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ENGR5001 / Week 2
ENGR202 2021 Q3Past paperOld spec ENGR2022:115 marks18 min

ENGR202 Summer 2021 Q3[VALID]

Answer BOTH parts (a) and (b).

Formulas you may need
  • First order model: τdxdt+x=Ku(t)\tau\dfrac{dx}{dt} + x = Ku(t); unit step response x(t)=K(1−e−t/τ)x(t) = K\left(1 - e^{-t/\tau}\right) (learn this)
  • Graphical estimates: K=x(t→∞)u(t→∞)K = \dfrac{x(t\to\infty)}{u(t\to\infty)}; τ\tau = time to reach 63% of the final change (learn this)
  1. (a)
    Mechanistic and graphical methods were both used to develop mathematical models in this module. With the support of examples, briefly describe the key features of these two approaches.
    [6]
  2. (b)
    Evaluate the advantages and disadvantages of the two methods from part (a). Suggest how they could complement each other.
    [9]