q7_dynamic_soln

# q7_dynamic_soln - 16.881 Robust System Design Solution to...

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16.881 – Robust System Design Solution to Quiz #7 Design of Dynamic Systems You are designing a light truck steering system. Customer surveys indicate that drivers prefer a consistent response of the steering system under a wide range of driving conditions (speeds, road surfaces, weather conditions, etc). The following data were collected to evaluate a baseline design: Turning radius (feet) Steering wheel angle (degrees) Noise condition level 1 Noise condition level 2 Noise condition level 3 5 330 336 333 45 72 74 77 90 37 38 36 1) What problems might you run into if you performed a continuous-continuous dynamic signal to noise analysis using steering wheel angle as the signal and turning radius as the response? What would you choose as the signal factor and response of the system to make a continuous-continuous dynamic signal to noise analysis feasible? Sketch a graph (or a few graphs) to support your choice. A sketch of the data shows that there is very little variance due to the induced noise as compared to the variation caused by the signal factor. In other words, this system seems to be very repeatable. However, if the turning radius is taken as the response, the relationship is highly non-linear and has a non-zero y intercept. If you use the Taguchi definition of β which is essentially a regression with a zero y intercept, you get a very poor fit to the data. Error variance will be extremely high. You can get a better fit by allowing for a non-zero y intercept. However, the clear non-

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q7_dynamic_soln - 16.881 Robust System Design Solution to...

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