Consider the following state equation: [1 1 -2' x = 0 1 1 1x0u, y = [200]x Lo 0 1 1 Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues 2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.

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...
icon
Related questions
Question
Consider the following state equation:
[1 1
-2'
x = 0 1
1
1x0u,
y = [200]x
Lo 0
1
1
Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues
2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.
Transcribed Image Text:Consider the following state equation: [1 1 -2' x = 0 1 1 1x0u, y = [200]x Lo 0 1 1 Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues 2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,