The GATE Grind

GATE Control Systems: State-space analysis – Previous Year Questions

3 GATE previous year questions on State-space analysis (Control Systems, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2022 IN Q30 (1 mark, Numerical answer) – A system has transfer function (s+1)(s+3)/[(s+5)(s+7)(s+9)]. Its state-space representation requires at least state variables (integer).
  2. GATE 2024 IN Q17 (1 mark, Multiple choice) – Consider x=Ax+Bu, where x is the state vector, u the input, A the system matrix, and B the input matrix. Which matrix A gives a system pole at the…
  3. GATE 2026 IN Q44 (2 marks, Multiple choice) – A linear time-invariant (LTI) system is described by bmatrix x 1\\ x 2bmatrix=bmatrix0&1\\-10&-7bmatrixbmatrixx 1\ 2bmatrix+bmatrix1\\1bmatrixu,…