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CONTROL SYSTEMS EEE F242 ECE F242 INSTR F242

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Consider

a unity gain negative feedback system with forward path transfer

function

. Design a PD

compensator

to achieve

= 4.321% and

settling time of

sec. 

State the value of

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Consider a unity gain negative feedback system with forward path transfer function . Design a PD compensator to achieve = 4.321% and settling time of sec. 

State the value of 

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Consider a unity gain negative feedback system with forward path transfer function .  Use polar plot to find  (in rad/sec).

State the value of (in rad/sec).

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Consider a unity gain negative feedback system with forward path transfer function

State the value of  percentage peak overshoot (Mp, in%).

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Consider a unity gain negative feedback system with forward path transfer function . Use the Bode (approximate) magnitude plot to find phase margin (in degree). (Use the exact expression for the phase angle only.)

State the value of phase margin (in degree)

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Consider a unity gain negative feedback system with forward path transfer function . Design a lag compensator so that, the steady-state error to unit step input, for the closed loop system is times the steady-state error for the uncompensated closed-loop system. 

State the value of .

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Consider a unity gain negative feedback system with forward path transfer function .  Use polar plot to find the gain margin (in dB).

State the value of the gain margin (in dB).

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Consider a unity gain negative feedback system with forward path transfer function

State the value of (in s).

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Consider a unity gain negative feedback system with forward path transfer function . Use the approximate Bode magnitude plot and find ωgc (in rad/s).

State the value of ωgc (in rad/s) =

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Consider the root locus for a unity-gain negative

feedback system having the characteristic equation 

, where k denotes the compensator

gain of

the forward path transfer function. 

Let k = kmarginal > 0

be the

value of the gain at which the branches of the root locus intersect the imaginary axis. 

Let s = j wmarginal be the point on the imaginary axis at which one of the branches of the root locus intersects the positive half of the imaginary axis.

The value of wmarginal =  

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