Consider the state-feedback control system given by x = Ax+ Bu u=Fx where A = - [47] B-[1], P = (3-2) (a) Find the closed-loop system matrix: Enter closed-loop system matrix (b) The characteristic equation of the above closed-loop system matrix is of the form A²+pX+q=0. Find p and q: p= Show Instructions q= (c) Hence determine the stability of the above closed-loop system: Stable O Unstable Both of the above None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

only HANDWRITTEN answer needed ( NOT TYPED)

Consider the state-feedback control system given by
x = Ax+ Bu
u=Fx
where
A=
- [41], B=[1],F=(3 -21
(a) Find the closed-loop system matrix:
Enter closed-loop system matrix
(b) The characteristic equation of the above closed-loop system matrix is
of the form
A²+pλ +q=0.
Find p and q:
p=
Show Instructions
(c) Hence determine the stability of the above closed-loop system:
O Stable
O Unstable
Both of the above
None of the above
O Not answered
Transcribed Image Text:Consider the state-feedback control system given by x = Ax+ Bu u=Fx where A= - [41], B=[1],F=(3 -21 (a) Find the closed-loop system matrix: Enter closed-loop system matrix (b) The characteristic equation of the above closed-loop system matrix is of the form A²+pλ +q=0. Find p and q: p= Show Instructions (c) Hence determine the stability of the above closed-loop system: O Stable O Unstable Both of the above None of the above O Not answered
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,