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Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its b

7. Let us consider a PID controller as C-1+0.01/s+0.1s and let the simulation time to be from 0 to 100 second with a step of

part 2 & part 3 please...

Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What is the order of the system 4. If m 1, and fo-0, using Matlab/Simulink, what is the step response of the system from fto x Part lI (dealing with the closed loop control system with a PID controller) Using a proportional controller, what will be the closed loop transfer function 5. 1n1 Let us consider the mass-force system under Pl control. What will be the control input in the Laplace transform? 6.
7. Let us consider a PID controller as C-1+0.01/s+0.1's and let the simulation time to be from 0 to 100 second with a step of 0.01second. What is the step response of the system in (6)? 8. Usin g Matlab pidtool(P), find the PID gains (Kp, Ki, Kd) to reach a response time less than 0.2 s and most robust transient response. Let us cons ider now a wind disturbance ws that has a step function model e w that has a step function model Kp Wind Constant 4 In disturbance force ft) What is the transfer function from w to x? Simulate the wind disturbance rejection of the system. Part III (dealing with steady state error and using theorem of final value) (1) Given the control system Ge(s) 4 1, find the steady-state error for the following inputs Unit step Unit ramp (a) For Ge(s) (i) (ii) 0.1 (b) A Pl controller is given by Ge(s)1 Identify the control system type, that is, specify N, and repeat (a). (c) A PD controller is given by Ge(s)1+0.1s Identify the control system type and repeat (a)
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