TABLE OF CONTENTS This appendix is a brief introduction to Simulink. This author feels that we can best introduce Simulink with a few examples. Some familiarity with MATLAB is essential in understanding Simulink, and for this purpose, Appendix A is included as an introduction 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 will introduce Simulink with a few illustrated examples.
For the circuit of Figure B.1, the initial conditions are i L(0 -) = 0, and v c(0 -) = 0.5 V. We will compute v c(t).
For this example,
and by Kirchoff's voltage law (KVL),
Substitution of (B.1) into (B.2) yields
Substituting the values of the circuit constants and rearranging we obtain:
To appreciate Simulink's capabilities, for comparison, three different methods of obtaining the solution are presented, and the solution using Simulink follows.
First Method - Assumed Solution
Equation (B.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)...
