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The system shown in Figure represents the problem of stabilizing the attitude of a rocket during takeoff or controlling the

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The system shown in Figure represents the problem of stabilizing the attitude of a rocket during takeoff or controlling the balance of a personal transporter. The applied force f represents that from the side thrusters of the rocket or the tangential force on the transporter wheels. For small angles, Newton's law for the system reduces to
MLθ - (M + m)gθ = f
Where f is the control variable. Design a control law to maintain θ near zero. The specifications are ζ = 0.707 and a 2% settling time of 8 sec. The parameter values are M = 40 slugs, m = 8 slugs, L = 20 ft, and g = 32.2 ft/sec2.
L.
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L.

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Since the desired value of 18 is 0 the error signal is e …View the full answer


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System Dynamics

System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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Question Posted: March 17, 2016 03:31:36
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