The dynamics of a certain continuous-time SISO system can be described by a state space model [o -0.5 1 *(t) x(t) + u(t) -0.5 0 -1 y(t) = [1 0 0 1]x(t) + u(t) . %3D (a) Is the system controllable? Is it stabilizable, i.e., whether there exists a state feedback such that all eigenvalues of A-BK have negative real parts? (b) Compute the transfer function G(s) of the system and find a minimal realization.

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
The dynamics of a certain continuous-time SISO system can be described by a state space model
[o -0.5
[0.5)
*(t)
x(t) +
u(t)
-0.5
-1
y(t) = [1 0 0 1]x(t) + u(t).
%3D
(a) Is the system controllable? Is it stabilizable, ie., whether there exists a state feedback such
that all eigenvalues of A-BK have negative real parts?
(b) Compute the transfer function G(s) of the system and find a minimal realization.
Transcribed Image Text:The dynamics of a certain continuous-time SISO system can be described by a state space model [o -0.5 [0.5) *(t) x(t) + u(t) -0.5 -1 y(t) = [1 0 0 1]x(t) + u(t). %3D (a) Is the system controllable? Is it stabilizable, ie., whether there exists a state feedback such that all eigenvalues of A-BK have negative real parts? (b) Compute the transfer function G(s) of the system and find a minimal realization.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Root Locus
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.
Similar questions
  • SEE MORE 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,