SYSC 4405 Midterm: SYSC 4405 Midterm Exam Fall 2007

• School: Carleton University
• Department: Systems and Computer Engineering
• Course: SYSC 4405
• Professor: All

Document Summary

Background: showers can be a waste of energy, because water that is heated in the hot water tank might never be used. One way to solve this is to heat the water as it passes the through the shower. An electrical heater is placed in the water pipe, and (to control the system) a temperature sensor is placed in the shower head, just as the water sprays out. You are the electronics engineer working for a company that plans to build this new type of shower. It is decided to build a dsp based control system. The rst task (covered by this exam) is to characterize the. Input: the input x(t) is the control to the shower heater. It can be either off (x(t) = 0) or on (x(t) = 1). Output: the output y(t) is the water temperature, measured in c. You conduct two tests: 1) turning the system on, x(t) = u(t), gives y(t) = 10 c.