Homework Set #1 Solutions



Homework Set #6 - Solutions

Spring 2013 Control Systems 1

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Aux_32 Draw the flow graph for the following transfer function by means of direct decomposition. Assign the state variables x1, x2, x3, and x4 in the diagram.

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Solution

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Aux_33 For the following A, B, and C matrices derive the transfer function C(s)/R(s), You need to use the (sI-A) process.

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Aux_34 For the control system block diagram shown below, derive the Forward-Path transfer function for the system, after it is converted into a Unity-Feedback system.

Solution Aux_34

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Aux_35

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Aux_26 An RLC circuit is shown in Figure P3.1. in the text book (Problems at end of chapter 3). ( a) Identify a suitable set of state variables. ( b) Obtain the set of first- order differential equations in terms of the state variables. ( c) Write the state differential equation , that is the A and B matricies.

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Solution Aux_34 (Authors Solution)

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s-1

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s-1

s-1

s-1

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1

-4.5

-3.5

10

20

C(s)

U(s)

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C(s)

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R(s)

+

_

E(s)

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