Excercise 1: Controller design. The block diagram for an aircraft's attitude control system is shownbelowControllerPlant2s4еC(s)s20.1s4пWe will attempt to design a controller that meets the following specifications:Rise time of less than 1.2 secondsSettling time of less than 4 secondsSteady-state error less than 1%, for a step inputFor sensor-noise rejection reasons, the controller's gain cannot exceed 10(a) Find the (closed-loop) transfer function fromr to y, for a proportional controller C(s) = kp.(b) Translate the given specifications into constraints on the values of Ç, wnsecond-order system.andfor a standard(c) Sketch by hand the root locus for the purely proportional controller. Please briefly explain the rulesyou applied to obtain your sketch, and show calculations for any asymptotes.

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Answered: Excercise 1: Controller design. The…

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter47: Solid-state Adjustable Speed Control

Section: Chapter Questions

Problem 5SQ

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A binary code to represent the decimal digits [0-9] must contain at least four bits because 3digits can only represent until the decimal number _____ a) 8 b) A c) 7 d) 9 The effect in which the measurement is attempted to be modified is called_____ a) Preventive maintanance b) corrective maintenance c) calinration d) loading The controller that produces a control action preportional to the error is called_____________ a) derivative b) integral c) proportional d) on-off controller
Consider a home heating system consisting of a natural gas-fired furnace and a ther- mostat. In this case the process consists of the interior space to be heated. The ther- mostat contains both the measuring element and the controller. The furnace is either on (heating) or off. Draw a schematic diagram for this control system. On your diagram, identify the process outputs and all inputs, including disturbance variables.
What do you mean by I controller? Draw the electronic circuit of I controller and also write the electronic output equation and General controller output equation.?
How is stability qualitatively defined for a closed-loop system? An unbounded input produces an unbounded output. A bounded input produces a bounded output. A bounded input produces an unbounded output. 4. An unbounded input produces a bounded output. What is the main disadvantage of using proportional controllers? expensive difficult to maintain nonzero offset 4. uncontrolled oscillations The set point is entered into which hardware component of a control system? process controller measuring device final control element
Determine the strength value for the proportional controller (error) and Integral Controller (sum of errors) Note: provide step by step strength calculation error: NE = 0.5Z=0.5PE =0 Sum of errors: NE = 0 Z = 0.2 PE = 0.8
a) If a PI controller or Lag controller is added to a system, briefly explain what is intended in system performance.b) If we consider the application of these two controllers to the system separately, what are the differences between them?c) For a Type 0 system with unit step input, show the output curves that will be obtained when PI and Lag controllers are applied separately on a single graph.
For the P-only control , briefly explain changes in controller gain and offset (steady-state error) when PB (Proportional Band) (i) increases (ii) decreases
3. What is the effect of adding a zero to the root locus? And a pole? 4. What does the compensation consist of? 5. When is it introduced into a system? 6. How can we characterize a controller when we design it? Valve
5.- Design a microcontroller system to control a sprinkler controller that performs the following tasks. We assume that your microcontroller is clocked at 10 MHz and has a 16-bit free-running counter. The sprinkler controller system controls two different zones by turning the sprinklers within each zone on and off. To turn on the sprinklers in a zone, the controller needs to receive a 152.589 Hz PWM signal from its microcontroller. To turn off the sprinklers in the same zone, the controller needs to receive the PWM signal with a different duty cycle. B.- After 15 min, your microcontroller must send the PWM signal with a 15% duty cycle of 10 ms to turn off the sprinklers in zone one.
5.- Design a microcontroller system to control a sprinkler controller that performs the following tasks. We assume that your microcontroller is clocked at 10 MHz and has a 16-bit free-running counter. The sprinkler controller system controls two different zones by turning the sprinklers within each zone on and off. To turn on the sprinklers in a zone, the controller needs to receive a 152.589 Hz PWM signal from its microcontroller. To turn off the sprinklers in the same zone, the controller needs to receive the PWM signal with a different duty cycle. D.-After 15 min, your microcontroller must send the PWM signal with a 25% duty cycle of 10 ms to turn off the sprinklers in zone two.
A PID controller has a test input signal: Unit Ramp. Kp=3, Ki=0.60, Kd=8. Determine the controller output at t=4 seconds. A Unit Ramp function has a value of zero prior to t=0, and a slope of 1 after t=0. ans:1
What will be the controller output for a Proportional Integral Derivative controller i) Initially and ii) after T= 1 seconds after the error begins to change from zero at the rate of 2%/s.The controller has Kp=3.5,KD=0.4 seconds and KI=0.01 /seconds.

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