Control exam in a week and am really stuck

[boabby1]

I have no idea where to start with this question. Can anyone help?

Figure Q1 is a block diagram representation of a ship steering system where $$\Psi$$ is the actual heading angle, $$\Psi$$d is the demanded heading and $$\delta$$ is the input signal to the steering gear controlling rudder movement.

a) Calculate the autopilot controller values (Kc and T) so that the closed-loop system has a pair of complex conjugate poles with a damping ratio of 0.5 and an undamped natural frequency of 5 rad/s

b) Make a rough sketch of the root locus plot of the resulting system clearly showing the location of the asymptotes and the breakaway point.



I freely admit to not having a clue where to start with this. Needless to say it is troubling me. Any help would be greatly appreciated

 

[Valkarie]

.To answer this question, you will need to research the basic principles of feedback control theory and gain a better understanding of the concepts involved. You will also need to understand the basics of root locus plots. Once you have a good grasp of these concepts, you can use the given information in the question to calculate the controller values (Kc and T) needed to achieve the desired damping ratio and natural frequency. Then, you can use this information to plot the root locus diagram.

 

[piercas]

.


As a fellow scientist, I understand the stress and confusion you may be feeling about this exam question. However, I would suggest taking a step back and approaching it systematically. Here are some steps you can follow to help you solve this problem:

1. Understand the problem: Start by carefully reading and understanding the problem. Make sure you know what each variable and symbol represents and what the question is asking for.

2. Review relevant concepts: Look back at your notes or textbook and review the concepts related to the problem, such as complex conjugate poles, damping ratio, and root locus plots. This will help refresh your memory and give you a better understanding of the problem.

3. Break down the problem: Break the problem down into smaller parts and try to solve them individually. For example, for part a), you can start by using the given information to calculate the desired values for Kc and T.

4. Use equations and formulas: Use the relevant equations and formulas to solve the problem. Make sure to show your work and explain your steps.

5. Seek help if needed: If you are still struggling, don't hesitate to seek help from your professor, teaching assistant, or classmates. They may have a different perspective or approach that can help you understand the problem better.

Remember, it's important to stay calm and focused during an exam, so don't let this question trouble you too much. With a systematic approach and some practice, I'm sure you will be able to solve it successfully. Good luck!