Function Reference: impulse

Function File: impulse (sys)

Function File: impulse (sys1, sys2, …, sysN)

Function File: impulse (sys1, 'style1', …, sysN, 'styleN')

Function File: impulse (sys1, …, t)

Function File: impulse (sys1, …, tfinal)

Function File: impulse (sys1, …, tfinal, dt)

Function File: [y, t, x] = impulse (sys)

Function File: [y, t, x] = impulse (sys, t)

Function File: [y, t, x] = impulse (sys, tfinal)

Function File: [y, t, x] = impulse (sys, tfinal, dt)

Impulse response of LTI system. If no output arguments are given, the response is printed on the screen.

Inputs

sys: LTI model.
t: Time vector. Should be evenly spaced. If not specified, it is calculated by the poles of the system to reflect adequately the response transients.
tfinal: Optional simulation horizon. If not specified, it is calculated by the poles of the system to reflect adequately the response transients.
dt: Optional sampling time. Be sure to choose it small enough to capture transient phenomena. If not specified, it is calculated by the poles of the system.
’style’: Line style and color, e.g. ’r’ for a solid red line or ’-.k’ for a dash-dotted black line. See help plot for details.

Outputs

y: Output response array. Has as many rows as time samples (length of t) and as many columns as outputs.
t: Time row vector.
x: State trajectories array. Has length (t) rows and as many columns as states.

See also: initial, lsim, step.

Demonstration 1

The following code

 clf;
 s = tf('s');
 g = 1/(2*s^2+3*s+4);
 impulse(g);
 title ("Impulse response of a PT2 transfer function");

Produces the following figure

Figure 1

The following code

 clf;
 s = tf('s');
 g = 1/(2*s^2+3*s+4);
 h = c2d(g,0.1);
 impulse(h);
 title ("Impulse response of a discretized PT2 transfer function");

Produces the following figure

Figure 1

Package: control