System Dynamics
System Dynamics
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ISBN: 9789814636056
Publisher: McGraw-Hill Education (Asia)
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Chapter 11, Problem 11.4P

Sketch the root locus plot of ms~ 4- 12s + 10 = 0 for in > 2. What is the smallest possible dominant time constant, and what value of m gives this time constant?

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Graph/Plot the output step response from t=0 to t=10 with a 0.1-second interval.
Figure 1 shows an electrical system comprising a series RLC circuit and input voltagesource ein(t).(a) Derive the input-output equation with output y = I and input u = ein(t). (b) Using the derived input-output equation, drive the system transfer function G(s)that relates output to input. Use the following numerical values for the electrical systemparameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F. (c) Using the derived transfer function, derive the time-domain ordinary differentialequation for the input-output equation of this electrical system. (d) Draw the complete block diagram of this series RLC circuit using the derived transferfunction.
Q.1 - The open loop transfer function for a unity - feedback systemis G(s)= XL‘ 7xs and r(t)=3t determine steady state error.If it is desired to reduce this existing error by 7% fined new value of gain of the system.
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