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What effect does increasingg the system gain have upon a SECOND ORDER STEADY-STATE ERROR?

a) It has no effect on the system steady state error

1 Answer

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Final answer:

In general, increasing system gain decreases steady-state error in second order systems, except for type 1 and higher systems where steady-state error to step inputs is already zero.

Step-by-step explanation:

The question relates to control systems in engineering, specifically the impact of system gain on steady-state error in second order systems. Increasing the system gain typically decreases the steady-state error for a type 0 system. This is because the system gain is inversely related to the steady-state error, which means as the gain (K) increases, the steady-state error decreases.

However, for type 1 and higher systems, the steady-state error to a step input is zero regardless of the system gain. For these systems, increasing gain does not affect the steady-state error to step inputs, but it still could affect other parameters such as transient response or stability.

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