Ast A42 Ass A16 A32 A43 Ase A23 A72 Fig. 8-34 Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, (e) self-loop. Determine the (f) loop gains of the feedback loops, (g) path gains of the forward paths.
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- 1) Consider the system below: Vehicle Controller Steering dynamics Desired Actual bearing angle bearing angle 50 1 K s2 + 10s + 50 s(s + 5) Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control. • Find a K value that the system has minimum rise time and minimum overshoot. Let us call this proportional gain as Kopt Show each step while finding Kopt- Show the necessary graphical solutions. Simulate the system response with 3 different K values. (Kopt and two other K values close to Kopt) Show the system response (actual bearing angle) in a single graph for different K values. • Comment on the results.The open loop transfer function of a humanoid's arm control system is given as: K G(s) = 2 s(s + 2s + 2) (a) Clearly locate all poles and zeros on a linear graph paper. Provide calculations for the following: asymptote angles, centroid for asymptotes, and departure angle from complex pole. (b) Plot the complete root locus, with the locus on the real axis is clearly shown. Use the scale of 4 cm : 1 unit for both axes and choose the longer side of the graph paper as the real axis.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)
- 1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter. Example. 1. Open Loop - Water Heater: Input - Water Temperature (Cold) System - Heating Element Output - Water Temperature (Hot) 2. Closed Loop - Air-conditioning System Input - Desired Room Temperature Control - Motor controller/Compressor/ACU Feedback - Temperature Sensing Output - Room Temperaturea)is the aircraft stable about the equilibrium represented by the transfer function? b) Using proportional feedback,what is the range of acceptable gains for the closed loop systen to be stable? c) Design a feedback control system that allows the pilot to command a pitch angle with overshoot less than or equal to 4.15% and a natural frequency of greater than or equal to 0.99 rad/s d) Design a feedback control system that allows the pilot to command a pitch angle with the same overshoot and a natural frequency of one half the system in part c.3. Sketch a house's heating system which containing a gas furnace that heats water which circulates to radiators on the walls, and a thermometer that is connected to a control module that can turn the furnace on or off. The outside temperate is Text, the inside temperature is T, and the desired temperature is Ta. Describe the elements of the feedback control loop.
- . the (b) A block diagram for arc welding process control in depicted as in Figure controller regulates the arc current, which results changes in the wire-melting process if error occurred. Determine the transfer function of this closed loop system. Controller Wire-melting process Are Desired Error K $ + 2 current Puddle diameter (0.5s + 1)(s + 1) diameter Measured Vision system diameter 0.005s + 1 FigureName two effects of negative feedback.The ratio of output to input of a system is known as Transfer function. Select one: O True O False Coloct the cinmple cuctom fcom the fellouuing
- 9 Reduce the following block-diagram into one block. (Describe the control system with one transfer function and write it.) * W2 W1 W3Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.öalg äbäi The closed-loop system transfer function of a control system is given by the following figure, for unit step input what is the * ?output 2(s – 2) R(s) (s +2)(s + 1) c(s) | %D a- -1+e-2t – e-t b- -1 – e-2t + e-t c- -1 + 4e-2t – 3e-t d- -1 – 4e-2t + 3e¬t a d