aa
Section 5–5 / Transient-Response Analysis with MATLAB 203
Unit-Step Response
t Sec
024681012
Output
1
0.2
0
1.2
0.6
0.4
0.8
1.4
(a)
Response to Exponential Input u = e−t
t Sec
−0.2 024681012
(b)
Exponential Input and System Output
0.8
0
1
0.4
0.2
0.6
1.2
Exponential Input
Ouput
Figure 5–29
(a) Unit-step
response;
(b) response to input
u=e–t.
Response to Initial Condition. In what follows we shall present a few methods
for obtaining the response to an initial condition. Commands that we may use are “step”
or “initial”. We shall first present a method to obtain the response to the initial condi-
tion using a simple example. Then we shall discuss the response to the initial condition
when the system is given in state-space form. Finally, we shall present a command initial
to obtain the response of a system given in a state-space form.
