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51.

In infinite time regulator for the final time is:(a) t1(b) t0(c) Infinite(d) ZeroThe question was posed to me in a national level competition.My question is taken from The Infinite Time Regulator Problem topic in division Optimal Control Systems of Control Systems

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Right CHOICE is (c) INFINITE

To EXPLAIN I would SAY: In infinite TIME regulator is the extended version of the state regulator and the final time for the infinite time regulator is infinite in this case.

52.

Tracking problem can be in:(a) Infinite state regulators(b) Finite state regulator(c) Sub-optimal state regulators(d) Non-linear regulatorsI got this question in homework.This intriguing question originated from The Infinite Time Regulator Problem topic in division Optimal Control Systems of Control Systems

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The correct choice is (C) Sub-optimal state REGULATORS

The best I can explain: The application of the optimal regulators is that the minimum TIME, ENERGY, FUEL and tracking problems are designed.

53.

Matrix R is:(a) Positive semi definite symmetric matrix(b) Positive definite non-symmetric matrix(c) Negative definite symmetric matrix(d) Negative definite non-symmetric matrixThe question was asked by my college professor while I was bunking the class.My doubt stems from Optimal Control Problems topic in section Optimal Control Systems of Control Systems

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Correct answer is (a) Positive semi definite symmetric matrix

Explanation: Matrix R defines positive definite or non-definite symmetric matrix which is USED in the performance INDEX so as to give equal weightage to each ELEMENT.

54.

Realization of the optimal control policy :(a) Feedback of the state variables(b) Feedback of the control variables(c) Control constraint(d) Control functionThis question was addressed to me in quiz.This interesting question is from Optimal Control Systems in section Optimal Control Systems of Control Systems

Answer» CORRECT option is (a) FEEDBACK of the state variables

To elaborate: Once the OPTIMAL control policy has been determined, its realization is the second phase of the optimal control problem its realization SEEKS feedback of the state variables.
55.

In tracking problem the parameter reduced is :(a) Error(b) Output(c) Input(d) StateThis question was addressed to me by my college professor while I was bunking the class.I'd like to ask this question from Output Regulator and the Tracking Problem in chapter Optimal Control Systems of Control Systems

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Correct CHOICE is (a) Error

The explanation is: In tracking problem the main OBJECTIVE is to REDUCE error and this is the main CONCERN so as to reduce error.

56.

The differential term in the riccati equation in infinite regulator is:(a) Finite(b) Positive(c) Infinite(d) ZeroI had been asked this question in an online quiz.Query is from The Infinite Time Regulator Problem in portion Optimal Control Systems of Control Systems

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The correct option is (d) Zero

The best EXPLANATION: As the final time is not defined hence the differential TERM of the riccati equation becomes zero and the equation we GET is the modified riccati equation.

57.

In finite time regulator:(a) There is no restriction on the controllability of the plant(b) Performance index is infinite(c) Instability imposes problem in finite-interval control(d) No restriction on controllability and performance indexThis question was posed to me in a national level competition.This question is from The Infinite Time Regulator Problem topic in portion Optimal Control Systems of Control Systems

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Correct answer is (a) There is no RESTRICTION on the CONTROLLABILITY of the plant

Best EXPLANATION: In finite time regulator there is no restriction on the controllability of the plant. This is because is always finite and instability does not impose any PROBLEMS in finite-time control.

58.

__________increases the steady state accuracy.(a) Integrator(b) Differentiator(c) Phase lead(d) Phase lagThis question was posed to me by my college director while I was bunking the class.My question is based upon Parameter Optimization : Servomechanims in division Optimal Control Systems of Control Systems

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The CORRECT option is (a) Integrator

Easiest explanation: Integrator that is also the low PASS filter REDUCES or eliminates the steady state error but is causes the slow and sluggish RESPONSE but TRIES to eliminate the error.