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Problem on linear equation

Assignment:

A magnetically suspended steel ball can be described by the linear equation

1336_Linear equation.jpg

The state variables are X₁ = position, and X₂= velocity, and both are measurable. Select a feedback format so that the system is critically damped and the settling time (2% criterion) is 2 seconds. Solve for K₁ and K₂.

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Electrical Engineering: Problem on linear equation

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