Control System Engineering Quiz

Force balancing equation of a mass element 𝑀 is ____ .

• Md^2x/dt^2

• Md^2v/dt^2

• 𝑀𝑣

• 𝑀𝑥

Force balancing equation of a spring element K is _____.

• 𝐿

• 𝑅

• Kx

• 𝐾

Mechanical analogous for mass in Rotational system is ______.

• Inertia

• Torque

• Mass

• Friction

Transfer function is the ratio of _______.

• Laplace transform of output to input

• output to input

• Laplace transform of input to output

• input to output

Force balancing equation of a damper element b is ____ .

• Md^2x/dt^2

• bd^2v/dt^2

• bx

• bdx/dt

Explain closed loop control system with an example using Block Diagram representations.

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Answer explanation

A closed loop control system uses feedback to adjust its output. For example, a thermostat regulates temperature: it measures the current temperature (feedback) and adjusts heating/cooling to maintain the set point, represented in a block diagram.

Define a system. Explain any one application of control system.

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Answer explanation

A system is a set of interconnected components working together to achieve a specific goal. One application of a control system is in automatic temperature regulation in HVAC systems, ensuring comfort and energy efficiency.

Alisha is working on a feedback control system for a smart thermostat in her home. Discuss how this system adjusts the temperature based on the current room temperature and the desired temperature set by Alisha.

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Answer explanation

A feedback control system regulates its output by using feedback from the output to adjust the input. This ensures stability and accuracy in achieving desired performance, making it essential in automation and engineering applications.

Define mathematical model and explain the steps with the suitable example.

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Answer explanation

Representation of physical system by means of mathematical equations. Steps include: 1) Represent the physical system, 2) Develop FBD, 3) Obtain the differential equations, 4) Represent using Transfer Function

Discuss basic components of mechanical translational and rotational system.

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Answer explanation

Mechanical translational systems involve components like masses, springs, and dampers, while rotational systems include inertia, backlash and torsional spring. Both systems convert energy and motion, with translational focusing on linear movement and rotational on angular motion.