Subject: Control System
Note: Please explain each and every step So we can understand it easily.I will be thankful to you ❣️
Problem Statement The objective of this project is to design a controller C(s for a given plant P(s. For this project, the plant is an airplane.The objective of the controller is to control the roll angle of the airplane.
9
Ps) s+10s+8
C(s)
P(s)
Figure 1:Unity feedback structure for Role angle control of an airplan
A block diagram representation of this system can be seen in Figure 1, where C(s is the controller that we want to design Of course, this block diagram representation is an over simplification of an actual airplane.
The design specifications for the overall closed-loop transfer function are the following: Zero steady-state error (or near zero if possible) that corresponds to a unit step input u(t). An overshot less than or equal to 10% i.e. % OS 10% Settling time ts1.5s
I. Given the above design specifications, design a P controller (C(s=K. Are you able to satisfy the design specifications given above? Explain your response. Plot the step response and the steady state error as a function of time. 2. Design a PI controller or Lag compensator that satisfies the above specifications. Are you able to satisfy the
as a function of time. 3. Repeat the second question given that you want to design a PD controller or lead compensator.
4 Repeat the second question given that you want to design a PID controller or lead-lag compensator. 5. Which controller from the above three (P,PI,PD,PID would you eventually use for the given system? Justify your answer.
