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ECE4132 Control System Design - MUM S2 2025

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Which of the following statements is true about the state feedback controller using the design

parameters from Q6 and Q7:

The state feedback controller can stabilise the nonlinear system at the equilibrium point

x = (0, 0, 0, 0)

if the initial angular position is less than 1. The state feedback controller can

stabilise the linearised system at the equilibrium point

x = (0, 0, 0, 0)

for any initial value of

the angular position.

The state feedback controller can stabilise the nonlinear system at the equilibrium point x = (0, 0, 0, 0) if the initial angular position is less than 0.5. The state feedback controller can stabilise the linearised system at the equilibrium point x = (0, 0, 0, 0) for any initial value of the angular position.

✅

The state feedback controller can stabilise the nonlinear system at the equilibrium point x = (0, 0, 0, 0) if the initial angular position is less than 1. The state feedback controller can stabilise the linearised system at the equilibrium point x = (0, 0, 0, 0) only if the initial value of the angular position is less than 0.5.

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