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Put the following differential equations into state-space form. Clearly show and box the A and B matrices. d?f(t) (a) df (t) + 4 dt2 + 3f(t) = r(t) dt d³f(t) d?f(t) + 2 df (t) (b) 4f(t) = r(t) dt3 dt2 dt d3f(t) +5 dt2 d?f(t) d*f(t) dt4 df (t) (c) 4f(t) = FO + 3r(t) dt3 dt

Put the following differential equations into state-space form. Clearly show and box the A and B matrices. d?f(t) (a) df (t) + 4 dt2 + 3f(t) = r(t) dt d³f(t) d?f(t) + 2 df (t) (b) 4f(t) = r(t) dt3 dt2 dt d3f(t) +5 dt2 d?f(t) d*f(t) dt4 df (t) (c) 4f(t) = FO + 3r(t) dt3 dt

Introductory Circuit Analysis (13th Edition)
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...
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I need help with parts b and c. thanks!

 

Hints: dr (t) In part (c), use two control (input) variables: u1 = r(t) and u2 = dt In part (d), you are given a system of two coupled differential equations where the state variables are 0(t) (pitch angle) and a(t) (angle of attack), and the control is &e(t) (elevator deflection).
Transcribed Image Text:Hints: dr (t) In part (c), use two control (input) variables: u1 = r(t) and u2 = dt In part (d), you are given a system of two coupled differential equations where the state variables are 0(t) (pitch angle) and a(t) (angle of attack), and the control is &e(t) (elevator deflection).
Put the following differential equations into state-space form. Clearly show and box the A and B matrices. d?f(t) (a) df (t) + 4 dt2 + 3f(t) = r(t) dt (b) d3r(t) d?f(t) + 2 df (t) 4f(t) = r(t) dt3 dt2 dt d*f(t) d3f(t) +5 dt3 d?f(t) df (t) 4f(t) = "O + 3r(t) dr (t) (c) %3D dt4 dt2 dt dt
Transcribed Image Text:Put the following differential equations into state-space form. Clearly show and box the A and B matrices. d?f(t) (a) df (t) + 4 dt2 + 3f(t) = r(t) dt (b) d3r(t) d?f(t) + 2 df (t) 4f(t) = r(t) dt3 dt2 dt d*f(t) d3f(t) +5 dt3 d?f(t) df (t) 4f(t) = "O + 3r(t) dr (t) (c) %3D dt4 dt2 dt dt
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