CHAPTER 4 Q

is an interconnection of components forming a system configuration that will provide a desired system response. Closed system Open system System control System

Which of the following conditions cause steady-state error? O the load is too large O a low gain setting of the proportional amplifier O the command signal setting all of the above

The arm angle, e (t), is controlled by a closed-loop system. The input (reference) to the system is the desired angle, and the output is the actual angle. A controller uses the difference between the desired angle and the actual angle to drive the motor, resulting in a motor torque applied to the system. motor torque(t) houlder joint damping(B) The customer wants to make a system to have 1) O steady-state error 2) Less than 10% overshoot 3) Less than 1- For a step inp **ling time Arm length (/) Mass(m) g design a controller to meet the design spec above. 1) Design a controller to meet the design spec. 2) Evaluate your controller using step response (time response) 3) Evaluate your closed-loop system using frequency response (e.g., Bandwidth, Gain margin. Phase margin).

Please consider the following closed-loop Multiple-Input Multiple-Output (MIMO) control system: R₁(s) and R2(s) are the reference signals (or inputs), • G₁(s) (where i = 1,2,3,4,5) are the plant transfer functions, • C₁(s) and C2(s) are the responses (or system outputs), • All of them are in Laplace domain. R2 + R₁ + + G₂(s) G3(S) Tasks: G5(s) G4(s) + G₁(s) می a) Please derive the transfer function between C₁ (s) and R₂(s) (i.e., find R₂(s) (10 marks) (10 marks) b) Please derive the transfer function between C₂(s) and R₁(s) (i.e., find C2 (s)). R₁(s) Hint: Please carefully analyse how the signals interact with the plants G₁(s) and find all paths from

Dynamics of a current controller DC motor is given as follows: Ktim = Jmẞ +bmẞ where, ẞ denotes the shaft angle (output), i, is the motor current (input), K, is the torque constant, im is rotor inertia along the rotation axis, bm is the coefficient of viscous friction for the rotor. im=0.4kgm, bm = 0.1Nms/rad, K, = 0.48 Nm/ A Initial conditions are zero. Obtain the transfer function of the system, Design a lead controller such that the static velocity error constant is improved by a factor of 13 when compared to the case of unit feedback. Use unit ramp for both cases. Moreover, gain margin should be at least 10 dB and the phase margin should be at least 40 degrees. Clearly show all the necessary steps. (When computing max. phase lead, consider additional 34.33 degrees for safety) Using MATLAB's margin function, indicate the phase margin and the gain margin of the controlled system. Show this Bode plot, steps used. Using MATLAB/Simulink, simulate the controller. Compare it with respect…

6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.

throttle actuator velocity v intake pipe throttle angle (aTH) slope (a) For vehicle speed control example our control task as follow: Desired (specified) behaviour: keep vehicle speed constant Manipulation: automatically adjust gas/brake pedal position Show block diagram representation clearly.

Dynamics of a current controller DC motor is given as follows: KimJm+bB where, ẞ denotes the shaft angle (output), i, is the motor current (input), K, is the torque constant, im is rotor inertia along the rotation axis, b, is the coefficient of viscous friction for the rotor. im= 0.48gm, bm = 0.2Nms/rad, K, = 0.96 Nm/A Initial conditions are zero. Obtain the transfer function of the system, Design a lead controller such that the static velocity error constant is improved by a factor of 13 when compared to the case of unit feedback. Use unit ramp for both cases. Moreover, gain margin should be at least 10 dB and the phase margin should be at least 40 degrees. Clearly show all the necessary steps. (When computing max. phase lead, consider additional 34.33 degrees for safety) Using MATLAB's margin function, indicate the phase margin and the gain margin of the controlled system. Show this Bode plot, steps used. Using MATLAB/Simulink, simulate the controller. Compare it with respect to unit…

Part I Set the controls as follows. • Xo = -10 cm • k = 40 N/m • m = 8 kg Now hit start and observe the motion of the block and the plots on the graphs for position, velocity, and acceleration. Which of the following statements accurately describes your observation? (Select all that apply.) The maximum displacement was 10 cm. The maximum displacement was 0 cm. The speed of the block remained constant. The acceleration of the block remained constant. The frequency of the block remained constant. The period of the block remained constant. Part II Set the controls as follows. . • Xo = -10 cm • k = 40 N/m • m = 2 kg . Now hit start and observe the motion of the block and the plots on the graph for position, velocity, and acceleration. Which of the following statements accurately describes your observation? (Select all that apply.) The minimum displacement is the same as in Part I. The minimum displacement is half what it was in Part I. The minimum displacement is twice what it was in Part…

%.VE I CLASS: 4th A 0: E 2_5361633277343... 1 Term Exam (2014-2015) Q1 The following block diagram represents the drying oven control system. The dynamic behavior of the oven can be represented by following differential equation: de (1) 10 +00(0) = v(1) di Calculate the following: a-Natural frequency, and damping ratio b-The response of the system to step change in 0,(t) of 20 C° E(s) 0. (s) V(s) 30 Oven 2 3+4. (50M) For the control system shown in figure find an expression for C(s) in terms of R₁(s) and R₂(s). R₁(s) 2 C(s) 5 Ra(s) (50M) Examiner FOUNDATION OF TECHNICAL EDUCATION COLLEGE OF TECHNOLOGY/KIRKUK Fuel & Energy ENG. DEP. CLASS 4 SUB.: Cont. & Measur DATE 3/6/2015 TIME:3 Hours / المجنح الامتحانية المركزية لسنة الدراسية. 2014-2015 Final Exam (2014-2011 A The following block diagram represents the PI control to a chemical process .The process is described by the following differential equation.:: dy(t) 2 + y(t) = 2v(t) dt Calculate the following: a-Natural frequency a, and…

Q: Discuss the control system (the level controller and the temperature controllers) shown in figure (2). Specify the controlled and manipulated variable in each case. Discuss the type of the controller used in each case, that is, a simple feedback controller, a feedforward controller, a cascade controller, etc. Draw the block diagram of the temperature control loops. Feed Reactor temperature set point (master) TC Water surge tank i Jacket itemperature i set point (slave) TC LC-LT Reactor Cooling water out Product Cooling water makeup Circulation pump Figure (2)

Answer all questions in HANDWRITING ONLY

One of the disadvantage of negative feedback loop is lag caused because it can only be exerted after controlled variable has been disturbed. In order to minimize lag between a change in a controlled variable and the action of the effector, it is advantageous for the body to anticipate any likely change. Which one of the following physiological mechanism achieves this? Select one: a. Feedbackward control b. Feedforward control c.Positive feedback control d. All of the above e. None of the above

A soccer player kicks the ball into the net. From a motor learning perspective, the player seeing the final outcome (i.e., the goal) is getting: all the answers are correct KR feedback KP feedback general feedback kinematic feedback

Which claim is correct? A transfer function model for a stable process always has no time-delay. Feedforward control can be solely used for the setpoint tracking If a process has 3 inputs and 3 outputs, then we need to build 6 transfer function models for it. The inner loop of cascade control has to be slower than the outer loop No correct answer

Example 1.1 Figure 1.5 shows the block diagram of a closed-loop flow control system. Identify the following elements: (a) the sensor, (b) the transducer, (c) the actuator, (d) the transmitter, (e) the controller, (f) the manipulated variable, and (g) the measured variable. In the figure above, the (a) sensor is labeled as the pressure cell. The (b) transducer is labeled as the converter. However, there are two converters: one for converting pressure to current, and another converting current to pressure for operating the actuator. The (c) actuator is labeled as the pneumatic valve. The (d) transmitter is labeled as the line driver. The (e) controller is labeled as the PLC. The (f) manipulated variable is labeled as the pressure developed by the fluid flowing through the orifice plate. The (g) measured variable is the flow rate of the liquid.

CLASS: 4th 1st Term Exam (2014-2015) Q1 The following block diagram represents the drying oven control system. The dynamic behavior of the oven can be represented by following differential equation: 100.(1) dt +0₁(t) = v(t) Calculate the following: a-Natural frequency on and damping ratio b-The response of the system to step change in 0,(t) of 20 C° E(s) On (s) 0:(s) V(s) 30 Oven 2 + S+4.