For a system with G(s) in forward path and H(s) in feedback path, Derive in details...

For a system with G(s) in forward path and H(s) in feedback path, Derive in details the equivalent transfer function and its zeros/poles?

Expert Solution

Manojponduru answered 1 year ago

Rana Abdelal Ex. 350. Consider a unity feedback system where the forward TF is: G(s) =...

Rana Abdelal Ex. 350. Consider a unity feedback system where the forward TF is: G(s) = K (s+18)/(s(s+17)). Find the breakaway and entry points on the real axis (Enter the one closest to the origin first). One point on the root locus is -18+jB. Find K there and and also find B. It is possible to work this one without MATLAB, but it requires some intense algebra. Answers: s1,s2,K, and B. ans:4 Can you show me how to do the...

A Unity feedback system has an open loop transfer function of G(s) = K / s...

A Unity feedback system has an open loop transfer function of G(s) = K / s (s+1) (s+5) Draw the root locus plot and determine the value of K to give a damping ratio of 0.3 A network having a transfer function of 10(1 +10s) /(1 +100s) is now introduced in tandem. Find the new value of K, which gives the same damping ratio for the closed -loop response. Compare the velocity error constant and settling time of the original...

predict the signs of delta G, delta H, delta S, of the system for the following...

predict the signs of delta G, delta H, delta S, of the system for the following processes a)Ammonia melts at -60 degrees Celcius b) ammonia melts at -77 Celcius (normal melting point of Ammonia) c) ammonia melts at 100 Celcius

A function of the feedback control system is desired: = (2 (s + 1)) / (s...

A function of the feedback control system is desired: = (2 (s + 1)) / (s ^ 2 + 3s + 2). If the function transfer process is second order with gain = 4, time constant = 1, damping factor = 1.5, arrange the form of the PID controller function transfer using the direct synthesis method.

Derive the three equations of state for one of the following: U, H, A, or G

Consider a closed-loop system with unity feedback. For each G(s) hand sketch the Nyquist plot. Determine...

Consider a closed-loop system with unity feedback. For each G(s) hand sketch the Nyquist plot. Determine Z = P + N, algebraically find the closed-loop pole location, and show that the closed-loop pole location is consistent with the Nyquist plot calculation. K = 2. a) KG(s) = 2(s-1) b) KG(s) = 2(s+1) c)KG(s) = 2/(s+1) d) KG(s) = 2/(s-1)

for a diatomic perfect gas , derive the equation for entropy S , enthalpy H ,...

for a diatomic perfect gas , derive the equation for entropy S , enthalpy H , Gibbs energy G . and Helmholtz energy A

Consider the unity feedback negative system with an open-loop function G(s)= K (s^2+10s+24)/(s^2+3s+2). a. Plot the...

Consider the unity feedback negative system with an open-loop function G(s)= K (s^2+10s+24)/(s^2+3s+2). a. Plot the locations of open-loop poles with X and zeros with O on an s-plane. b. Find the number of segments in the root locus diagram based on the number of poles and zeros. c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles...

for the unity feedback system, the open loop transfer functions is G(s)=K(s+2)(s+3) / (((s^2)+2*s+2)(s+4)(s+5)(s+6)) a. sketch...

for the unity feedback system, the open loop transfer functions is G(s)=K(s+2)(s+3) / (((s^2)+2*s+2)(s+4)(s+5)(s+6)) a. sketch the root locus (detail step wise) b. find the jw-axis crossing and the gain. K, at the crossing

The plant H(s)=40/(S^2+4) is now put in a unity-feedback connection with a proportionalderivative compensator Cpd(s) =...

The plant H(s)=40/(S^2+4) is now put in a unity-feedback connection with a proportionalderivative compensator Cpd(s) = K(1 + sT), where K and T are real constants to be determined. The closed-loop is stable with a constant step-response error of +20% in steady state. Ignore implementation issues arising from the improperness of the compensator. (a)Determine K. (b)What range of values can T take? (c) What is the gain margin? (d) If the gain cross-over frequency is 10 rad/s, determine the phase...

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