Control Systems
Stability
Routh Criteria
Questions mapped to Routh Criteria under Stability.
33
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IncorrectLet . Then the closed-loop system shown in the figure below, is
stable for all .
unstable for all .
unstable for all .
stable for all .
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Sign in to UnlockThe open loop transfer function of a unity gain negative feedback system is given by G(s)= . The range of k for which the system is stable, is
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Sign in to UnlockWhich of the following option is correct for the system shown below?
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Sign in to UnlockConsider a negative unity feedback system with the forward path transfer function , where K is a positive real number. The value of K for which the
system will have some of its poles on the imaginary axis is
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Sign in to UnlockThe Characteristic equation of a linear time-invariant (LTI) system is given by
The system is BIBO stable if
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Sign in to UnlockThe number of roots of the polynomial, , in the open left half of the complex plane is
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Sign in to UnlockA closed loop system has the characteristic equation given by . For this system to be stable, which one of the following conditions should be satisfied?
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Sign in to UnlockThe range of K for which all the roots of the equation are in the left half of the complex s-plane is
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Sign in to UnlockGiven the following polynomial equation
,
the number of roots of the polynomial, which have real parts strictly less than -1, is ___________.
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Sign in to UnlockThe open loop transfer function of a unity feedback control system is given by .`
The closed loop system will be stable if.
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Sign in to UnlockIn the formation of Routh – Hurtwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of
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Sign in to UnlockFor the given system, it is desired that the system be stable. The minimum value of for this condition is ______________.
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Sign in to UnlockA system with the open loop transfer function
is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of K is
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Sign in to UnlockThe feedback system shown below oscillates at 2rad/s when
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Sign in to UnlockAn open loop system represented by the transfer function is
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Sign in to UnlockThe first two rows of Routh's tabulation of a third order equation are as follows.
The means there are
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Sign in to UnlockFigure shows a feedback system where K>0.
The range of K for which the system is stable will be given by
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Sign in to UnlockThe system shown in the figure is
Stable
Unstable
Conditionally stable
Stable for input , but unstable for input
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Sign in to UnlockIf the loop gain K of a negative feedback system having a loop transfer function is to be adjusted to induce a sustained oscillation then
The frequency of this oscillation must be rad/s
The frequency of this oscillation must be 4 rad/s
The frequency of this oscillation must be 4 or rad/s
Such a K does not exist
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Sign in to UnlockThe algebraic equation is given F(s) = 0 has
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Sign in to UnlockA unity feedback system, having an open loop gain , becomes stable when
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Sign in to UnlockFor the equation, , the number of roots in the left half of s-plane will be
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Sign in to UnlockThe loop gain GH of a closed system is given by the following expression
The value of K for which the system just becomes unstable is
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Sign in to UnlockThe characteristic equation of a feedback control system is:
The number of roots in the right half of s-plane are :
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Sign in to UnlockNone of the poles of a linear control system lie in the right half of s-plane. For a bounded input, the output of this system
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Sign in to UnlockThe number of roots on the equation that lie in the right half of S plane is:
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Sign in to UnlockThe system represented by the transfer function has _______ pole(s) in the right-half s-plane.
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Sign in to UnlockDetermine whether the system given by the block diagram of figure, is stable ( Yes=1, No=0)
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Sign in to UnlockClosed loop stability implies that has only Zeros in the left half of the s-plane. (True=1, False=0)
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Sign in to UnlockThe characteristic equation for a certain feedback control system is given by
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Sign in to UnlockThe closed loop system, of figure, is stable if the transfer function is stable. (True=1,False=0)
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Sign in to UnlockThe number of positive real roots of the equation, is _______________.
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Sign in to UnlockFor what range of K is the following system (figure) asymptotically stable? Assume
k<4
None of these
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