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Previous year question hub

State-space Analysis - Control Systems - Electrical Engineering Previous Year Questions

Practice State-space Analysis - Control Systems - Electrical Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

15Papers
10Years
17Questions
1Topics

State-space Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for State-space Analysis. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 12 70.6%
Medium 5 29.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 13 76.5%
Numerical Answer Type (NAT) 3 17.6%
MSQ 1 5.9%

Subject weightage

Top subjects by unique question coverage.

Electrical Engineering
17 Qs

Most asked topics

Top topics across the included previous year papers.

Control Systems
17 Qs

Subtopic coverage

Top subtopics inside this exact selection.

State-space Analysis
17 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electrical Engineering (EE) 2021
1 Qs
Electrical Engineering (EE) 2019
1 Qs
Electrical Engineering (EE) 2018
1 Qs
Electrical Engineering (EE) 2017 [Session 1]
1 Qs
Electrical Engineering (EE) 2017 [Session 2]
1 Qs
Electrical Engineering (EE) 2016 [Session 1]
1 Qs
Electrical Engineering (EE) 2016 [Session 2]
1 Qs
Electrical Engineering (EE) 2014 [Session 2]
2 Qs
Electrical Engineering (EE) 2013 [Session 1]
1 Qs
Electrical Engineering (EE) 2013 [Session 2]
1 Qs
Electrical Engineering (EE) 2013 [Session 3]
1 Qs
Electrical Engineering (EE) 2013 [Session 4]
1 Qs
Electrical Engineering (EE) 2012
1 Qs
Electrical Engineering (EE) 2010
1 Qs
Electrical Engineering (EE) 2009
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Electrical Engineering (EE) 202120211View paper
Electrical Engineering (EE) 201920191View paper
Electrical Engineering (EE) 201820181View paper
Electrical Engineering (EE) 2017 [Session 1]20171View paper
Electrical Engineering (EE) 2017 [Session 2]20171View paper
Electrical Engineering (EE) 2016 [Session 1]20161View paper
Electrical Engineering (EE) 2016 [Session 2]20161View paper
Electrical Engineering (EE) 2014 [Session 2]20142View paper
Electrical Engineering (EE) 2013 [Session 1]20131View paper
Electrical Engineering (EE) 2013 [Session 2]20131View paper
Electrical Engineering (EE) 2013 [Session 3]20131View paper
Electrical Engineering (EE) 2013 [Session 4]20131View paper
Electrical Engineering (EE) 201220121View paper
Electrical Engineering (EE) 201020101View paper
Electrical Engineering (EE) 200920092View paper

All State-space Analysis previous year questions

Practice every matching question in batches of 20, with every available option.

1
2009 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2009
The system transfer function is

Question diagram

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2
2009 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2009

The state-transition matrix of the above system is

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3
2010 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2010
The system \(\dot{x} = Ax + Bu\) with \(A = \begin{bmatrix} -1 & 2 \\ 0 & 2 \end{bmatrix}, \; B = \begin{bmatrix} 0 \\ 1 \end{bmatrix}\) is
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4
2012 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2012
The state variable description of an LTI system is given by (see image for state equations) where y is the output and u is the input. The system is controllable for
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5
2013 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2013 [Session 1]
The system is
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6
2013 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2013 [Session 2]
Common Data for Questions 48 and 49: The state variable formulation of a system is given as [x₁̇; x₂̇] = [-2, 0; 0, -1] [x₁; x₂] + [1; 1] u, x₁(0) = 0, x₂(0) = 0 and y = [1, 0] [x₁; x₂]. The system is
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7
2014 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2014 [Session 2]
The state transition matrix for the system \(\begin{bmatrix} \dot{x}_1 \\ \dot{x}_2 \end{bmatrix} = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 1 \\ 1 \end{bmatrix} u\) is
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8
2014 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2014 [Session 2]
The second order dynamic system \( \frac{dX}{dt} = PX + Qu \), \( y = RX \) has the matrices P, Q and R as follows: \( P = \begin{bmatrix} -1 & 1 \\ 0 & -3 \end{bmatrix} \), \( Q = \begin{bmatrix} 0 \\ 1 \end{bmatrix} \), \( R = \begin{bmatrix} 0 & 1 \end{bmatrix} \). The system has the following controllability and observability properties:
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9
2016 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2016 [Session 1]
Consider the following state-space representation of a linear time-invariant system.
\(\dot{\boldsymbol{x}}(t) = \begin{bmatrix} 1 & 0 \\ 0 & 2 \end{bmatrix} \boldsymbol{x}(t), \quad y(t) = \boldsymbol{c}^T \boldsymbol{x}(t), \quad \boldsymbol{c} = \begin{bmatrix} 1 \\ 1 \end{bmatrix} \text{ and } \boldsymbol{x}(0) = \begin{bmatrix} 1 \\ 1 \end{bmatrix}\)
The value of \(y(t)\) for \(t = \log_e 2\) is ________.
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10
2016 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2016 [Session 2]
Consider a linear time invariant system \(\dot{x} = Ax\), with initial condition \(x(0)\) at \(t = 0\). Suppose \(\alpha\) and \(\beta\) are eigenvectors of (2 x 2) matrix A corresponding to distinct eigenvalues \(\lambda_1\) and \(\lambda_2\) respectively. Then the response \(x(t)\) of the system due to initial condition \(x(0) = \alpha\) is
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11
2017 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2017 [Session 1]
The transfer function of the system Y(s)/U(s) whose state-space equations are given below is:
\[ \begin{bmatrix} \dot{x}_1(t) \\ \dot{x}_2(t) \end{bmatrix} = \begin{bmatrix} 1 & 2 \\ 2 & 0 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix} + \begin{bmatrix} 1 \\ 2 \end{bmatrix} u(t) \]
\[ y(t) = [1 \; 0] \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix} \]
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12
2017 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2017 [Session 2]
Consider the system described by the following state space representation \[\begin{bmatrix} \dot{x}_1(t) \\ \dot{x}_2(t) \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & -2 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix} + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u(t)\] \[y(t) = \begin{bmatrix} 1 & 0 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix}\] If \(u(t)\) is a unit step input and \(\begin{bmatrix} x_1(0) \\ x_2(0) \end{bmatrix} = \begin{bmatrix} 1 \\ 0 \end{bmatrix}\), the value of output \(y(t)\) at \(t = 1\) sec (rounded off to three decimal places) is __________.
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13
2018 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2018
Consider a system governed by the following equations \(\frac{dx_1(t)}{dt} = x_2(t) - x_1(t)\) \(\frac{dx_2(t)}{dt} = x_1(t) - x_2(t)\) The initial conditions are such that \(x_1(0) < x_2(0) < \infty\). Let \(x_{1f} = \lim_{t\to\infty} x_1(t)\) and \(x_{2f} = \lim_{t\to\infty} x_2(t)\). Which one of the following is true?
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14
2019 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2019
Consider a state-variable model of a system \(\begin{bmatrix} \dot{x}_1 \\ \dot{x}_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -\alpha & -2\beta \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 0 \\ \alpha \end{bmatrix} r\) and \(y = \begin{bmatrix} 1 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}\), where \(y\) is the output, and \(r\) is the input. The damping ratio \(\xi\) and the undamped natural frequency \(\omega_n\) (rad/sec) of the system are given by
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15
2021 · Electrical Engineering · Control Systems · State-space Analysis
Electrical Engineering (EE) 2021
The state space representation of a first-order system is given as $\dot{x} = -x + u$ $y = x$ where, $x$ is the state variable, $u$ is the control input and $y$ is the controlled output. Let $u = -Kx$ be the control law, where K is the controller gain. To place a closed-loop pole at -2, the value of K is ______.
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