Consider a unity feedback system with its forward transfer function G(s) = K/[[s+1)(s+2)(s²+4s+8)] where K2 0. (a) Find the asymptotes and sketch them in the s-plane, (b) Determine the angle of departure from the complex poles, (c) Find the breakaway points (if any), (d) Determine the jw- axis crossing points and the corresponding gain K, and (e) Sketch the root locus.

Consider a unity feedback system with its forward transfer function G(s) = K/[[s+1)(s+2)(s²+4s+8)] where K2 0. (a) Find the asymptotes and sketch them in the s-plane, (b) Determine the angle of departure from the complex poles, (c) Find the breakaway points (if any), (d) Determine the jw- axis crossing points and the corresponding gain K, and (e) Sketch the root locus.

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...

See similar textbooks

Similar questions

Open loop transfer function G(s) = K/ s(s+3)(s+4) for a system with a) Using the Routh Hurwitz criterion, the poles of the closed-loop system are only purely imaginary. Calculate the value of K for it to have roots on the axis. b) Calculate the maximum value of K for the system to be stable. c) Calculate the values of K for the system to have roots at the value of -1 on the real axis.
Consider a system with a stable loop transfer function L(s). If the gain|L(iω)| is less than 1 (0 dB) whenever the phase ∠L(iω) crosses −180◦, then the closed-loop system is stable. Answer ture or fasle with explanation. If the Nyquist plot of the loop gain L(s) encircles −1, then the closed-loop system is unstable. Answer ture or fasle with explanation.
d2y(z)/dz2 + 3(dy(z)/dz) + 2y(z) = 3(dx(z)/dz) +2x(z) The above is a linear differential equation. Let's assume x(z) and y(z) as the input and output of an RC sytem respectively. a.Suppose there is an application of an impulse x(z) = δ(z) determine the output y(z) of the system. b.Determine the frequency response & transfer function of the system Also plot the 0-pole locations of the system.
Open loop transfer function G( s ) = K/ s(s+3)(s+4) for a systema) using the Routh Hurwitz criterion, the poles of the closed loop system are purely imaginary calculate the value that K will get so that it has roots on the axis.b) calculate the maximum value that K will receive so that the system can be stablec) calculate the values that K will get so that the system can have roots at -1 on the real axis
A closed loop unity feedback system has the forward transfer function G(s) = 10/[s(s+1) (s+2)+2]. Find the closed-loop transfer function H(s) = C(s)/R(s). Select one: a. H(s) = 10 / (s*s*s+4s*s+3s+13) b. H(s) = 10 / (s*s*s+3s*s+2s+12) c. None of the above d. H(s) = 10 / (s*s*s+5s*s+4s+14) e. H(s) = 10 / (s*s*s+2s*s+s+11)
A coil of inductance 120 mH and resistance 150 ohm is connected in parallel with a variable capacitor across a 20V, 4 kHz supply. Determine for the condition when the supply current is a minimum, (a) the capacitance of the capacitor, (b) the dynamic resistance, (c) the supply current, (d) the Q-factor, (e) the bandwidth, (f) the upper and lower −3 dB frequencies, and (g) the value of the circuit impedance at the −3 dB frequencies.
4. The front end of a television receiver, having a bandwidth of 7 MHz andoperating at a temperature of 27° C, consists of amplifiers having a gain of 15, followed by a mixer whose gain is 20. The amplifier has a 300Ω input resistor and a shot noise equivalent resistance of 500Ω . For the mixer; these values are 2.2kΩ and 13.5 kΩ, respectively, and the load resistance of the mixer is 470 kΩ. Calculate the equivalent noise resistance for this television receiver.5. A receiver connected to an antenna whose resistance is 50Ω has an equivalent noise resistance of 30Ω. What is the receiver’s noise temperature?
From the closed loop poles shown in the S plane, positioned at -1 and -40, determine:a) The 3rd order transfer function in closed loop, considering that it has a gain equal to 40; b) The 2nd order closed loop transfer function; c) The DC gain of the 3rd order transfer function and also of the 2nd order; d) The damped natural frequency, the values of tp, ts (2% criterion) and Mp, calculated from the 2nd order transfer function.
1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that y[n]=x[n]∗y[n]holds where h1[n]=h[n]+0.5drag[n−1], h2[n]=0.5drag[n]−0.25drag[n−1], h3 [n]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
Examine the closed loop stability of a system whose open-loop transfer function is given by.G(s) H(s) =1+4s/s^2(1+s )(1+2s) use nyquist plot
1. Since this is a first order system, provide expression for the time constant. 2. Provide a state space representation of the system. 3. Obtain the transfer function of the system using the state space model. 4. Determine the control gain Kp that results in steady-state error of 0.1
1. An RC network is given in Figure Q1.1 with the input voltage Vin(t) and theoutput voltage Vo(t). a) (i) Derive the transfer function of the network.(ii) If R1 = 10 kohm, R2 = 1 Mohm, C1 = 20 uF, and C2 = 200 uF,mathematically derive the system time response with an impulse input ofmagnitude b) Simplify the block diagram shown in Figure Q1.2 and find out the systemtransfer function Y(s)/R(s).