Canete J.F. System Engineering and Automation: An Interactive Educational Approach
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228 Appendix C: The SIMULINK Interactive Tutorial
The Trigonometric Function block performs the trigonometric functions sin, cos, tan,
asin, acos, atan, and the hyperbolic functions sinh, cosh, tanh, asinh, acosh, and atanh.
C.3.5 Lookup Table Library
This section is an introduction to the Lookup Table Library of SIMULINK. We
will describe the function of some blocks included in this library (fig. C.15).
Fig. C.15 The SIMULINK Lookup Tables Library
Lookup Table
The Lookup Table block computes an approximation to a function
where the data vectors x and y are given, and it is required that the x data vector
must be monotonically increasing.
Lookup Table (2−D)
C.3 SIMULINK Libraries 229
The Lookup Table (2−D) block computes an approximation for a function
, when the data points x, y, and z are given.
Lookup Table (n−D)
The Lookup Table (n−D) block n−dimensional interpolated table lookup
including index searches. The table is a sample representation of a function of N
variables.
C.3.6 Discontinuities Library
This section is an introduction to the Discontinuities Library of SIMULINK. We
will describe the function of some blocks included in this library (fig. C.16).
Fig. C.16 The SIMULINK Discontinuities Library
230 Appendix C: The SIMULINK Interactive Tutorial
Saturation
The Saturation block sets upper and lower bounds on a signal. When the input
signal is within the range specified by the Lower limit and Upper limit parameters,
the input signal passes through unchanged.
Dead Zone
The Dead Zone block generates zero output within a specified region, called its
dead zone. The lower and upper limits of the dead zone are specified as the Start
of dead zone and End of dead zone parameters.
Rate Limiter
The Rate Limiter block limits the first derivative of the signal passing through it.
Backlash
The Backlash block implements a system in which a change in input causes an
equal change in output. However, when the input changes direction, an initial
change in input has no effect on the output.
Relay
The Relay block output can switch between two specified values. When the relay
is on, it remains on until the input drops below the value of the Switch off point
C.3 SIMULINK Libraries 231
parameter. When the relay is off, it remains off until the input exceeds the value of
the Switch on point parameter.
C.3.7 Signal Routing Library
This section is an introduction to the Signal Routing Library of SIMULINK. We
will describe the function of some blocks included in this library (fig. C.17).
Fig. C.17 The SIMULINK Signal Routing Library
Mux
232 Appendix C: The SIMULINK Interactive Tutorial
The Mux block combines its inputs into a single output. An input can be a scalar,
vector, or matrix signal.
Demux
The Demux block extracts the components of an input signal and outputs the
components as separate signals.
Switch
The Switch block outputs the first (top) input or the third (bottom) input
depending on the value of the second (middle) input. The first and third inputs are
the data inputs. The second input is the control input.
From
The From block accepts a signal from a corresponding Goto block , and passes it
as output.
Goto
The Goto block passes its input to its corresponding From blocks. From and Goto
blocks allow us to pass a signal from one block to another without actually
connecting them.
C.3.8 Ports and Subsystems Library
This section is an introduction to the Ports and Subsystems Library of SIMULINK.
We will describe the function of some blocks included in this library (fig. C.18).
C.3 SIMULINK Libraries 233
Fig. C.18 The SIMULINK Ports and Subsystems Library
234 Appendix C: The SIMULINK Interactive Tutorial
Inport, Outport, and Subsystem
Inport blocks are ports that serve as links from outside a system into the system.
Outport blocks are output ports for a subsystem. A Subsystem block represents a
subsystem of the system that contains it. As our model increases in size and
complexity, we can simplify it by grouping blocks into subsystems.
C.3.9 User-Defined Functions Library
This section is an introduction to the User-defined Functions Library of SIMULINK.
We will describe the function of some blocks included in this library (fig. C.19).
Fig. C.19 The SIMULINK User-defined Functions Library
Fcn
C.3 SIMULINK Libraries 235
The Fcn block applies a specified expression to its input denoted as u. If u is a
vector, u(i) represents the ith element of the vector; u(1) or u alone represents the
first element. The specified expression can consist of numeric constants, arithmetic
operators, relational operators, logical operators, and the math functions.
MATLAB Fcn
The MATLAB Fcn block applies the specified MATLAB function or expression
to the input.
C.3.10 Additional Linear Library
This section is an introduction to the Additional Linear Library of SIMULINK,
which is embedded into the SIMULINK Extras Library. We will describe the
function of some blocks included in this library (fig. C.20).
Fig. C.20 The SIMULINK Additional Linear Library
236 Appendix C: The SIMULINK Interactive Tutorial
Transfer Fcn (with initial states)
Transfer Fcn (with initial output)
Zero-Pole (with initial states)
Specify the initial output for the transfer function as a ratio of polynomials.
Zero-Pole (with initial ouput)
Specify the initial output for the transfer function given by zero, pole, and gain
format.
States-Space (with initial ouput)
Specify the initial output for the system given in state space format.
C.3 SIMULINK Libraries 237
PID Controller
Implements the proportional-integral-derivative action based on the proportional,
integral and derivative gains.
PID Controller (with Approximate Derivative)
Implements the proportional-integral-derivative action, with derivative term
implemented using an s/(s/N +1) transfer function block.