Unit-2

The total time response of a control system is the sum of:

• Transient response and steady-state response

• Steady-state response and error response

• Error response and dynamic response

• Damping response and natural response

Which parameter defines the oscillatory nature of second-order system response?

• Natural frequency

• Damping ratio

• Gain constant

• Time constant

The rise time for an underdamped second-order system is approximately:

• 1/ωn

• π/ωn

• (1.8/ωn)

• Depends on damping ratio and natural frequency

Which of the following is NOT a standard test signal?

• Step input

• Ramp input

• Parabolic input

• Triangular input

Laplace transform of unit parabolic input is:

• 1/s³

• 1/s²

• 1/s

• s²

Standard test signals are primarily used to:

• Evaluate transient characteristics

• Evaluate steady-state errors

• Determine system type and constants

• All of the above

A ramp input corresponds to which physical situation?

• Sudden change in position

• Constant velocity motion

• Constant acceleration motion

• Sinusoidal disturbance

Which test input is mainly used for determining acceleration error constant (Ka)?

• Step input

• Ramp input

• Parabolic input

• Impulse input

Steady-state error is caused by:

• Non-linearity in system

• Difference between input and output after transients vanish

• Oscillatory response

• Noise in system

A Type-0 system has:

• Finite error for step input, infinite for ramp

• Zero error for step input, finite for ramp

• Finite error for parabolic input

• Zero error for ramp input