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EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Textbook Question
Chapter 11, Problem 11.36P
The following equations are the model of the roll dynamics of a missile ([Bryson. 1975]). See Figure Pl 1.36.
where 5 = aileron deflection
b = aileron effectiveness constant
it = command signal to the aileron actuator
tp = roll angle, to = roll rate
Using the specific values b = 10s-1 and r = 1 s, and assuming that the state variables 5, to, and tp can be measured, develop a linear state-feedback controller to keep tp near 0. The dominant roots should be s = —10 ± 1 Oj, and the third root should be v = —20.
Expert Solution & Answer
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Students have asked these similar questions
The manometer fluid in the figure given below is mercury where D = 3 in and h = 1 in. Estimate the volume flow in the tube (ft3/s) if the flowing fluid is gasoline at 20°C and 1 atm. The density of mercury and gasoline are 26.34 slug/ft3 and 1.32 slug/ft3 respectively. The gravitational force is 32.2 ft/s2.
Using the Bernoulli equation to find the general solution. If an initial condition is given, find
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y' + xy = xy¯¹, y(0) = 3
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a. 2xydx+x²dy = 0
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c. 6xydx+5(y + x2)dy = 0
Chapter 11 Solutions
EBK SYSTEM DYNAMICS
Ch. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Sketch the root locus plot of ms~ 4- 12s + 10 = 0...Ch. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - PID control action is applied to the plant GPU) =...Ch. 11 - Consider the following equation where the...Ch. 11 - 11.10 In the following equation. K > 0.
j2(j+9) +...
Ch. 11 - 11.11 Consider the following equation where the...Ch. 11 - 11.12 In the following equations, identify the...Ch. 11 - Prob. 11.13PCh. 11 - Prob. 11.14PCh. 11 - Prob. 11.15PCh. 11 - Prob. 11.16PCh. 11 - Prob. 11.17PCh. 11 - Prob. 11.18PCh. 11 - Prob. 11.19PCh. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.23PCh. 11 - Prob. 11.24PCh. 11 - Prob. 11.25PCh. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Prob. 11.29PCh. 11 - Prob. 11.30PCh. 11 - Prob. 11.32PCh. 11 - Prob. 11.33PCh. 11 - Prob. 11.34PCh. 11 - Prob. 11.35PCh. 11 - The following equations are the model of the roll...Ch. 11 - Prob. 11.38P
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