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Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (...
Consider a process with transfer function 3e-2s (0.5s - 1) Gp($) = (10s + 1)(5s +1)(2S + 1) Find an approximate model...
Consider a process with transfer function 3e-2s (0.5s - 1) Gp($) = (10s + 1)(5s +1)(2S + 1) Find an approximate model of first order transfer function plus dead time (FOPDT) using: i. ii. Taylor's expansion Skogestad's Half Rule method.
G / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the...
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
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...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu 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...
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If...
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s...
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s +9 where the position of the mass y0) is in meters. The system is initially at rest, y(O) (0) 0, and the applied force is a step function u(t0 4N Copyrighto Problems 243 a. Accurately sketch the system response y() and label all important performance criteria on your sketch b. Use MATLAB or Simulink to verify your sketch in part (a). Plot y(o) from...
4e-2s Consider a process described by the transfer function: . Assume that all 0.2s+1)(3+1) other devices...
4e-2s Consider a process described by the transfer function: . Assume that all 0.2s+1)(3+1) other devices in the control loop have fast response times and unit gain, except the controller that can have various terms with gains and dynamics. Design a controller by using the direct synthesis approach. Check if the controller that you derived can be converted to a PID controller. If it cannot be converted to a PID form, how should the desired response characteristics be modified to...
a process is described by the following transfer function Gp= 10(0.5_s)e^10s/100s+1 desingn an Imc ( internal...
a process is described by the following transfer function Gp= 10(0.5_s)e^10s/100s+1 desingn an Imc ( internal model controller) for this process show your design with block diagram assuming a perfect model of the process compute the closed loop response for a unit step in set point if the desired closed loop time constant is equal to5
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
(40) 3. Make an approximation of the transfer function (s+10) G(s)-Y(s)/U(s) =__ (s+25) using Euler's approximation....
(40) 3. Make an approximation of the transfer function (s+10) G(s)-Y(s)/U(s) =__ (s+25) using Euler's approximation. Find the actual solution and the approximate solution for a sampling interval T-0.1 sec for t=0, 0.1, 0.2. u(t) = 10tfort O and u(t) =0 fort 30
Consider a process with transfer function 3e-2s (0.5s - 1) Gp($) = (10s + 1)(5s +1)(2S + 1) Find an approximate model of first order transfer function plus dead time (FOPDT) using: i. ii. Taylor's expansion Skogestad's Half Rule method.
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
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...
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s +9 where the position of the mass y0) is in meters. The system is initially at rest, y(O) (0) 0, and the applied force is a step function u(t0 4N Copyrighto Problems 243 a. Accurately sketch the system response y() and label all important performance criteria on your sketch b. Use MATLAB or Simulink to verify your sketch in part (a). Plot y(o) from...
4e-2s Consider a process described by the transfer function: . Assume that all 0.2s+1)(3+1) other devices in the control loop have fast response times and unit gain, except the controller that can have various terms with gains and dynamics. Design a controller by using the direct synthesis approach. Check if the controller that you derived can be converted to a PID controller. If it cannot be converted to a PID form, how should the desired response characteristics be modified to...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
(40) 3. Make an approximation of the transfer function (s+10) G(s)-Y(s)/U(s) =__ (s+25) using Euler's approximation. Find the actual solution and the approximate solution for a sampling interval T-0.1 sec for t=0, 0.1, 0.2. u(t) = 10tfort O and u(t) =0 fort 30
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