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At t=0, a step function of height 5 is applied to the transfer function shown Input...
please show steps For the system shown in the figure. a. Find the transfer function 0,(s)/T(S)....
please show steps
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop the transfer function, G(s) e2(S) T(s) (b) Find the percent overshoot, settling time, and peak time for 2(t). T(t) 0,(t) 02(t) 1.07 kg-m2 I Oooo 1.53 N-m-s/rad 1.92 N-m/rad Figure 1
Zon=1-EST for the system shown in the figure below the transfer function of the plant is...
Zon=1-EST for the system shown in the figure below the transfer function of the plant is 10 G(s) : (3+5) - the input signal Rat) is unit step & the sampling S time (T-1 sec.) Determine the time response of the system and draw the spectrum UCH) Rest piant Cis) Zuh V. range K
Problem 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) =...
Problem 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) = Ro/s) is applied to a system whose block diagram model is given below in Figure 8.24. The corresponding step response measurement is shown in Figure 8.25. In the sten response measurement, note that peak time is to = - ( 1.96) and the peak value is ctp) = 2.2. The open-loop transfer function G(s) is of the form $(8 + a) where a and...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A sin(at +) respectively and ti are shown in the following figure. Determine the most suitable values for A and . a. A = 1.67 and $ = 45° b. A = 1.67 and $ = -45° C. A = 0.6 and $ = 45° d. A = 0.6 and 6 = -45° 9. Routh criterion is applied to check the stability of polynomials +s...
Suppose that the zero-state response to the step input for a plant with transfer function G0(s)...
Suppose that the zero-state response to the step input for a plant with transfer function G0(s) is given by y0(t) for each t 0. Answer the following questions. Your answers are expected to be expressed in terms of y0. 1) What is the zero-state response to the same plant but for the input given by u(t) = t for each t 0 and u(t) = 0 for each t < 0? 2) Consider now the transfer function G(s) = s2G0(s)...
Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the ou...
Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the output C(s) will track asymptotically any step reference input R(s). Find the resulting overall transfer function T(s) R(s) Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the output IN- 11.Find the state equations and output equation for the phase-variable representation of the transfer function G(s) 2s+1/(s2+7s+ 9) 12. Convert the state and output equations shown to a transfer function. -1.5 2 u(t) X = X 4 0 Y [1.5 0.625]x 13. For each system shown, write the state equations and the output equation for the phase- variable representation 8s10 sh25 t26...
System Modeling and Laplace transform: In this problem we will review the modeling proce- dure for the RLC circuit as shown below, and how to find the corresponding transfer function and step respons...
System Modeling and Laplace transform: In this problem we will review the modeling proce- dure for the RLC circuit as shown below, and how to find the corresponding transfer function and step response Ri R2 Cv0) i2) i,(0) 3.1 Considering the input to be V(t) and the output to be Ve(t), find the transfer function of the system. To do that, first derive the differential equations for al the three loops and then take the Laplace transforms of them. 3.2...
please show steps
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop the transfer function, G(s) e2(S) T(s) (b) Find the percent overshoot, settling time, and peak time for 2(t). T(t) 0,(t) 02(t) 1.07 kg-m2 I Oooo 1.53 N-m-s/rad 1.92 N-m/rad Figure 1
Zon=1-EST for the system shown in the figure below the transfer function of the plant is 10 G(s) : (3+5) - the input signal Rat) is unit step & the sampling S time (T-1 sec.) Determine the time response of the system and draw the spectrum UCH) Rest piant Cis) Zuh V. range K
Problem 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) = Ro/s) is applied to a system whose block diagram model is given below in Figure 8.24. The corresponding step response measurement is shown in Figure 8.25. In the sten response measurement, note that peak time is to = - ( 1.96) and the peak value is ctp) = 2.2. The open-loop transfer function G(s) is of the form $(8 + a) where a and...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A sin(at +) respectively and ti are shown in the following figure. Determine the most suitable values for A and . a. A = 1.67 and $ = 45° b. A = 1.67 and $ = -45° C. A = 0.6 and $ = 45° d. A = 0.6 and 6 = -45° 9. Routh criterion is applied to check the stability of polynomials +s...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the output IN- 11.Find the state equations and output equation for the phase-variable representation of the transfer function G(s) 2s+1/(s2+7s+ 9) 12. Convert the state and output equations shown to a transfer function. -1.5 2 u(t) X = X 4 0 Y [1.5 0.625]x 13. For each system shown, write the state equations and the output equation for the phase- variable representation 8s10 sh25 t26...
System Modeling and Laplace transform: In this problem we will review the modeling proce- dure for the RLC circuit as shown below, and how to find the corresponding transfer function and step response Ri R2 Cv0) i2) i,(0) 3.1 Considering the input to be V(t) and the output to be Ve(t), find the transfer function of the system. To do that, first derive the differential equations for al the three loops and then take the Laplace transforms of them. 3.2...
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