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5. Consider the feedback control system shown below with constant reference w, and constant disturbance d....
Problem Consider the Type 1 system drawn in Fig. We would like to design the compensation Dc(s) to meet the following requirements: (1) The steady-state value of y due to a constant unit disturbance...
Problem Consider the Type 1 system drawn in Fig. We would like to design the compensation Dc(s) to meet the following requirements: (1) The steady-state value of y due to a constant unit disturbance w should be less than s, and (2) the damping ratio-07. Using root-locus techniques, (a) Show that proportional control alone is not adequate. (b) Show that proportional-derivative control will work. (c) Find values of the gains kp and kD for Dc(s)kp kDs that meet the design...
Please answer all the questions with MATLAB and also upload the code. Thanks. 3 Experiment - Matlab controller complexity and steady-state 3.1 Consider the satellite-attitude control problem shown in...
Please answer all the questions with MATLAB and also upload the
code. Thanks.
3 Experiment - Matlab controller complexity and steady-state 3.1 Consider the satellite-attitude control problem shown in following figure where the normalized parameters are J 10 spacecraft inertia; N-m-sec2 /rad erreference satellite attitude; rad actual satellite attitude; rad Hy 1 sensor scale; factor volts/rad Hr = 1 reference sensor scale factor ; volts/rad w= disturbance torque: N-m H, D(s) Js Figure 4: Satellite attitude control Suppose kP =...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass...
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...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
5, (29%) Consider the feedback control system in Figure-5 in block diagram form. The reference input...
5, (29%) Consider the feedback control system in Figure-5 in block diagram form. The reference input R(s), system output Y(s), and disturbance D(s) are denoted along with the error E(s) and control effort F(s). You will design the control law Gc(s) to achieve certain performance criteria. Answer the following questions (assume D(s)0 in all parts except part(ü) (a) [396] Show that the transfer function relating the reference R(s) to the output Y(s) is given by (b) [3%) Assuming a proportional...
6 and controller C(s), as shown in the Consider a unity-feedback control system with plant G(s)-...
6 and controller C(s), as shown in the Consider a unity-feedback control system with plant G(s)- following figure. Reference Error Controller Plant r(t) e(t) u(t) y(t) C(s) G(s) [5] (a) Determine the poles, zeros, order, type, relative degree, and de gain of the plant G(s) and show [5] (b) Can a P controller C(s)Kp stabilize the plant G(s)? If so, find the values of Kp that are [4] (c) Show using the Final Value Theorem that the system with the...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s)...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Problem Consider the Type 1 system drawn in Fig. We would like to design the compensation Dc(s) to meet the following requirements: (1) The steady-state value of y due to a constant unit disturbance w should be less than s, and (2) the damping ratio-07. Using root-locus techniques, (a) Show that proportional control alone is not adequate. (b) Show that proportional-derivative control will work. (c) Find values of the gains kp and kD for Dc(s)kp kDs that meet the design...
Please answer all the questions with MATLAB and also upload the
code. Thanks.
3 Experiment - Matlab controller complexity and steady-state 3.1 Consider the satellite-attitude control problem shown in following figure where the normalized parameters are J 10 spacecraft inertia; N-m-sec2 /rad erreference satellite attitude; rad actual satellite attitude; rad Hy 1 sensor scale; factor volts/rad Hr = 1 reference sensor scale factor ; volts/rad w= disturbance torque: N-m H, D(s) Js Figure 4: Satellite attitude control Suppose kP =...
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...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
5, (29%) Consider the feedback control system in Figure-5 in block diagram form. The reference input R(s), system output Y(s), and disturbance D(s) are denoted along with the error E(s) and control effort F(s). You will design the control law Gc(s) to achieve certain performance criteria. Answer the following questions (assume D(s)0 in all parts except part(ü) (a) [396] Show that the transfer function relating the reference R(s) to the output Y(s) is given by (b) [3%) Assuming a proportional...
6 and controller C(s), as shown in the Consider a unity-feedback control system with plant G(s)- following figure. Reference Error Controller Plant r(t) e(t) u(t) y(t) C(s) G(s) [5] (a) Determine the poles, zeros, order, type, relative degree, and de gain of the plant G(s) and show [5] (b) Can a P controller C(s)Kp stabilize the plant G(s)? If so, find the values of Kp that are [4] (c) Show using the Final Value Theorem that the system with the...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
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