Hi @Esin Derin
For simplicity, you can do something straightforward and plot the time responses like this.
Case 1a: 
, 
rad/s
, rad/s% sin(omega*t) = sin((2π*Freq)*t) = sin((2π/τ)*t)
omega = 1; % angular frequency {1, 10, 100} rad/s
tau = 2*pi/omega; % time period of a wave
Tf = 2*tau; % wave duration of Tf seconds
[u, t] = gensig("sine", tau, Tf); % generates a signal where t runs from 0 to Tf seconds
G = tf(1, [0.1 1]); % plant transfer function
K = -100; % feedback gain {-100, -10, -1, 5, 3}
H = -K;
Gcl = feedback(G, H) % closed-loop system subjected to a disturbance Y(s)/D(s)
lsim(Gcl, u, t)
grid on
Case 1b: 
, 
rad/s
, rad/s% sin(omega*t) = sin((2π*Freq)*t) = sin((2π/τ)*t)
omega = 10; % angular frequency {1, 10, 100} rad/s
tau = 2*pi/omega; % time period of a wave
Tf = 2*tau; % wave duration of Tf seconds
[u, t] = gensig("sine", tau, Tf); % generates a signal where t runs from 0 to Tf seconds
G = tf(1, [0.1 1]); % plant transfer function
K = -100; % feedback gain {-100, -10, -1, 5, 3}
H = -K;
Gcl = feedback(G, H) % closed-loop system subjected to a disturbance Y(s)/D(s)
lsim(Gcl, u, t)
grid on
Case 1c: 
, 
rad/s
, rad/s% sin(omega*t) = sin((2π*Freq)*t) = sin((2π/τ)*t)
omega = 100; % angular frequency {1, 10, 100} rad/s
tau = 2*pi/omega; % time period of a wave
Tf = 2*tau; % wave duration of Tf seconds
[u, t] = gensig("sine", tau, Tf); % generates a signal where t runs from 0 to Tf seconds
G = tf(1, [0.1 1]); % plant transfer function
K = -100; % feedback gain {-100, -10, -1, 5, 3}
H = -K;
Gcl = feedback(G, H) % closed-loop system subjected to a disturbance Y(s)/D(s)
lsim(Gcl, u, t)
grid on
Case 2a: 
, 
rad/s
, rad/s% sin(omega*t) = sin((2π*Freq)*t) = sin((2π/τ)*t)
omega = 1; % angular frequency {1, 10, 100} rad/s
tau = 2*pi/omega; % time period of a wave
Tf = 2*tau; % wave duration of Tf seconds
[u, t] = gensig("sine", tau, Tf); % generates a signal where t runs from 0 to Tf seconds
G = tf(1, [0.1 1]); % plant transfer function
K = -10; % feedback gain {-100, -10, -1, 5, 3}
H = -K;
Gcl = feedback(G, H) % closed-loop system subjected to a disturbance Y(s)/D(s)
lsim(Gcl, u, t)
grid on
