Consider a standard negative feedback configuration withGs-1s-1s-2 and Hs-s-s- For the closed loop system to have poles on the imaginary axis- the value of - should be equal to up to one decimal place

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Control Systems

Roots on Imaginary Axis

Consider a st...

Question

Consider a standard negative feedback configuration with
$G (s) = \frac{1}{(s + 1) (s + 2)} a n d H (s) = \frac{s + α}{s} .$ For the closed loop system to have poles on the imaginary axis, the value of $α$ should be equal to (up to one decimal place)

9

Open in App

Solution

The correct option is A 9
$G (s) = \frac{1}{(s + 1) (s + 2)}; H (s) = \frac{s + α}{s}$

For poles on imaginary axis i.e.
Marginal stability,

$α = 3 \times 3 = 9$

Suggest Corrections

Similar questions

Q. A system with the open loop transfer function:

G (s) = \frac{K}{s (s + 2) (s^{2} + 2 s + 2)}

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

Q. Consider a negative unity feedback system with the forward path transfer function

\frac{s^{2} + s + 1}{s^{3} + 2 s^{2} + 2 s + k},

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

Consider a unity feedback system, as in the figure shown, with an integral compensator $\frac{K}{s}$ and open-loop transfer function
$G (s) = \frac{1}{s^{2} + 3 s + 2}$
where $K > 0$ . The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j ω$ is equal to (rounded off to two decimal places)

The forward path transfer function of a unity negative feedback system is given by $G (s) = \frac{K}{(s + 2) (s - 1)}$
The value of $K$ which will place both the poles of the closed-loop system at the same location is

The loop transfer function of a negative feedback system is given by
$G (s) H (s) = \frac{K}{s (s + 2) (s + 6)}, w h e r e k > 0.$ The value of K at the breakaway point of the root locus for the above system (rounded of to one decimal place) is

Join BYJU'S Learning Program

Consider a standard negative feedback configuration with G(s)=1(s+1)(s+2) and H(s)=s+αs. For the closed loop system to have poles on the imaginary axis, the value of α should be equal to (up to one decimal place) 9

The correct option is A 9G(s)=1(s+1)(s+2);H(s)=s+αs For poles on imaginary axis i.e. Marginal stability, α=3×3=9

Consider a standard negative feedback configuration with
$G (s) = \frac{1}{(s + 1) (s + 2)} a n d H (s) = \frac{s + α}{s} .$ For the closed loop system to have poles on the imaginary axis, the value of $α$ should be equal to (up to one decimal place)

9

The correct option is A 9
$G (s) = \frac{1}{(s + 1) (s + 2)}; H (s) = \frac{s + α}{s}$

For poles on imaginary axis i.e.
Marginal stability,

$α = 3 \times 3 = 9$