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The longitudinal dynamics of the aircraft is defined by: x = Ax+Bu, A= B=BT = [0 B=BE = [0 0 0 0 0 0 a. b. 0 -0.05 0 0.05 -0.3 unstable With the thrust only input or the elevator only input, the corresponding B matrices are: 0 0 For measurements C=C₁ = [1 0 0 0 0], C=C₁ = [0 1 0 0 o], C=C₂ = [0 0 1 0 0] Is the uncontrolled, open loop system? 1 -0.2 0 0 0 0.001 000 -2 -0.1] asymptotically stable 0 -1 0 0.1 1 0 -1 -1 1 -0.7 C. not asymptotically stable d. unstable o 1 > of either the altitude, speed or pitch angle, the corresponding C matrices are: y = Cx

The longitudinal dynamics of the aircraft is defined by: x = Ax+Bu, A= B=BT = [0 B=BE = [0 0 0 0 0 0 a. b. 0 -0.05 0 0.05 -0.3 unstable With the thrust only input or the elevator only input, the corresponding B matrices are: 0 0 For measurements C=C₁ = [1 0 0 0 0], C=C₁ = [0 1 0 0 o], C=C₂ = [0 0 1 0 0] Is the uncontrolled, open loop system? 1 -0.2 0 0 0 0.001 000 -2 -0.1] asymptotically stable 0 -1 0 0.1 1 0 -1 -1 1 -0.7 C. not asymptotically stable d. unstable o 1 > of either the altitude, speed or pitch angle, the corresponding C matrices are: y = Cx

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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The longitudinal dynamics of the aircraft is defined by: x = Ax+Bu, A = B = BŢ =[ 0 B = BĘ =[ 0 a. b. C. 0 0 0 0 unstable 0 -0.05 0 0.05 -0.3 With the thrust only input or the elevator only input, the corresponding B matrices are: d. unstable 0 0 asymptotically stable 1 -0.2 0 0 0 0.001 0001¹ 0-2 -0.1] 0 0 1 −1 1 For measurements of either the altitude, speed or pitch angle, the corresponding C matrices are: C = C₁ = [1 0 ooo], a C=C₁ = [01 0 0 0], C=C₂ = [0 0 1 0 0] - P Is the uncontrolled, open loop system? not asymptotically stable −1 0.1 0 -1 -0.7 " y = Cx
Transcribed Image Text:The longitudinal dynamics of the aircraft is defined by: x = Ax+Bu, A = B = BŢ =[ 0 B = BĘ =[ 0 a. b. C. 0 0 0 0 unstable 0 -0.05 0 0.05 -0.3 With the thrust only input or the elevator only input, the corresponding B matrices are: d. unstable 0 0 asymptotically stable 1 -0.2 0 0 0 0.001 0001¹ 0-2 -0.1] 0 0 1 −1 1 For measurements of either the altitude, speed or pitch angle, the corresponding C matrices are: C = C₁ = [1 0 ooo], a C=C₁ = [01 0 0 0], C=C₂ = [0 0 1 0 0] - P Is the uncontrolled, open loop system? not asymptotically stable −1 0.1 0 -1 -0.7 " y = Cx
For the system matrices defined in Question 10, identify the measurement for which the pair of triples (A,B,C) are both observable and controllable. a. (A,B,C),(A, BE, C₁) b. (A,B,C), (A,B,C,) ○ C. (A,B₁,C₂), (A, B₁, C₂) d. None of them
Transcribed Image Text:For the system matrices defined in Question 10, identify the measurement for which the pair of triples (A,B,C) are both observable and controllable. a. (A,B,C),(A, BE, C₁) b. (A,B,C), (A,B,C,) ○ C. (A,B₁,C₂), (A, B₁, C₂) d. None of them
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