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51.

The Transfer Function of an L.T.I. system is___________(a) the impulse response with 0 initial conditions(b) the impulse response with some initial conditions(c) the ramp response with 0 initial conditions(d) the step response with 0 initial conditionsI got this question during an interview.This interesting question is from Laplace Transform in section Control System Applications of MATLAB

Answer» CORRECT choice is (a) the impulse RESPONSE with 0 INITIAL conditions

Easiest explanation: The transfer function of the system is determined with 0 initial conditions. SINCE it’s the laplace TRANSFORM of the impulse response, the impulse response should not have any initial conditions.
Discussion
52.

The laplace transform of step function, u(t), can be calculated by using _____(a) syms t; laplace(t/t)(b) laplace(1)(c) laplace(t/t)(d) sym t; laplace(t/t)This question was addressed to me in homework.Query is from Laplace Transform in portion Control System Applications of MATLAB

Answer»

The correct answer is (a) SYMS t; laplace(t/t)

The explanation: The laplace command won’t understand 1 is a UNIT function. ALSO, if we don’t define t as symbolic, it won’t be able to understand ‘t/t’. Finally, SYM t doesn’t properly define t for using it in the laplace command so we need to write t=sym(‘t’) while using the sym command. Instead of this, we write syms t to define it, as a symbolic variable, for the laplace command.
Discussion
53.

The default Laplace transform, of functions, computed by MATLAB is __________(a) Unilateral(b) Bilateral(c) Multipolar(d) Cannot be computedI have been asked this question in quiz.The question is from Laplace Transform topic in section Control System Applications of MATLAB

Answer»

Right answer is (a) UNILATERAL

The BEST I can explain: The DEFAULT laplace TRANSFORM computed by MATLAB is the Unilateral Laplace transform. Bilateral Laplace transform can be computed separately but it’s not the default process.
Discussion