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Control Systems

Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 F(s+a)
 e-as*F(s)
 eas*F(s)
 F(s)/(s+a)

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Control Systems
Two identical first order systems have been cascaded non interactively. The unit step response of the systems will be

 under damped
 un damped
 critical damped
 Over damped

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Control Systems
Force balancing equation of a mass element is (where, x = displacement)

 M *x
 M dx/dt
 M d2x/dt2
 any of the above

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Control Systems
Transfer function of zero order hold response is

 (s) × (1 - est).
 (1 / s) × (1 - e-st).
 (1 / s) × (1 - est).
 (1 / s) × e-st.

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Control Systems
Number of sign changes in the entries in 1st column of Routh array denotes the no. of

 open loop zeroes in RHP.
 zeroes of system in RHP.
 open loop poles in RHP.
 roots of characteristic polynomial in RHP.

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Control Systems
The open loop transfer function of a unity feedback control system is given by G(s) = k/s(s+1). If gain k is increased to infinity, then damping ratio will tend to become

 0.707
 unity
 infinite
 zero

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