×
Log in to StudySoup
Get Full Access to Control Systems Engineering - 7 Edition - Chapter 3 - Problem 1
Join StudySoup for FREE
Get Full Access to Control Systems Engineering - 7 Edition - Chapter 3 - Problem 1

Already have an account? Login here
×
Reset your password

Represent the electrical network shown in Figure P3.1 in

Control Systems Engineering | 7th Edition | ISBN: 9781118170519 | Authors: Norman J. Nise ISBN: 9781118170519 162

Solution for problem 1 Chapter 3

Control Systems Engineering | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Control Systems Engineering | 7th Edition | ISBN: 9781118170519 | Authors: Norman J. Nise

Control Systems Engineering | 7th Edition

4 5 1 354 Reviews
24
3
Problem 1

Represent the electrical network shown in Figure P3.1 in state space, where vo(t) is the output. [Section: 3.4]

Step-by-Step Solution:

Problem 1

Represent the electrical network shown in Figure P3.1 in state space, where vo(t) is the output. [Section: 3.4]

Step-by-step solution

Step 1 of 2

Add the branch currents and node voltages to the network.

Write the differential equation for each energy storage element,

Therefore,the state vector is

Now obtain , and  in terms of the state variables.First find  in terms of the state variables.

But  and

thus,

Making substitution for  yields

Step 2 of 2

Chapter 3, Problem 1 is Solved
Textbook: Control Systems Engineering
Edition: 7
Author: Norman J. Nise
ISBN: 9781118170519

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Represent the electrical network shown in Figure P3.1 in