Consider a system given by the first-order open-loop transfer function as follows; G(s)=- bo s+a The...

 

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Consider a system given by the first-order open-loop transfer function as follows; G(s)=- bo s+a The same transfer function can be redescribed by dividing each term to system pole as follows; G(s)= K TS+1 where, is called Time Constant and is called DC Gain. Then, calculate and for the given systems, G₁(s), G₂(s) and G3(s). Make an inference about the relationship between time constant, pole location and time required to reach to final value of a first-order system. G₁(s)= 3 5+2 G₂(s): 15 s+10 G₁(s)= 75 5+50 Consider a system given by the first-order open-loop transfer function as follows; G(s)=- bo s+a The same transfer function can be redescribed by dividing each term to system pole as follows; G(s)= K TS+1 where, is called Time Constant and is called DC Gain. Then, calculate and for the given systems, G₁(s), G₂(s) and G3(s). Make an inference about the relationship between time constant, pole location and time required to reach to final value of a first-order system. G₁(s)= 3 5+2 G₂(s): 15 s+10 G₁(s)= 75 5+50

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Lets calculate the time constant T and DC gain K for each of the given systems and analyze the relat... View the full answer