0.5; % damping co efficient

% poles

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

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

P = [p1;p2];

% pole placementdesign

K = place(A,B,P);

Kp = k(1);

Kd = k(2);

Ki = 1500;

Clock: The Clock block generates a periodic signal that can be used as a time reference for your model.
Workspace: The Workspace block allows you to import data from the MATLAB workspace into your Simulink model.
Pulse Generator: The Pulse Generator block generates a periodic rectangular pulse signal.
Sum: The Sum block allows you to add or subtract signals. It is often used in control systems to combine the output of multiple controllers.
Integrator: The Integrator block performs numerical integration of a signal. It is commonly used to model systems that involve calculus.
Gain: The Gain block multiplies its input signal by a constant value.
Transfer Function: The Transfer Function block models a linear time-invariant system using a transfer function. It takes the Laplace transform of the input signal, multiplies it by the transfer function, and then takes the inverse Laplace transform to obtain the output signal.
Scope: The Scope block displays the output of a signal in a graph. It is commonly used to visualize simulation results.

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