Read e-book online Introduction to Simulink with Engineering Applications, PDF

By Steven Karris

An introductory textual content on Simulink to supply a whole reference at the topic. incorporates a plethora of examples with step by step options. comprises historical past details for college kids and dealing execs who will not be conversant in definite subject matters. for more information. please stopover at the Orchard courses web site

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Additional info for Introduction to Simulink with Engineering Applications, Second Edition

Example text

Repeat Exercise 1 using integrator blocks in lieu of the transfer function block. 3. Repeat Exercise 1 using the State Space block in lieu of the transfer function block. 4. Using the State−Space block, create a model for the differential equation shown below. 5 V * The electric circuits presented in this texts can be easily converted to their mechanical equivalent circuits where a voltage source can be replaced by a force f, a resistor can be replaced by a dashpot B, an inductor can be replaced by a mass M, and a capacitor can be replaced by an inverse spring constant 1/K.

5 V 2 We let x 1 = v C dv dv d vC and x 2 = --------C- . Then, x· 1 = --------C- = x 2 , and x· 2 = ----------. Expressing the given 2 dt dt dt equation as 2 d v dv -----------C = – --------C- – v C + 2 sin ( t + 30° ) – 5 cos ( t + 60° ) = – x 2 – x 1 + 2 sin ( t + 30° ) – 5 cos ( t + 60° ) 2 dt dt we obtain the state−space equations 1−38 Introduction to Simulink with Engineering Applications, Second Edition Copyright © Orchard Publications Solutions to End−of−Chapter Exercises x· 1 = x 2 x· 2 = – x 2 – x 1 + 2 sin ( t + 30° ) – 5 cos ( t + 60° ) In matrix form, x x· x· = Ax + Bu ⇒ 1 = 0 1 1 + 1 ( 2 sin ( t + 30° ) – 5 cos ( t + 60° ) ) ·x 2 0 –1 –1 x2 y = Cx + Du ⇒ 0 1 x1 x2 + 0 ( 2 sin ( t + 30° ) – 5 cos ( t + 60° ) ) subject to the initial conditions x0 = x 10 x 20 = 0 0 Our simulation model is as shown below after specifying the conditions and values below.

This is the first library in the Simulink group of libraries and contains the blocks shown below. In this chapter, we will describe the function of each block included in this library, and their application will be illustrated with examples. 1 The Inport, Outport, and Subsystem Blocks Inport blocks are ports that serve as links from outside a system into the system. Outport blocks serve as links from the system to an outside system. A Subsystem block represents a subsystem of the system that contains it.

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