Old spec 3.4 exercise 2Exercise sheetCurrent specThird4 min

ENGR202 (old spec) Control 3.4 Poles, Zeros and Stability, Exercise 2 (hydraulic piling rig)

Hydraulic piling rig. The input is the applied voltage uu and the output xx is the angle of the mast from the vertical. The model is

dxdt=Ku(t)\frac{dx}{dt} = Ku(t)

Determine the stability and interpret the results.

Formulas you may need
  • Laplace with zero initial conditions: x˙→sX\dot x \to sX (learn this)
  • Pole at the origin (single): marginally stable (learn this)