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You are given an unstable plant with a transfer function P(s) = Tote -1 R(S) Y(8)...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negati...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
SOLVE USING MATLAB A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to desig...
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Give me the explanation plz 2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) =...
Give me the explanation plz
2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
A transfer function is given by G(s) H (s) = s(s+1 ) (s + 8 (a)...
A transfer function is given by
G(s) H (s) = s(s+1 ) (s + 8 (a) Design a Lead Compensator or PD controller such that the closed loop has the following specifications: Percent Overshoot (PO) 16 % Rise time 0.4 sec-2.16 ? + 0.6 (b) Determine the velocity error constant (Kv) of the uncompensated and compensated systems.
Consider the feedback sy PID COntroller Plant R(S) Y(s) the closed-loop transfer function T(s) = Y...
Consider the feedback sy PID COntroller Plant R(S) Y(s) the closed-loop transfer function T(s) = Y controller (Kp Find er p 1, Ks K ) and show that the system is marginally stable with two imaginary roots. (s)/R(s) with no sabl thosed-loop transfer function T(s) Y (S/R(s) with the (three- term) PID controller added to stabilize the system. suming that Kd 4 and K, -100, find the values (range) of Kp that will stabilize the system.
1. Consider the following feedback control system Controller Process 1 G(s) R(s) Y(s) $2+5s+6 Below are...
1. Consider the following feedback control system Controller Process 1 G(s) R(s) Y(s) $2+5s+6 Below are two potential controllers for this system: 1) Ge(s) K (Proportional controller) 2) Ge(s) K(1 1/s) (Proportional-integral controller) The design specifications are t 3.2s and P. 0. 10% for a unit step input (a) Determine the area on the S-plane where the dominant closed loop poles must be located such that the design requirements are satisfied. (b) Sketch the root locus with each of the...
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...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) -...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Give me the explanation plz
2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
A transfer function is given by
G(s) H (s) = s(s+1 ) (s + 8 (a) Design a Lead Compensator or PD controller such that the closed loop has the following specifications: Percent Overshoot (PO) 16 % Rise time 0.4 sec-2.16 ? + 0.6 (b) Determine the velocity error constant (Kv) of the uncompensated and compensated systems.
Consider the feedback sy PID COntroller Plant R(S) Y(s) the closed-loop transfer function T(s) = Y controller (Kp Find er p 1, Ks K ) and show that the system is marginally stable with two imaginary roots. (s)/R(s) with no sabl thosed-loop transfer function T(s) Y (S/R(s) with the (three- term) PID controller added to stabilize the system. suming that Kd 4 and K, -100, find the values (range) of Kp that will stabilize the system.
1. Consider the following feedback control system Controller Process 1 G(s) R(s) Y(s) $2+5s+6 Below are two potential controllers for this system: 1) Ge(s) K (Proportional controller) 2) Ge(s) K(1 1/s) (Proportional-integral controller) The design specifications are t 3.2s and P. 0. 10% for a unit step input (a) Determine the area on the S-plane where the dominant closed loop poles must be located such that the design requirements are satisfied. (b) Sketch the root locus with each of the...
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...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
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