R(s)KJs + BKhFigure 2: Servo system.511C(s)3. For the system given in Figure 2, answer the following questions.(a) Obtain the transfer function C(s)/R(s) in terms of constants K, J, B, K, and then write thissystem as a standard second order system as the transfer function given in Problem 1.(b) Determine the values of gain K and K, so that Mp (the maximum overshoot) for a unit stepresponse is equal to 0.2, and tp (the peak time) is 1 second. Assume that J = 1 and B = 1.(c) With the above, now-obtained values for K and K,, obtain the rise-time and settling time.Solutions (from Ogata):

Answered: R(s) K Js + B Kh Figure 2: Servo…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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When the unit step function is applied to the system input whose block diagram is given below, the peak time of the output response becomes 3.22 s and the settling time is 7.29 s. T and a seen in the open loop transfer function are constant numbers. What is the system rise time? calculate.
4. Consider the RC circuit in Figure 1.4. Let us consider a system whose input is the input voltage vin (t) and the output is the voltage across the capacitor vout (t). Find an integral equation that relates the input and output signals. Draw a block diagram showing a different realization (implementation) of this system using integrators, multipliers and adders.
OL. Simplify the block diagram shown in Figure(I) and obtain the elosed- loop transfer function C(s) R(s) Ris) Figuret1)
Q_. A simple comparator and a Schmitt trigger are shown in Figures 2(a) and _(b). The maximum output voltage, Vmax, can switch between -10 V and ! 10 V for both circuits. The lower and upper trigger levels of the Schmitt trigger are -1 V and 12 V, respectively. a) b) Based on the information given above, sketch the transfer characteristics for both circuits. +2V Show that the hysteresis of the Schmitt trigger of Figure 2(b) can be expressed as c) Using the parameters provided above, determine the ratio of R₂/R₁ for the circuit of Figure 2(b). 1₂ Vhys = Figure 2(a) 2.R₁-Vmax R₁ + R₂ V₂ KŲ +0.6V R₂ Figure 2(b) Tºv.
For the system shown in Figure 3, first find the values of K1 and K2 to obtain a peak time of 1 second, and a settling time of 2 seconds, for the closed-loop step response of the system. Then find the poles of the closed-loop transfer function, T(s) = C(s)/R(s). Construct the corresponding graph of poles and zeros
(b) Consider the above bock-diagram of figure (2a). You are now required to derive the transfer function, Y(s)/R(s), by using the signal flow graph method. Label in your working, the paths and loops associated with the block-diagram. (c) Determine the system transfer function for the following signal-flow diagram of figure (2b). " - H, R(s) Y(s) 1/s G, G2 G, G. H2 Figure (2a)
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