P6.10 RobotS can he used in njanufacturing and assembly •pcratians thai require accurate, fast, and versatile manipulation [10, 11]. The open-loop Iransfer function of a direct-drive arm may be approximaled by K(s + 10) G(s)H(s) = %3D s(s + 3){s² + ds + 8) (a) Determine the value of gain K when the system (1scillates. (h) Calkulate the roots of the closed-loop system for the K determined in part (a).
P6.10 RobotS can he used in njanufacturing and assembly •pcratians thai require accurate, fast, and versatile manipulation [10, 11]. The open-loop Iransfer function of a direct-drive arm may be approximaled by K(s + 10) G(s)H(s) = %3D s(s + 3){s² + ds + 8) (a) Determine the value of gain K when the system (1scillates. (h) Calkulate the roots of the closed-loop system for the K determined in part (a).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
![### Use of Robots in Manufacturing and Assembly
Robots can be employed in manufacturing and assembly operations that necessitate precision, speed, and flexible manipulation [10, 11]. The open-loop transfer function of a direct-drive arm can be approximated by:
\[
G(s)H(s) = \frac{K(s+10)}{(s+3)(s^2+4s+8)}
\]
#### Problem Statements
(a) **Determine the value of gain \( K \) when the system oscillates.**
(b) **Calculate the roots of the closed-loop system for the \( K \) determined in part (a).**
---
### Explanation of the Diagram (if applicable)
This problem involves analyzing a control system's transfer function, specifically focusing on determining the conditions for system oscillation and the roots of the system equation. The formula provided represents the relationship between the input and output signals in the context of control systems. Tasks (a) and (b) are typical problems dealing with stability analysis and system behavior under varying gain conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb6e49c2-d01d-4438-a99a-92f670cec770%2F7f3199e4-deee-4821-af0a-5ecad1c69398%2Frvwblqw_processed.png&w=3840&q=75)
Transcribed Image Text:### Use of Robots in Manufacturing and Assembly
Robots can be employed in manufacturing and assembly operations that necessitate precision, speed, and flexible manipulation [10, 11]. The open-loop transfer function of a direct-drive arm can be approximated by:
\[
G(s)H(s) = \frac{K(s+10)}{(s+3)(s^2+4s+8)}
\]
#### Problem Statements
(a) **Determine the value of gain \( K \) when the system oscillates.**
(b) **Calculate the roots of the closed-loop system for the \( K \) determined in part (a).**
---
### Explanation of the Diagram (if applicable)
This problem involves analyzing a control system's transfer function, specifically focusing on determining the conditions for system oscillation and the roots of the system equation. The formula provided represents the relationship between the input and output signals in the context of control systems. Tasks (a) and (b) are typical problems dealing with stability analysis and system behavior under varying gain conditions.
Expert Solution
Step 1
According to the question we have to find the value of,
(a) find the value of k
(b) roots for the calculated value of k.
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,