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4) For the given system below, R(s) 25 C(s) a) Find the time step response c(0)...
Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the...
Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the system when G(s)= and then specify forced $+4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s)= and then (s+2)(s+5) specify forced and natural parts of the response.
An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace...
An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace transform to find the impulse response B] Determine the steady-state response (a long time after 0) to the input x(t) ?(t-?)-cos(2t) u(t) C] Realize this system using direct form II
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable pa...
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable parameter pl(s) Dal(sKp+ g) Assuming W-0, find the transfer function Y(s)/R(s) h) Assuming R-0, find the transfer function Y(s)/W(s) i) What is the type of the system (with respect to steady-state error)? j) What is the steady-state error when rt)u(t) (unit-step) and w(t)-0 k) What is the s.s. error when r(t) t u(t) and w(t)-0 ) Assume r(t)-0, what is the...
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is...
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
For the closed-loop system shown, and given: C(s) 8.41 s+8.10 G(8 2 0.02 3.00 2out G(s) C(s) control plant Part A-Plant 1% settling time Find the 1% settling time of the plant G(s) to a unit step inp...
For the closed-loop system shown, and given: C(s) 8.41 s+8.10 G(8 2 0.02 3.00 2out G(s) C(s) control plant Part A-Plant 1% settling time Find the 1% settling time of the plant G(s) to a unit step input. 15.38 t,3% - Submit X ncorrect; Try Again - Part B Plant: Overshoot Find the overshoot of the plant G(s)to a unit step input. Give your answer as a percentage Mp: | Value Units Submit Request Answer Part C - Closed-loop system:...
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Consider following block diagram, R(s) G(s) c(s) 5 a) Find time-domain unit-step response c(t) of the...
Consider following block diagram, R(s) G(s) c(s) 5 a) Find time-domain unit-step response c(t) of the system when G(s)=– , and then specify forced S +4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s) == and then (s + 2)(s +5) specify forced and natural parts of the response.
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0...
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0.9)-10:491 -ones (1,50) s- conv(u,h) 2. Plot h and u using stem function for 50 samples only stem(10:491, s(1:50) 1. Given a system described by the following difference equation: yIn] 1143yn 1 0.4128y[n -2 0.0675x[n0.1349xn 0.675x[n-2] Determine the output y in response to zero input and the initial conditionsy-11 and yl-2] 2 for 50 samples using the following commands: a -,-1.143,...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response...
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response to a unit step input. b) Find the steady state error. c) Sketch the time response.
Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the system when G(s)= and then specify forced $+4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s)= and then (s+2)(s+5) specify forced and natural parts of the response.
An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace transform to find the impulse response B] Determine the steady-state response (a long time after 0) to the input x(t) ?(t-?)-cos(2t) u(t) C] Realize this system using direct form II
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable parameter pl(s) Dal(sKp+ g) Assuming W-0, find the transfer function Y(s)/R(s) h) Assuming R-0, find the transfer function Y(s)/W(s) i) What is the type of the system (with respect to steady-state error)? j) What is the steady-state error when rt)u(t) (unit-step) and w(t)-0 k) What is the s.s. error when r(t) t u(t) and w(t)-0 ) Assume r(t)-0, what is the...
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
For the closed-loop system shown, and given: C(s) 8.41 s+8.10 G(8 2 0.02 3.00 2out G(s) C(s) control plant Part A-Plant 1% settling time Find the 1% settling time of the plant G(s) to a unit step input. 15.38 t,3% - Submit X ncorrect; Try Again - Part B Plant: Overshoot Find the overshoot of the plant G(s)to a unit step input. Give your answer as a percentage Mp: | Value Units Submit Request Answer Part C - Closed-loop system:...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Consider following block diagram, R(s) G(s) c(s) 5 a) Find time-domain unit-step response c(t) of the system when G(s)=– , and then specify forced S +4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s) == and then (s + 2)(s +5) specify forced and natural parts of the response.
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0.9)-10:491 -ones (1,50) s- conv(u,h) 2. Plot h and u using stem function for 50 samples only stem(10:491, s(1:50) 1. Given a system described by the following difference equation: yIn] 1143yn 1 0.4128y[n -2 0.0675x[n0.1349xn 0.675x[n-2] Determine the output y in response to zero input and the initial conditionsy-11 and yl-2] 2 for 50 samples using the following commands: a -,-1.143,...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response to a unit step input. b) Find the steady state error. c) Sketch the time response.
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