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Electrical Engineering

Control Systems (Frequency Domain)

Problem 2: A robot tennis player is shown in the figure above. The goal of the control system is to attain the best step response while attaining a high Kv. 1. Why is it desirable to attain a good step response and a high Kv? 2. Select Kv1=0.325 and Kv2=0.45. Note K does not equal Kv. Determine the phase margin, gain ma

Bode Plots for Loop Functions

1. The Bode plot for the loop function of a unity feedback system is shown below: Determine the gain K which must be added to the system so that a phase margin of 45 degrees is achieved. K=3.5 K=1.4 K=0.17 K=0.83 2. The loop function for a unity feedback system is: G(s) = 2K/s(s+1)2.

Bits and Set Outcomes

How many bits will it take to represent the following sets of outcomes? (For example, 1 bit is enough to represent male/female, and 2 bits to identify four seasons of spring, summer, fall, winter as of 22 = 4) a. The uppercase alphabet A, B, . . . , Z b. The digits 0, 1, . . . , 9 c. The seconds in a 24-hour day d. The

Control Systems Comparison

Problem 1: Using the riocus function, obtain the root locus for the following transfer function shown in Figure 1 when 0 < k < ∞ and G(s) is defined as the following: G(s) = (s5+4s4+ 6s3+8s2+6s+4)/( s6+2 s5+2s4+s3+s2+10 -1) 1. Comment on the stability of the system as k varies. Figure 2 Problem 2: Consider

Matlab to determine closed-loop transfer functions

Problem 1: A unity negative feedback system has the open-loop transfer function. G(s) = (s + 1)/(s3 + 4s2 + 6s + 10) 1. Using MATLAB, determine the closed-loop transfer function. 2. Using MATLAB, find the roots of the characteristic equation. 3. Is the system stable, marginally stable, or unstable? 4. Use ltiview to d

Control System MATLAB Script

Please see the attached file for a diagram and help with the following problems. Consider the closed-loop control system shown above. 1. Develop a MATLAB script to assist in the search for a value of k so that the percent overshoot to a unit step input is greater than 1%, but less than 10%. The script should compute the c

Design of a synchronous machine

Please see the attachment. Design a clocked synchronous state machine with state/output table shown in the file, using D Flip-flops Use state variables Q0,Q1,Q2 with state assignment A=000 B=001 C=010 D=011 E=100 F=101 Use Don't care to minimize the circuit where appropriate. Develop excitation and output equations. Draw t

Synchronous state machine analysis

Please see the attachment. Analyze the clocked synchronous state machine shown in the file (part A). write the excitation and output equations. Develop the transition table and the state/output table. Draw the state diagram. Is this a Mealy of a Moore machine? Draw the timing diagram for the machine for 10 clock cycles. as

SR flip flop from D Flip flops

Show how to build a rising edge triggered SR flip-flop using a rising edge triggered D flip-flop and combinational logic. Hint: Use Characteristic equations in chpt 7 Reference material: Digital Design Principles and Practices (Fourth edition) by John F. Wakerly

Control Systems Complex Controller

Problem 1: Consider the closed-loop transfer function T(s) = 10K/(s2 + 20s + K) 1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following: a. Percent overshoot b. Settling time c. Steady-state error. Figure 1 Problem 2: A negat

Control System Problem

Problem 1: Consider the differential equation: d2y/dt2 + (3)dy/dt +2y = u where y(0) = dy(0)/dt = 0 and u(t) is a unit step. 1. Determine the solution y(t) analytically. I have the following(using Laplace transform): [s2Y(s) - sy(0)] + 3[sY(s) - y(0)] + 2Y(s) = 1/(s) s2Y(s) + 3sY(s) + 2Y(s) = 1/(s) Y(s)[s2 + 3s

Inverse Fourier transform

Please see the attached file for details. 1. A continuous time signal x(t) has the Fourier transform X(w) = 1/(jw + b), where b is a constant. Determine the Fourier transform for v(t) = x(5t - 4). 2. For a discrete-time signal x[n] with the DTFT X(w) = 1/(e^jw + b), where b is an arbitrary constant compute the DTFT V(&#937

Finding the Periodic Discrete Signal

Please see the attached file for details. 4. Determine if x(n) = cos(pi* n/4)cos(pi* n/4) is periodic. If periodic, calculate period. 5. Determine if x(n) = cos(3t + pi/4) is periodic. If periodic, calculate period. 6. For the RC circuit shown in the figure, find the input/output differential equation.

Signal and Laplace Transform

Please see the attached file. 1. Determine if the linear time-invariant continuous-time system defined is stable, marginally stable, or unstable. s - 1/(s^2 +4s + 5). 2. Determine if the signal given is linear, time invariant, causal, and/or memory-less: y(t) = d^x(t). 3. Determine if the signal given is linear, tim

Z transform stability determination

See attached file for problem details. 1. A system has the transfer function: H(z) = (z2-3z+1)/(z3+ z2-0.5z+0.5) Is the system stable, marginally stable, or unstable? 2. A discrete-time system is give by the input/output difference equation: y[n+2]-y[n+1]+y[n]=x[n+2]-x[n+1] Is the system stable, marginally stab

Laplace Transforms & Transfer Functions

Compute the transfer function H(s) of the continuous-time system below given by the input/output differential equation. ________________________________________ By using the Laplace transform, compute the convolution x(t)*v(t) of the two signals where x(t)=e-tu(t) and v(t)=(sin t)u(t): Using the convolution equation,

Laplace transform and z-transform

Please see the attached file for full problem description. 16. Compute the inverse Laplace transform of X(s) = (s + 2)/(s^2 + 7s + 12) 17. The Laplace transform of e^(-10t)*cos(3t)u(t) is 18. Use the Laplace transform to compute the solution to the differential equation defined by dy/dt + 2y = u(t) where y(0) = 0. 19

Create and analyze continuous and discrete-time signal using MATLAB

See attached file for full description: Activity 1: Consider the discrete-time signal: x[n] = sin(2*pi*Mn/N), and assume N = 12. For M = 4, 5, and 10, plot x[n] on the interval 0 =< 0 < = 2n - 1. Use stem in Matlab to create your plots, and be sure to approximately label your axes. Questions: What is the fundamental period

A signal's Fourier transform

I have attached some problems that I think I am working correctly. I wanted to verify the concept is correct. A signal x(t) = exp(-t)*cos(3t) is turned on at t = 0. What is its Fourier transform? Consider the signal in problem 6. What is the Fourier transform of its derivative with respect to time? What is the Fourie

The Value of the Capacitor Size

An electrical supply company charges its consumers a penalty if their reactive energy consumption (Kvar-hour) exceeds half their true energy consumption (Kilowatt-hour). Calculate the value of the parallel capacitor required to be installed at the factory to avoid the penalty. I know that: Apparent power S = 32594.05 Ac

Graphing the root locus and finding range of stability

I understand how to use Matlab to graph the loci, but I need help to understand how to graph the loci by hand. Sketch the Loci and find range of K for stability for these two problems K(s+1) ------------------ (s-1)(s^2 + 4s + 16) and K ------------------- (s-1)(s^2 + 4s + 7)

Writing Programs for Keys and Key Combinations

Please help me write a program that will display the hex code for any key or key combination that is pressed on the keyboard. Display the key code in the center of the screen. For instance, if the key number 0 is pressed, display a 30 on the center of the screen. This code must be for the 8086 chip and work with the A86 assemble

Real Op Amp

6. A real op amp is modeled by an ideal op amp, input bias current sources and an input offset voltage source. Given V10 = 10 mV, Ib1 = Ib2=Ib= 100 nA and R= 100 kilo-ohms a. Derive an expression for Vout as a function of V1 and V2. b. What is the value of the output voltage, Vout if both V1 and V2 are set to zero. See a

Voltage Out and Voltage In Calculations

Notes: In the schematics, ground and chassis may be assumed to be common, unless specifically stated otherwise. Unless otherwise specified, assume that Op-Amps are ideal and that supply voltages are +/- 15 V. 3. Given that: VD1 = 0.7V at ID1= 1 mA, n = 1 for diode D1 R1 = 500 ohms, R2 = 100 ohms, and Rl = 10 kilo-ohms Vt

MATLAB Signal Analysis for Stock Closing Price

%% see attached file for EWMA filter definition and closing price for Q csv file%% Using the closing prices for Q for the 50 business day period from March 1, 2004, up to May 10 2004, a. For the 40 day time period 11 < n < 50, compute the difference D[n]=y1[n] - y2[n] where y1[n] is the response of the 11 day EWMA filter w

Capacitor Resonance

Show that in a resonant LCR series circuit the maximum potential across the condenser occurs at a frequency W=Wo (1-1/2(Qo)^2)^1/2, where (Wo)^2 = (LC)^-1 and Qo = Wo(L/R). See attachment for better symbol representation.