Old spec 3.3 example, steady state gain of a Transfer Function (ENGR5001) - Revisica

Old spec 3.3 example, steady state gain of a Transfer FunctionTutorialOld spec ENGR202Third3 min

ENGR202 (old spec) Control 3.3 Transfer Functions, another steady state gain example (slide 10)

A system has the Transfer Function model $X(s) = \frac{s + 12}{s^2 + 6s + 3}U(s)$ Find the steady state gain, and the steady state value of the output when the input is held constant at $u = 10$ .

Formulas you may need

Steady state gain: set $s = 0$ in the Transfer Function; $x(t \to \infty) = \text{gain} \times u_0$ for a constant input $u_0$ (stable system) (learn this)

steady state gain =

x(infinity) for u = 10 =

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