Title: Control Systems: Manual vs Automatic, Open-loop vs Closed-loop, Advantages and Disadvantages, Elements, and Controller Design
a) In your own words, explain the difference between manual control and automatic control.
b) In your own words, explain the difference between open-loop control systems and closed-loop control systems.
c) State the advantages (benefits) and disadvantages of closed-loop control.
d) State in detail the different elements of control systems.
e) In your own words, explain the steps that need to be taken to design controllers.
Question #2: Identify a real-life control system. Explain how it works. State in detail its different elements. Explain how you can improve its performance.
Question #3: Identify a control system which you use (or have used). Identify its sensors, its actuators, its controller, and the disturbances that can act on it.
Question #4: Find the Laplace transforms of the following functions:
a) f(t) = 10
b) f(t) = cos(15t) for t > 0
c) f(t) = sin(5t + 3) for t < 0
Question #5: Using the FVT (Final Value Theorem), find the final value of f(t) whose transform is given by F(s) = s/(s+5). Verify this result by taking the inverse Laplace transform of F(s) and letting t approach infinity.
Question #6: Using the IVT (Initial Value Theorem), find the values of f(0+) and f(0-) given that F(s) = s+5.
Question #7: Find the inverse Laplace transform of the following functions:
a) F(s) = 3s + 5
b) F(s) = s(s + 4s + 20)/(9s+2)(8s+3s+4)
Check your answer using MATLAB.