Official PYQ · 2024Set 1 · Q43MSQ2 marks

GATE EC 2024 Set 1 Q43 — Control Systems

Consider a system $S$ represented in state space as
$\frac{d x}{d t}=\left[\begin{array}{ll} 0 & -2 \\ 1 & -3 \end{array}\right] x+\left[\begin{array}{l} 1 \\ 0 \end{array}\right] r, y=\left[\begin{array}{ll} 2 & -5 \end{array}\right] x .$
Which of the state space representations given below has/have the same transfer function as that of $S$ ?

Select all correct optionsA

\frac{d x}{d t}=\left[\begin{array}{cc}0 & 1 \\ -2 & -3\end{array}\right] x+\left[\begin{array}{l}0 \\ 1\end{array}\right] r, y=\left[\begin{array}{ll}1 & 2\end{array}\right] x

\frac{d x}{d t}=\left[\begin{array}{cc}0 & 1 \\ -2 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\ 0\end{array}\right] r, y=\left[\begin{array}{ll}0 & 2\end{array}\right] x

\frac{d x}{d t}=\left[\begin{array}{cc}-1 & 0 \\ 0 & -2\end{array}\right] x+\left[\begin{array}{l}-1 \\ 3\end{array}\right] r, y=\left[\begin{array}{ll}1 & 1\end{array}\right] x

\frac{d x}{d t}=\left[\begin{array}{cc}-1 & 0 \\ 0 & -2\end{array}\right] x+\left[\begin{array}{l}1 \\ 1\end{array}\right] r, y=\left[\begin{array}{ll}1 & 2\end{array}\right] x

View answer

Answer: A;C

Worked explanation not available yet.

Free practice · Your answers on this page are not saved.

Published 10 Oct 2026

Report a correction

Browse this subject

More Control Systems questions

GATE EC 2024 Set 1 Q43 — Control Systems

Related questions