Dynamics and Control in Science and Technology Dynamical systems are ubiquitous in our world. In this week we have seen that dynamical equations arise from various biological, social, and engineering problems, and even virus spreading like Covid-19 can be studied via a set of differential equations. After we have specified the dynamical equations, it becomes our choice to simplify the model, assign input, state, and output, to define the goals of feedback control for such systems. 1. Write down a differential equation for a dynamical system that you find interesting. This equation must be different from the examples already discussed in the lectures and worked examples. [2 marks] 2. Explain the physical meaning (definition) of each signal showing up in your equation [2 marks] 3. Explain the physical meaning (definition) of each parameter showing up in your equation [2 marks] 4. If the equation comes from literature, provide a reference. If you derived the equation by yourself, briefly explain your ideas of working. [2 marks] 5. Define clearly a practical goal for such a system. It can be simple but should be specific and clear. For example, you can say x1(t) represents the money I have at time t, therefore, I choose x1(t) as the system output and hope this output goes to 1000000000aud – that is the goal of my system. [2 marks]

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Hi there, this question is for control systems. Could I get help in completing it? Thanks.

Dynamics and Control in Science and Technology
Dynamical systems are ubiquitous in our world. In this week we have seen that dynamical equations arise
from various biological, social, and engineering problems, and even virus spreading like Covid-19 can be
studied via a set of differential equations. After we have specified the dynamical equations, it becomes our
choice to simplify the model, assign input, state, and output, to define the goals of feedback control for
such systems.
1. Write down a differential equation for a dynamical system that you find interesting. This equation
must be different from the examples already discussed in the lectures and worked examples. [2 marks]
2. Explain the physical meaning (definition) of each signal showing up in your equation [2 marks]
3. Explain the physical meaning (definition) of each parameter showing up in your equation [2 marks]
4. If the equation comes from literature, provide a reference. If you derived the equation by yourself,
briefly explain your ideas of working. [2 marks]
5. Define clearly a practical goal for such a system. It can be simple but should be specific and clear.
For example, you can say x1(t) represents the money I have at time t, therefore, I choose x1(t) as
the system output and hope this output goes to 1000000000aud – that is the goal of my system. [2
marks]
Transcribed Image Text:Dynamics and Control in Science and Technology Dynamical systems are ubiquitous in our world. In this week we have seen that dynamical equations arise from various biological, social, and engineering problems, and even virus spreading like Covid-19 can be studied via a set of differential equations. After we have specified the dynamical equations, it becomes our choice to simplify the model, assign input, state, and output, to define the goals of feedback control for such systems. 1. Write down a differential equation for a dynamical system that you find interesting. This equation must be different from the examples already discussed in the lectures and worked examples. [2 marks] 2. Explain the physical meaning (definition) of each signal showing up in your equation [2 marks] 3. Explain the physical meaning (definition) of each parameter showing up in your equation [2 marks] 4. If the equation comes from literature, provide a reference. If you derived the equation by yourself, briefly explain your ideas of working. [2 marks] 5. Define clearly a practical goal for such a system. It can be simple but should be specific and clear. For example, you can say x1(t) represents the money I have at time t, therefore, I choose x1(t) as the system output and hope this output goes to 1000000000aud – that is the goal of my system. [2 marks]
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