GATE Control Systems: State Variable Model and Solution of State Equation – Previous Year Questions
8 GATE previous year questions on State Variable Model and Solution of State Equation (Control Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2018 EC Q39 – The state equation and the output equation of a control system are given below: x=bmatrix-4&-1.5\\4&0bmatrix x+bmatrix2\\0bmatrixu, y=[1.5\ \ 0.625]\,…
- GATE 2019 EC Q43 – Let the state-space representation of an LTI system be x(t)=Ax(t)+Bu(t), y(t)=Cx(t)+du(t) where A,B,C are matrices, d is a scalar, u(t) is the input…
- GATE 2020 EC Q40 – For the given circuit, which one of the following is the correct state equation?
- GATE 2021 EC Q43 – The electrical system shown in the figure converts input source current i s(t) to output voltage v o(t). Current i L(t) in the inductor and voltage v…
- GATE 2023 EC Q43 – The state equation of a second order system is x(t)=A x(t), with x(0) the initial condition. Suppose 1 and 2 are two distinct eigenvalues of A and v 1…
- GATE 2024 EC Q53 – Consider a system S represented in state space as dxdt=bmatrix0&-2\\1&-3bmatrixx+bmatrix1\\0bmatrixr, y=bmatrix2&-5bmatrixx. Which of the state space…
- GATE 2025 EC Q53 – Consider a system where x 1(t), x 2(t), and x 3(t) are three internal state signals and u(t) is the input signal. The differential equations governing…
- GATE 2026 EC Q41 – The state and output equations for a control system are: x=bmatrix-4&-1.5\\4&0bmatrixx+bmatrix2\\0bmatrixu, y=[1.5\ \ 0.625]\,x. Which of the…