5. Modern Control

Robust Control — Quiz

Test your understanding of robust control with 5 practice questions.

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Practice Questions

Question 1

Which of the following mathematical norms is primarily used in $\mathcal{H}_\infty$ control to quantify the worst-case gain of a system over all frequencies?

Question 2

In robust control, what is the primary distinction between 'robust stability' and 'robust performance'?

Question 3

Consider a system with a nominal plant $P(s)$ and an additive uncertainty $\Delta(s)$, such that the actual plant is $P_{actual}(s) = P(s) + \Delta(s)$. If the controller is $K(s)$, which of the following expressions represents the sensitivity function $S(s)$?

Question 4

Which of the following best describes the role of the structured singular value ($\mu$) in robust control analysis?

Question 5

In $\mathcal{H}_\infty$ control, what is the significance of minimizing the $\mathcal{H}_\infty$ norm of a closed-loop transfer function?