System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 12, Problem 12.3P
It is desired to control the angular displacement 9 of a space vehicle by controlling the applied torque T supplied by thrusters (Figure Pl2.3). The plant model is Design a compensator for this plant. The system must have a settling time no greater than 4 sec and a steady-state error of zero for a step command, and the dominant roots of the closed-loop system must have < > 0.45.
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1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter.
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(Figure 1 One Wheel Model), Part1-(Derive equation of motion for a given system and obtain transfer function and state space representation.) , part2-(Draw closed-loop diagram for full-state- feedback controller.) , part3- (Select proper coefficient (u=-Kx) satisfying that .) part4- (Simulate the closed-loop system and show the response of it.) Note: Tahe Reference signal as With f = 0.1 Hz. !!!!!!!!! Please solve these steps, at least the first step which is writing the equations of motion of the system and the second step which is drawing closed loop diagram for Full state feedback controller.!!!!
For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)
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