Explanation: the impulse response of the given transfer function is a ramp function of slope 1/a. if a increases, the slope decreases. hence, from the above figure, purple is the correct one.
Control System Engineering MCQs | Page - 4
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Explanation: if the damping factor is less than the damping factor at critical damping
Explanation: comparing the characteristic equation with the standard equation the value of the damping factor is calculated and the value for the option d is minimum hence the system will have the maximum overshoot .
Explanation: hence due to this g lies between 0 and 1.
Explanation: applying initial value theorem which state that the initial value of the system is at time t =0 and this is used to find the value of k and final value theorem to find the value of a.
Explanation: speed of response is the speed at which the response takes the final value and this is determined by damping factor which reduces the oscillations and peak overshoot as the peak is less then the speed of response will be more.
Explanation: poles are the roots of the denominator of the transfer function and on imaginary axis makes the system stable but multiple poles makes the system unstable.
Explanation: differentiating the equation and getting the impulse response and then taking the inverse laplace transform and converting the form into time constant form we get k =
Explanation: ka = 2k/12 = k/6
Explanation: comparing with the characteristic equation the values of g and w are calculated as g = 1 and w = 4 and hence the system is critically damped.
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