Solution Found!
The linearized model of a particular network link working
Chapter 10, Problem 40(choose chapter or problem)
A ship's roll can be stabilized with a control system. A voltage applied to the fins' actuators creates a roll torque that is applied to the ship. The ship, in response to the roll torque, yields a roll angle. Assuming the block diagram for the roll control system shown in Figure P10.12, determine the gain and phase margins for the system.
Questions & Answers
QUESTION:
A ship's roll can be stabilized with a control system. A voltage applied to the fins' actuators creates a roll torque that is applied to the ship. The ship, in response to the roll torque, yields a roll angle. Assuming the block diagram for the roll control system shown in Figure P10.12, determine the gain and phase margins for the system.
Step 1 of 4
Plot Construction
The scaled, normalized open loop transfer function is given by
\(\begin{aligned} G(s) & =5 \cdot \frac{0.5}{5} \cdot \frac{9}{9} \cdot \frac{1}{\frac{s}{5}+1} \cdot \frac{1}{\frac{s^{2}}{9}+\frac{1.2 s}{9}+1} \\ & =0.5 \cdot \frac{1}{\left(\frac{s}{5}+1\right)} \cdot \frac{1}{\left(\frac{s^{2}}{3^{2}}+\frac{(2)(0.2) s}{3}+1\right)} \end{aligned}\)