Introduction to Simulink with Engineering Applications

This chapter is an introduction to the Continuous Blocks library. This is the second library in the Simulink group of libraries and contains the Continuous-Time Linear Systems Sub-Library, and the Continuous-Time Delays Sub-Library blocks shown below. We will describe the function of each block included in this library and we will perform simulation examples to illustrate their application.

The Continuous-Time Linear Systems Sub-Library contains the blocks described in Subsections 3.1.1 through 3.1.5 below.

The Integrator block is described in Chapter 2, Section 2.14, Chapter 2, Page 2 20.

The Derivative block approximates the derivative of its input. The initial output for the block is zero. The accuracy of the results depends on the size of the time steps taken in the simulation. Smaller steps allow a smoother and more accurate output curve from this block. Unlike blocks that have continuous states, the solver does not take smaller steps when the input changes rapidly. Let us consider the following simple example.
We will create a model that will compute and display the waveform of the derivative of the function y = cosx.
The model is shown in Figure 3.1, and the input and output waveforms are shown in Figure 3.2.
To convert the sine function in the Sine Wave block to...