GATE Control Systems: State space model, Solution of state equations of LTI systems – Previous Year Questions
9 GATE previous year questions on State space model, Solution of state equations of LTI systems (Control Systems, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2017 EE Q43 – The transfer function of the system Y(s)/U(s) whose state-space equations are given below is: bmatrixx 1(t) \\ x 2(t)bmatrix = bmatrix 1 & 2 \\ 2 & 0…
- GATE 2015 EE Q62 – In the signal flow diagram given in the figure, u 1 and u 2 are possible inputs whereas y 1 and y 2 are possible outputs. When would the SISO system…
- GATE 2016 EE Q41 – Consider the following state-space representation of a linear time-invariant system. x(t) = bmatrix 1 & 0 \\ 0 & 2 bmatrix x(t), y(t) = cT x(t), c =…
- GATE 2019 EE Q41 – Consider a state-variable model of a system bmatrix x 1\\ x 2bmatrix=bmatrix0&1\\-&-2bmatrixbmatrixx 1\ 2bmatrix+bmatrix0\\bmatrixr, y=[1\ \…
- GATE 2021 EE Q59 – The state space representation of a first-order system is given as x=-x+u y=x where, x is the state variable, u is the control input and y is the…
- GATE 2023 EE Q46 – Consider the state-space description of an LTI system with matrices A=bmatrix0&1\\-1&-2bmatrix,\ B=bmatrix0\\1bmatrix,\ C=[3\ \ -2],\ D=1. For the…
- GATE 2025 EE Q62 – Consider the state-space model x(t)=A x(t)+Br(t), y(t)=C x(t) where x(t), r(t), y(t) are the state, input and output, respectively. The matrices A,B,C…
- GATE 2026 EE Q52 – A system is characterized by the following state equation and output equation (u: input, x: state vector, y: output) x=bmatrixa&b\\-a&0bmatrix…
- GATE 2026 EE Q53 – A system is represented in state-space form as follows: (u: input, x: state vector, y: output) x=bmatrix1&2\\-3&0bmatrix x+bmatrix1\\2bmatrixu,…