Question

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A6. Define steady state error. (around 50 words) (5 marks) A7. What is the steady-state error to a constant reference input, r(t) = 3cm 10), for the following feedback positioning system? (10 marks) R(s) E(s) Y(s) 10 S+1 M

Answer 1

A6.)

Steady-state error is defined as the difference between the input (command) and the output of a system in the limit as time goes to infinity (i.e. when the response has reached steady state). The steady-state error will depend on the type of input (step, ramp, etc.) as well as the system type (0, I, or II).

A7)

Where 10 그 Steady stale ergor Less) - 17 SX RCS) sto I+G(s)H(s) R(J) input Laplace transtorm Gus) openloop transfer function, given Ges) and for Unity feedback H(S) -1. 8(t) = 30m constant => R (s) S 3 cm SX RCS) Substitute R(s) = ess S-> Itals) h(s) H(s)=1& G(s) = St] 3 cm a Lt S = sti sx 3 Cri 3 am لار Ess=lt S LE 3 cm ssói sto It 10x1 Stl It 10 It lo sti Otl 3cm ess = = 3cm ] -0.272727 cm. Itlo ess ~ 0.2727hn.