Page 205 - MATLAB an introduction with applications

190 ——— MATLAB: An Introduction with Applications

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Vukic, Z., Kuljaca, L., Donlagic, D. and Tesnjak, S., Nonlinear Control Systems, Marcel Dekker, Inc., New
York, NY, 2003.
Welbourn, D.B., Essentials of Control Theory, Edward Arnold, 1963.
Weyrick, R.C., Fundamentals of Automatic Control, McGraw-Hill, New York, NY, 1975.

PROBLEMS

P3.1: [Reduction of multiple subsystems]: Reduce the system shown in Fig. P3.1 to a single transfer function,
T(s) = C(s)/R(s) using MATLAB.

G8(s)
+
R(s) + +
G1(s) G3(s) G6(s)
– + –
G7(s)
+ C(s)
+
G2(s) G4(s)
+

G5(s)

Fig. P3.1
The transfer functions are given as
G (s) = 1/(s + 3)
1
2
G (s) = 1/(s + 3s + 5)
2
G (s) = 1/(s + 7)
3
G (s) = 1/s
4
G (s) = 7/(s + 5)
5
2
G (s) = 1/(s + 3s + 5)
6
G (s) = 5/(s + 6)
7
G (s) = 1/(s + 8)
8
P3.2: Obtain the unit-step response plot for the unity-feedback control system whose open loop transfer
function is
8
() =
Gs
( ss + 1)(s + 3)

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