aa
Section 5–5 / Transient-Response Analysis with MATLAB 183
0
s
s
jv
In this region
z 0.4
s
t^4
s^
Figure 5–17
Region in the
complex plane
satisfying the
conditionsz>0.4
andts<4/s.
it is frequently necessary to adjust one or more system parameters in order to obtain suit-
able configurations. The effects of varying system parameters on the closed-loop poles
will be discussed in detail in Chapter 6.
5–5 Transient-Response Analysis with MATLAB
Introduction. The practical procedure for plotting time response curves of systems
higher than second order is through computer simulation. In this section we present the
computational approach to the transient-response analysis with MATLAB. In particular,
we discuss step response, impulse response, ramp response, and responses to other simple
inputs.
MATLAB Representation of Linear Systems. The transfer function of a system
is represented by two arrays of numbers. Consider the system
(5–35)
This system can be represented as two arrays, each containing the coefficients of the
polynomials in decreasing powers of sas follows:
num = [2 25]
den = [1 4 25]
An alternative representation is
num = [0 2 25]
den = [1 4 25]
C(s)
R(s)
=
2s+ 25
s^2 +4s+ 25
