Control Systems: When Feedback Makes Things Shake
Transfer functions, root locus, Bode plots and PID: how engineers tame feedback so it steadies a system instead of shaking it.
Control Systems · 50 questions
Try 3 questions
1. A transfer function describes a system under which assumptions?
- Nonlinear behavior at any operating point
- Linear, time-invariant, zero initial conditions
- Only steady-state DC behavior
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Answer: Linear, time-invariant, zero initial conditions
The ratio of Laplace transforms of output to input is defined for LTI systems starting from rest.
2. What do a mass-spring-damper and a series RLC circuit have in common?
- Always the same natural frequency
- The same physical units throughout
- The same form of differential equation
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Answer: The same form of differential equation
Mass, damping and stiffness play the roles of inductance, resistance and inverse capacitance in an identical second-order equation.
3. What do the poles of a system's transfer function determine?
- The amplitude of the applied input
- Only the system's steady-state gain
- The system's natural response modes
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Answer: The system's natural response modes
Each pole contributes a term like e^(pt) to the response, so poles set how fast it decays, grows or oscillates.
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