a process is described by the following transfer function Gp= 10(0.5_s)e^10s/100s+1 desingn an Imc ( internal...
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process is described by the following transfer function Gp=
10(0.5_s)e^10s/100s+1 desingn an Imc ( internal...
14. Consider the solar tracking servo with the following transfer function G,(s) = s(10s +1) G...
14. Consider the solar tracking servo with the following transfer function G,(s) = s(10s +1) G (5) U(s) X (s) X (s) Y(s) a. Draw the well labelled block diagram of a full state feedback digital control system with a closed loop observer and a reference. b. Design a full state digital feedback controller to place the system poles at R2--1+) by employing the feedback law from state space technique.
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.
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...
Consider a mass-spring-damper system (i.e., the plant) described by the following second-order differential equation wh...
Consider a mass-spring-damper system (i.e., the plant) described by the following second-order differential equation where y represents the position displacement of the mass. Our goal is to design a controller so that y can track a reference position r. The tracking error signal is then et)(t). (a) Let there be a PID controller Derive the closed-loop system equation in forms of ODE (b) Draw the block diagram of the whole system using transfer function for the blocks of plant and...
2. The following second-order transfer function was obtained via an identification experiment performed in a small...
2. The following second-order transfer function was obtained via an identification experiment performed in a small neighborhood of a particular stead-state operating condition of a nonlinear process: G(s) = (3s +1)(6s1) (a 5pts.) Use direct synthesis method to design a controller. Assume that the desired closed-loop transfer function is first order and the desired closed-loop time constant is Td = 4. (b 5pts.) Suppose as a consequence of the nonlinearity, this process sometimes passes through a region of operation where...
Design Problems: (1) A robotic system is described by the transfer function P(s)=- 100 s(s +9.7)(s...
Design Problems: (1) A robotic system is described by the transfer function P(s)=- 100 s(s +9.7)(s + 51.2) Use the root locus method to design a lead controller that achieves a closed-loop step response with P.0.5 2.5 %, and a settling time T, < 0.25s (using the 2% criterion). Also, the steady-state error to a unit ramp should be ess < 0.15. (2) This system is open-loop unstable: P(S) = 500 (5 - 1)(s + 10) Using the root locus...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controlle...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Question 2 20 Marks Consider the transfer function, (6-1)(8-2) (82 7s 12)(s +13) G(s) = 1....
Question 2 20 Marks Consider the transfer function, (6-1)(8-2) (82 7s 12)(s +13) G(s) = 1. Using direct synthesis, synthesize a biproper controller with integral action for this process The desired complementary sensitivity function is given by: (T(s)d- where r is a positive integer to be specified in the design, η1 and η2 are constants to be assigned. 2. What will be the dominant feature of the closed-loop response of the output to a step change in the set-point? Justify...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate transfer function of first-order-plus-time-delay form that describes this process (b) Determine and plot the response y(t) of the approximate model, obtained in part (a), for a unit ramp using Skogestad's "Half Rule"; change in u(t) (U(s)
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Us...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
14. Consider the solar tracking servo with the following transfer function G,(s) = s(10s +1) G (5) U(s) X (s) X (s) Y(s) a. Draw the well labelled block diagram of a full state feedback digital control system with a closed loop observer and a reference. b. Design a full state digital feedback controller to place the system poles at R2--1+) by employing the feedback law from state space technique.
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.
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...
Consider a mass-spring-damper system (i.e., the plant) described by the following second-order differential equation where y represents the position displacement of the mass. Our goal is to design a controller so that y can track a reference position r. The tracking error signal is then et)(t). (a) Let there be a PID controller Derive the closed-loop system equation in forms of ODE (b) Draw the block diagram of the whole system using transfer function for the blocks of plant and...
2. The following second-order transfer function was obtained via an identification experiment performed in a small neighborhood of a particular stead-state operating condition of a nonlinear process: G(s) = (3s +1)(6s1) (a 5pts.) Use direct synthesis method to design a controller. Assume that the desired closed-loop transfer function is first order and the desired closed-loop time constant is Td = 4. (b 5pts.) Suppose as a consequence of the nonlinearity, this process sometimes passes through a region of operation where...
Design Problems: (1) A robotic system is described by the transfer function P(s)=- 100 s(s +9.7)(s + 51.2) Use the root locus method to design a lead controller that achieves a closed-loop step response with P.0.5 2.5 %, and a settling time T, < 0.25s (using the 2% criterion). Also, the steady-state error to a unit ramp should be ess < 0.15. (2) This system is open-loop unstable: P(S) = 500 (5 - 1)(s + 10) Using the root locus...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Question 2 20 Marks Consider the transfer function, (6-1)(8-2) (82 7s 12)(s +13) G(s) = 1. Using direct synthesis, synthesize a biproper controller with integral action for this process The desired complementary sensitivity function is given by: (T(s)d- where r is a positive integer to be specified in the design, η1 and η2 are constants to be assigned. 2. What will be the dominant feature of the closed-loop response of the output to a step change in the set-point? Justify...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate transfer function of first-order-plus-time-delay form that describes this process (b) Determine and plot the response y(t) of the approximate model, obtained in part (a), for a unit ramp using Skogestad's "Half Rule"; change in u(t) (U(s)
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
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