Question: AP10.1 A three-axis pick-and-place application re quires the precise movement of a robotic arm in three-dimensional space, as shown in Figure AP10.1 for joint 2.

AP10.1 A three-axis pick-and-place application re

quires the precise movement of a robotic arm in three-dimensional space, as shown in Figure AP10.1 for joint 2. The arm has specific linear paths it must follow to avoid other pieces of machinery. The over

shoot for a step input should be less than 13%.

(a) Let G s c( ) = K, and determine the gain

that satisfies the requirement. Determine the re

sulting settling time (with a 2% criterion).

(b) Use pole-zero cancellation to reduce the settling time to

T≤ 5 s.

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