Consi der the control system illustrated in Figure P. 2 C(s) R(s) s t Ge(s) s(s...
PID Controller 1) Consider the following block diagram R(s)+ C(o) Use Ultimate sensitivity to tune the PID-controller gains. Po= T,= 2) Consider the following system, use Ziegler-Nichols, quarter decay tuning to design a PID con- troller G(o) 16+I)
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
15.3 A conventional controller is to be used in the scheme shown below in Figure P15.1 for controlling the exit temperature of the industrial heat exchanger first introduced in Problem 14.2. Assuming that Tz, the brine temperature (in °C), remains constant, the transfer function relations for the process have been previously given as: 1 -0.5e-10* (40s I)(15s)(BB (P14.3b) Assume that the valve dynamics are negligible. (a) Use the provided model in a control system simulation package to obtain a process...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
We want to control output(y) using PID control in Kds2+KpS+Ki C(s) S Input(r) is a magnitude1 step. Plant is given by 1 (s+1)(s+2)(s+5) controller plant Y C(s) P(s) a) Calculate Closed Loop characteristics and steady-state error(unity feedback and Kp=1, Kd=1, Ki=0)) 2.Using automatic PID tuning function, reduce steady-state error=0 and report Kp=?, Kd=? And Ki=?
Using MATLAB. We want to control output(y) using PID control in Kds? +Kps+Ki C(s) S Input(r) is a magnitude1 step. Plant is given by 1 (s+1)(s+2)(s+59) controller plant 14 y C(s) P(S) a) Calculate Closed Loop characteristics and steady-state error(unity feedback and Kp=1, Kd=1, Ki=0)) 2.Using automatic PID tuning function, reduce steady-state error=0 and report Kp=?, Kd=? And Ki=?
Using MATLAB. We want to control output(y) using PID control in Kds? +Kps+Ki C(s) S Input(r) is a magnitude1 step. Plant is given by 1 (s+1)(3+2)(s+5 ) controller plant + 14 y C(s) P(S) a) Calculate Closed Loop characteristics and steady-state error(unity feedback and Kp=1, Kd=1, Ki=0)) 2.Using automatic PID tuning function, reduce steady-state error=0 and report Kp=?, Kd=? And Ki=?
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
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...
3. The following step response of system with a proportional controller when Kp is set 10 and Ki=Kd=0. Design a PID controller using Ziegler-Nichols ultimate cycle tuning method. Show all the formulas that you are using. a) (5 points) Tu b) (5 points) Ku d) (10 points) Kir 1 2 3 4 5 6 e) (10 points) Kd=