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3. Controls. Please provide complete, correct, mathematical and scientific solut

ID: 1719586 • Letter: 3

Question

3. Controls. Please provide complete, correct, mathematical and scientific solution done on computer or by hand. Please, emphasis on mathematical and correct solution. This is all the information provided. Thank you very much.

Problem 2 (10 pts). Managing a pizzeria requires a large amount of individual skill. Even if not generally recognized, the manager needs an intuitive ability to utilize feedforward and feedback control methods. (5 pts) The objective of the manager during a typical day is to produce enough cheese pizzas such that customers do not need to wait too long to get their slice nor do the customers need to eat pizza that has been sitting out for a long time and is no longer fresh. This is a process, requiring the skillful use of both feedback and feedforward mechanisms. The manager uses the number of pizza slices that are ready to reheat and the number of customers as the measured variables. The manager aims to keep this to 16 slices during the lunch time Explain how managing the number of pizza slices during the lunch time resembles a control system composed of a feedback and feedforward controller. Provide a technical description for your answer What is the information used to design the feedforward controller? Specify the setpoint, control variable (s), manipulated variable (s), and disturbance variable (s)

Explanation / Answer

a> a control system works on the grounds that henever the feed (the number pizza slices) are either below or above the reuired set mark of 16 slices during the lunch time then the control system responds accordingly to keep the feed set at the required level.

a control system with a feed forward and a feedback controller system is capable to performing such a task.

whenever the number of pizza slices are more or less that the 16 slices mark the feedforard system sends signals to the controller (manager) that e need to maintain the feed . THen the controller sends signals to the actuator (the kitchen) that there is a fluctuation in he feed (pizza slices) so the actuator (kitchen) acts accordingly in order to maintain the feed.

THe feedback system helps in telling the actuator (kichen) by how much need to increase of decrease the feed. So the changes that happen at the actuator end are taken care by the feedback system.

And once the feed(pizza slices) are on par with the set limit the control system goes back to the normal position.

b> to design the feedforard controller

need to a pre designed code or data that could be feed into the controlsystem , that help in countering the fluctuations in the feed.the feedforard controller acts based on the predictions of the plant behaviour (requirs model)

the feedforard controller can act before the error actually occurs.

c> the st point is 16 pizza slices.

cotrol variable is the pizza slices that are ready to reheat.

manipulated variables are : cold pizza slices and the number of customers waiting too long for their pizza slice

disturbance variable is the number of customers

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