JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III CONTROL SYSTEMS Previous Question Paper (January/February - 2023 - R18)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
What is the basic rule used for block diagram reduction technique?
Answer
The basic rule used for block diagram reduction is the algebraic manipulation of transfer functions based on the principles of series, parallel, and feedback connections. The primary objective is to simplify the diagram by shifting summing points and take-off points to reduce the system to a single equivalent transfer function, typically represented as the ratio of the output to the input,
Write the force balance equation of an ideal mass, ideal dashpot and ideal spring element.
Answer
The force balance equations for the three fundamental mechanical translational elements are based on Newton's Second Law and the constitutive properties of each component:
- Mass (M): The force is proportional to acceleration. The equation is F(t) = M * (d²x(t) / dt²)
- Dashpot (B): The force is proportional to velocity. The equation is F(t) = B * (dx(t) / dt)
- Spring (K): The force is proportional to displacement. The equation is F(t) = K * x(t)
In these equations, x(t) represents the displacement, dx/dt represents velocity, and d²x/dt² represents acceleration.
List the time domain specifications.
Answer
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Define Centroid. How do you determine the centroid and angle of asymptotes in root locus technique?
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What is Polar plot?
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Define Phase Margin, Gain Margin with reference to Bode plot.
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What is the function of P and I Controllers?
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Define the terms Steady State Accuracy and transient accuracy of the system.
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Define Controllability.
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State the properties of state transition matrix.
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Part B
Compare the Open loop and Closed loop Control Systems with examples in detail.
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Determine the Force voltage and Force current analogy for given mechanical system.
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The characteristic polynomial of a system is s7+9s6+24s5+24s4+24s3+24s2+23s+15=0. Determine the location of roots on s-plane and hence the stability of the system.
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Sketch the root locus of the system whose open loop transfer function is G(s)=K/s(s+2)(s+4). Find the value of K so that the damping ratio of the closed loop system is 0.5.
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Sketch the polar plot for the following transfer function, Determine phase margin and gain margin.
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Sketch the Bode plot of the given system and determine the phase margin and gain margin of the system.
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Explain the step by step procedure of Root-loci method of feedback controller design.
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Discuss the Analog and Digital implementation of controllers.
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Consider a system with state model given below. Verify, the system is observable and controllable.
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Explain about diagonalization and also obtain the state model of the given transfer function.
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