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12. (20 points) A unit feedback system has a forward path of G(s)10612S+5) Find the steady-...
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) =...
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s + 35) Find using Matlab: a) The static error constants Kp, Kv and Ka if the inputs are 15u(t), 15tu(t), and 15t u(t). [15 pts b) The steady-state error for the following inputs: 15u(t), 15tu(t), and 15tu(t). [10 pts
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback S + 7 has transfer function)he input signal is: )Se)+3Sin(2-25). Define the steady-state output of this system Detine
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1...
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
Problem 2: (20 points) Consider a unity feedback system with the following forward path transfer function...
Problem 2: (20 points) Consider a unity feedback system with the following forward path transfer function G(s) = - cla_K(s + a)(8+3) s(s2 +1) (1) Construct the root locus for K >0 and a = 5; (2) Construct the root locus for a > 0 and K = 10.
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity...
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity feedback and unit- step input is applied to the system. If G(s) is given as: K G(s)= s(s4) Draw the block diagram of the system. a) Derive the closed-loop transfer function of the system. b) If the gain K 6, determine the settling time of the resulting second-order system at 2% c) tolerance band Its corresponding steady state error. d) Sketch the controlled output...
1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be...
1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...
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...
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)2)(s +5) is operating with a closed-...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s + 35) Find using Matlab: a) The static error constants Kp, Kv and Ka if the inputs are 15u(t), 15tu(t), and 15t u(t). [15 pts b) The steady-state error for the following inputs: 15u(t), 15tu(t), and 15tu(t). [10 pts
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback S + 7 has transfer function)he input signal is: )Se)+3Sin(2-25). Define the steady-state output of this system Detine
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
Problem 2: (20 points) Consider a unity feedback system with the following forward path transfer function G(s) = - cla_K(s + a)(8+3) s(s2 +1) (1) Construct the root locus for K >0 and a = 5; (2) Construct the root locus for a > 0 and K = 10.
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity feedback and unit- step input is applied to the system. If G(s) is given as: K G(s)= s(s4) Draw the block diagram of the system. a) Derive the closed-loop transfer function of the system. b) If the gain K 6, determine the settling time of the resulting second-order system at 2% c) tolerance band Its corresponding steady state error. d) Sketch the controlled output...
1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...
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...
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)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
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