B: Find the stability of the system by using Bode plot, whose open loop transfer function is given as G(S)H(S) 2(S+0.5) s2(S+0.2)(S+1)

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B: Find the stability of the system by using Bode plot, whose open loop transfer
function is given as
2(S+0.5)
s²(S+0.2)(S+1)
G(S)H(S) =
Transcribed Image Text:B: Find the stability of the system by using Bode plot, whose open loop transfer function is given as 2(S+0.5) s²(S+0.2)(S+1) G(S)H(S) =
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Step 1

Transfer function: 

The ratio of the Laplace transform of output to the Laplace transform of input is called the transfer function of the closed-loop control system under the assumption that all the initial conditions are zero.             

The characteristic Equation of the control system is obtained by equating the denominator of the transfer function to zero.

         T.F=Laplace transform of output/Laplace transform of the input

The transfer function method can only be applied to a single input single output system.

  • If the input to the system is a step function then output is called step response.
  • If the input to the system is an impulse function then output is called impulse response.
  • If the input to the system is a ramp function then output is called ramp response.
  • If the input to the system is a parabolic function then output is called parabolic response.
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