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Problem 3 Explain why a proportional control of a plant that does not possess an integrating...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
Problem 6.2 To avoid steady-state error for the thermal plant of Problem 6.1, a PI control is con...
PROBLEM 6.3 ONLY
Problem 6.2 To avoid steady-state error for the thermal plant of Problem 6.1, a PI control is considered by using a compensator having the transfer function s+ e (a) For c-2 as in Problem 5.1, find the value of K which provides a damping factor(-.7. Using this value of K determine the closed-loop step response. (b) Using the "dominant pole" concept, and the standard response curves for second-order systems, (Unit 6 notes) estimate the overshoot and the...
PLEASE DO IN MATLAB Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
SOLVE USING MATLAB A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to desig...
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using pr...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller trans...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
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...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
PROBLEM 6.3 ONLY
Problem 6.2 To avoid steady-state error for the thermal plant of Problem 6.1, a PI control is considered by using a compensator having the transfer function s+ e (a) For c-2 as in Problem 5.1, find the value of K which provides a damping factor(-.7. Using this value of K determine the closed-loop step response. (b) Using the "dominant pole" concept, and the standard response curves for second-order systems, (Unit 6 notes) estimate the overshoot and the...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
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...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
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