10-08-2012, 12:23 PM
Introduction to Simulink® with Engineering Applications
Introduction To Simulink.pdf (Size: 8.62 MB / Downloads: 180)
Introduction to Simulink
his chapter is an introduction to Simulink. This author feels that we can best introduce
Simulink with a few examples. Tools for simulation and model−based designs will be presented
in the subsequent chapters. Some familiarity with MATLAB is essential in understanding
Simulink, and for this purpose, Appendix A is included as an introduction to MATLAB.
Simulink and its Relation to MATLAB
The MATLAB® and Simulink® environments are integrated into one entity, and thus we can
analyze, simulate, and revise our models in either environment at any point. We invoke Simulink
from within MATLAB. We begin with a few examples and we will discuss generalities in subsequent
chapters. Throughout this text, a left justified horizontal bar will denote the beginning of
an example, and a right justified horizontal bar will denote the end of the example. These bars
will not be shown whenever an example begins at the top of a page or at the bottom of a page.
Also, when one example follows immediately after a previous example, the right justified bar will
be omitted.
First Method − Assumed Solution
Equation (1.5) is a second-order, non-homogeneous differential equation with constant coefficients,
and thus the complete solution will consist of the sum of the forced response and the natural
response. It is obvious that the solution of this equation cannot be a constant since the derivatives
of a constant are zero and thus the equation is not satisfied. Also, the solution cannot
contain sinusoidal functions (sine and cosine) since the derivatives of these are also sinusoids.
However, decaying exponentials of the form where k and a are constants, are possible candidates
since their derivatives have the same form but alternate in sign.