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Design a PD controller for mass-spring systems by the Root-Locus Method Mass 2.6Kg Spring stiffness 200N/m Zero Damp...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
design this compensator using root locus? note: answer using root locus 1- Consider a system with the following...
design this compensator using root locus?
note: answer using root locus
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency n6 rad/sec. (8 marks) We were unable to transcribe this image
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency...
Problem 3 A boat of mass m glides through the water, experiencing viscous fluid resistance with...
Problem 3 A boat of mass m glides through the water, experiencing viscous fluid resistance with damping coefficient b. The diagram below shows the control system using a PD controller for the motor. 1n XD (s) 1 X(s) (a) Find the open loop transfer function. (b) Find the closed loop transfer function. (c) This can be modeled as a second order system so its closed loop transfer function fits the form: Cs C2 If a dam ping ratio of ζ...
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...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions,...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions, and closed-loop transfer functions Use the open-loop transfer functions to obtain root locus, Bode plots, and gain and phase margins LU u=-kx + r Closed-loop poles at s --1tj 2
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
PD Controller Design 1 For the closed loop system shown, and given G(s) 35.20 s2+ 0.99 s+ 11.00 Design a PD Controller i.e. where C(s)-Kp + Kds to satisfy the following specifications t 0.03 s...
PD Controller Design 1 For the closed loop system shown, and given G(s) 35.20 s2+ 0.99 s+ 11.00 Design a PD Controller i.e. where C(s)-Kp + Kds to satisfy the following specifications t 0.03 s ts,1%-020 s K3 of 4 ( Qref Ω0ut C(s) plant control Part A-P Gain ▼ Find the P gain (i.e. Kp ) Submit Previous Answers Request Answer X Incorrect; Try Again Part B- D Gain Find the D gain (i.e. Kd)
PD Controller Design 1...
For the closed-loop system shown, and given: Design a PD Controller i.e. where C(s)=Kp+Kds to satisfy the following specifications: For the closed-loop system shown, and given: 26.40 821.25 s+12.00...
For the closed-loop system shown, and given:
Design a PD Controller i.e. where C(s)=Kp+Kds to
satisfy the following specifications:
For the closed-loop system shown, and given: 26.40 821.25 s+12.00 Design a PD Controller i.e. where C(s) - Kp+ Kas to satisfy the following specifications: ess 0.11 to an input of Stref 4.2% :0.20 s Part A P Gain Find the P gain ie. Kp) vec Submit Request Answer Part B-D Gain Find the D gain Gie. Kd) vec Kd Submit...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angle...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
design this compensator using root locus?
note: answer using root locus
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency n6 rad/sec. (8 marks) We were unable to transcribe this image
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency...
Problem 3 A boat of mass m glides through the water, experiencing viscous fluid resistance with damping coefficient b. The diagram below shows the control system using a PD controller for the motor. 1n XD (s) 1 X(s) (a) Find the open loop transfer function. (b) Find the closed loop transfer function. (c) This can be modeled as a second order system so its closed loop transfer function fits the form: Cs C2 If a dam ping ratio of ζ...
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...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions, and closed-loop transfer functions Use the open-loop transfer functions to obtain root locus, Bode plots, and gain and phase margins LU u=-kx + r Closed-loop poles at s --1tj 2
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
PD Controller Design 1 For the closed loop system shown, and given G(s) 35.20 s2+ 0.99 s+ 11.00 Design a PD Controller i.e. where C(s)-Kp + Kds to satisfy the following specifications t 0.03 s ts,1%-020 s K3 of 4 ( Qref Ω0ut C(s) plant control Part A-P Gain ▼ Find the P gain (i.e. Kp ) Submit Previous Answers Request Answer X Incorrect; Try Again Part B- D Gain Find the D gain (i.e. Kd)
PD Controller Design 1...
For the closed-loop system shown, and given:
Design a PD Controller i.e. where C(s)=Kp+Kds to
satisfy the following specifications:
For the closed-loop system shown, and given: 26.40 821.25 s+12.00 Design a PD Controller i.e. where C(s) - Kp+ Kas to satisfy the following specifications: ess 0.11 to an input of Stref 4.2% :0.20 s Part A P Gain Find the P gain ie. Kp) vec Submit Request Answer Part B-D Gain Find the D gain Gie. Kd) vec Kd Submit...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
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