1. A SYSTEM is an arrangement of
components connected or related in such a
manner as to form and/or act as an entire
2. The word CONTROL is usually taken to
mean regulate, direct or command.
3. A CONTROL SYSTEM is an
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SIGNAL FLOW GRAPH
STATE MODELS SIGNAL FLOW GRAPH STATE MODELS
The state of a system describes a systems dynamic
behaviour when the dynamics of the system are
represented by a series of first-order differential
Predict the response to be expected of a system which has been modelled by
1' - D2+0.75-D+0.25 .
if it experienced an input r(t) = 2 .
Note that the TF is given in the time domain (i.e. the Ddomain). This is indicated both by th
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5.5 SIMPLE THIRD-ORDER SYSTEM
The simple third-order transfer function is
- = , K = K7113 5.22
R 53+al-s+a2-s+a3 - ( )
RESPONSE FREQUENCY RESPONSE
The frequency response of a system is defined as the
steady-state response of the system to a sinusoidal input
Let us consider a first order transfer function, as shown
C(s) / R(s) = K / (s+a)
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DYNAMIC CHARACTERISTICS OF SIMPLE SECOND-ORDER SYSTEMS
The response of
E = 52+2-t;-o.in-s+(un2 (A3.
to step input was presented in some detail in Chapter 3 and in Chapter 5. Fig.
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THE COMPLETE SET OF RULES
Fig. I ? show the eleven Rules together and in an abbreviated form.
BACKGROUND TO RULES
Rules 1, 2, 6, and 7 are fairly self-evidenL Briey,
Rule 1: Number of branch [cell in a root locus