Jawaharlal Nehru Technological University Hyderabad
Jawaharlal Nehru Technological University Hyderabad B.Tech III CONTROL SYSTEMS ENGINEERING Previous Question Paper (March - 2024 - R13)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory (25 marks). Answer all questions. iii) In Part B, Answer any one question from each unit (10 marks each).
Part A
List out the advantages of transfer function.
Answer
The transfer function provides a mathematical model to represent the system dynamics in the s-domain, simplifying the analysis of complex systems. It allows for the determination of system stability, transient response, and frequency response without solving differential equations.
Explain the effect of feedback on overall gain.
Answer
For a system with forward gain G(s) and feedback H(s), the closed-loop gain is T(s) = G(s) / (1 + G(s)H(s)). Feedback reduces the overall system gain by a factor of (1 + G(s)H(s)), which helps in desensitizing the system to variations in parameter values and external disturbances.
What is the time response of the first order system?
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Distinguish between type and order of a system.
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How R-H criterion is useful in plotting root locus?
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What is the need of angle of asymptotes in Root-locus?
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Mention the advantages of Bode plot.
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Define gain and phase margins.
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Define Controllability and Observability.
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What are the merits of state variable technique?
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Part B
Distinguish the open loop and closed loop control systems.
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Explain the effect of feedback on sensitivity and stability of a system.
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Explain the advantages of signal flow graph over block diagram representation.
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For the signal flow graph shown in figure 1, determine the gain X5/X1 using Mason’s gain formula.
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Damping factor and natural frequency of the system are 0.12 and 84.2 rad/sec respectively. Determine the rise time (tr), peak time (tp), maximum peak overshoot (mp) and settling time (ts).
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Explain error constants Kp, Kv and Ka for type II system.
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State and explain the effects of P, PI and PID controller on the system dynamics.
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A unity feedback control system is represented by the open loop transfer function G(S)=K(S+9)/S(S+4)(S+5)
Using Routh criterion, obtain the range of value of K for the system to be stable.
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Identify if K=1, all these roots of the characteristic equation of the system having damping factor greater than 0.5.
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Sketch the root locus plot of a unit feedback system with the open loop transfer function G(S) = K/S(S+3)(S+5).
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Sketch the Bode plot for G(S) = 100/S(S+4)(S+9).
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Analyze on Lead, Lag and Lag-Lead compensators with a neat diagram and also explain their importance.
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State and prove the properties of state transition matrix.
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Check the controllability and observability of the given system.
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Explain about diagonalization procedure.
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Explain controllability and observability applied to linear time invariant system.
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