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Question 2 (a) The vertical position, x(f), of the grinding wheel shown in Figure 3 is...
Problem 4 (25%) Consider the attitude control system of a rigid satellite shown in Figure 1.1....
Problem 4 (25%) Consider the attitude control system of a rigid satellite shown in Figure 1.1. Fig. 1.1 Satellite tracking control system In this problem we will only consider the control of the angle e (angle of elevation). The dynamic model of the rigid satellite, rotating about an axis perpendicular to the page, can be approximately written as: JÖ = tm - ty - bė where ) is the satellite's moment of inertia, b is the damping coefficient, tm is...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
2. The block diagram below model a simple DC motor for speed control application. Input V(s)...
2. The block diagram below model a simple DC motor for speed control application. Input V(s) is the desired speed in voltage, and the output Y(s) is the actual speed. Tachogenerator, H, convert the actual speed to corresponding voltage. Amplifier Motor and gears X() 5 Ls +R Tachogenerator H The following parameters are known about the system: Amplifier gain: A=2; Motor inductance: L=5H Tachogenerator gain: H=0.15; Determine the following: The system transfer function The value of the motor resistance, R,...
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo...
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo valve displacement K, u-control input to servo valve Ku = servo motor gan Jturret inertia Ω.-motor natural frequency The quantities d, d, and d represent disturbances, including effects of nonlinearities not accounted for by the K-differential pressure feedback coefficient lincarized model K servo valve gairn After simplification by combining the feedback loops around the integrators, the equivalent block diagram,...
4. Consider the position control of a rigid body, Figure, where u(t) is the control force....
4. Consider the position control of a rigid body, Figure, where u(t) is the control force. An analog PID control law is described as de u)kpe)k kije0)dt; e({)= x4C)x) dt 0 kp. ky only a position sensor is available. are controller gains. Also, xq (t) is the desired position of the mass. It is assumed that kJ where and Derive a difference equation for the implementation of this PID control law on a digital computer. Use backward difference and trapezoidal...
msu Q3. A high-speed proportional solenoid valve is shown in Figure 2.Avoltage proportional to the desired...
msu Q3. A high-speed proportional solenoid valve is shown in Figure 2.Avoltage proportional to the desired position of the spool is applied to the coil. The resulting magnetic field produced by the current in the coil causes the armature to move. A push pin connected to the armature moves the spool. A linear voltage differential transformer (LVDT) that outputs a voltage proportional to displacement senses the spool's position. This voltage can be used in a feedback path to implement closed-loop...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The outp...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
I have some question about PID applied Cruise Control within Simulink. First of all, am a...
I have some question about PID applied Cruise Control within
Simulink.
First of all, am a bit confused about the the property of PID
applied feedback system. According to the following figure, the use
of a PID controller is to minimize or eliminate the difference
between SP and PV. However, since a transfer function has been
applied to the loop which is the process block in the following
diagram then how the difference could be possibly
erased?
For example,...
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is generated by an amplifier whose transfer function is Ga(s) -5 The position sensor has a transfer function H(s) 1 and the pre-compensator transfer function is pot X (s) Ea(s) The "Electro-Mechanical System" block, is X(s) Ea(s) 5.05s3 101s2 +505.2s 100 R(s) Amplifier, |Ea(S)Electro-MechanicalX(S) Controller, Gc(s) K, pot Ga(s) System, G(s) Encoder H(s) Figure 3: Electro-mechanical control system for Question 3 Consider a proportional controller...
Problem 4 (25%) Consider the attitude control system of a rigid satellite shown in Figure 1.1. Fig. 1.1 Satellite tracking control system In this problem we will only consider the control of the angle e (angle of elevation). The dynamic model of the rigid satellite, rotating about an axis perpendicular to the page, can be approximately written as: JÖ = tm - ty - bė where ) is the satellite's moment of inertia, b is the damping coefficient, tm is...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
2. The block diagram below model a simple DC motor for speed control application. Input V(s) is the desired speed in voltage, and the output Y(s) is the actual speed. Tachogenerator, H, convert the actual speed to corresponding voltage. Amplifier Motor and gears X() 5 Ls +R Tachogenerator H The following parameters are known about the system: Amplifier gain: A=2; Motor inductance: L=5H Tachogenerator gain: H=0.15; Determine the following: The system transfer function The value of the motor resistance, R,...
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo valve displacement K, u-control input to servo valve Ku = servo motor gan Jturret inertia Ω.-motor natural frequency The quantities d, d, and d represent disturbances, including effects of nonlinearities not accounted for by the K-differential pressure feedback coefficient lincarized model K servo valve gairn After simplification by combining the feedback loops around the integrators, the equivalent block diagram,...
4. Consider the position control of a rigid body, Figure, where u(t) is the control force. An analog PID control law is described as de u)kpe)k kije0)dt; e({)= x4C)x) dt 0 kp. ky only a position sensor is available. are controller gains. Also, xq (t) is the desired position of the mass. It is assumed that kJ where and Derive a difference equation for the implementation of this PID control law on a digital computer. Use backward difference and trapezoidal...
msu Q3. A high-speed proportional solenoid valve is shown in Figure 2.Avoltage proportional to the desired position of the spool is applied to the coil. The resulting magnetic field produced by the current in the coil causes the armature to move. A push pin connected to the armature moves the spool. A linear voltage differential transformer (LVDT) that outputs a voltage proportional to displacement senses the spool's position. This voltage can be used in a feedback path to implement closed-loop...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
I have some question about PID applied Cruise Control within
Simulink.
First of all, am a bit confused about the the property of PID
applied feedback system. According to the following figure, the use
of a PID controller is to minimize or eliminate the difference
between SP and PV. However, since a transfer function has been
applied to the loop which is the process block in the following
diagram then how the difference could be possibly
erased?
For example,...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is generated by an amplifier whose transfer function is Ga(s) -5 The position sensor has a transfer function H(s) 1 and the pre-compensator transfer function is pot X (s) Ea(s) The "Electro-Mechanical System" block, is X(s) Ea(s) 5.05s3 101s2 +505.2s 100 R(s) Amplifier, |Ea(S)Electro-MechanicalX(S) Controller, Gc(s) K, pot Ga(s) System, G(s) Encoder H(s) Figure 3: Electro-mechanical control system for Question 3 Consider a proportional controller...
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