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Electrical Engineering

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

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

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,

Rotor Slip, Current, Angular Velocity

The name plate on a 460 V 50 hp 60 Hz four pole motor indicates that its speed at rated load is 1760 r/min. Assume the motor to be operating at rated load. a) What is the slip of the rotor? b) What is the frequency of the rotor currents? c) What is the angular velocity of the stator field with respect to the stator? With re

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

Drawing a Polar Plot using Matlab

See attachment for full problem description. A unity feedback system has a process: (see attachment) Determine the range of K for which the system is stable by drawing a polar plot. The radius = K/2 for K > 1 there is P = 1 and N = -1. Z = N + P = -1 + 1 = 0 and the system is stable for K >1. I believe the best

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

Plot Magnitude of a Sequence in Matlab

Consider a sequence x[n]={1,-1,1,-1}. I need help in determining how to use the function fft to find the DFT coefficients X[k] of x[n] in Matlab. Also, how would you plot the magnitude of X[k] in Matlab?

Double Stub Tuner

Suppose that we wished to match an admittance using a double-stub tuner where the stubs are lambda/4 apart. For what range of admittance values can we perform the stub tuning? (If y = g + jb, what are the maximum values of g and b?)

Input Impedance

If we have a 600 ohm transmission line terminated with a 1200 ohm resistor, how long must the transmission line be if the input impedance is purely real? What is the input impedance?

MATLAB Fourier Analysis of System

Use the contfft program to identify the frequency response of a system from its inputs and outputs. The program contfft is shown below.Save it as contfft.m in your current MATLAB directory as denoted at the top of the MATLAB window. (a). Generate a random input signal x(t) in MATLAB by using the command rand. In particul

Matlab - Signal Processing

A continuous time function is seen below in figure 1. This signal is a sinc function defined as y(t) = sinc(t). T Fourier transform of this signal is a rectangle function. 1. Use the function linspace to create a vector of time values from -5<=t<=5. Next, plot the functon shown in figure 1 using the sinc function for y(t)=sin

Matlab - Sunspot

Please be sure to enclose all plots and codes on a word document. Thanks Lab 4: Activity 1: Step 1: Download the monthly sunspot data for the 33-year period from January 1875 through December 1907. This will be a total of 396 data points. Go to http://sidc.oma.be/sunspot-data/. Under ASCII files, select monthly and monthly s

Matlab - A discrete-time system has the following unit-pulse response

There are two files which both need completed. Please see attached files for full problem description. Please be sure to provide code and plots. Thanks. Lab 2: 1. A discrete-time system has the following unit-pulse response: h[n] = 0.5^n - 0.25^n, for n >= 0 Correspondingly, the following difference equation desc

Matlab work: linear time-invariant continuous system and Laplace transform

Please refer to attached. Please submit Matlab code along with plots and anwsers. Thanks. A linear time-invariant continuous-time system has the impulse response below: h(t) =[cos 2t + 4 sin 2t]u(t) (a) Determine the transfer function H(s) of the system. (b) Plot the system impulse response using MATLAB. (c) The input,

Vertical Take Off and Landing Aircraft

For a VTOL (Vertical Take Off and Landing) aircraft, there is the following Block Diagram (see attached VTOL_BlockDiagram file). a) Find the system response for step input and determine the steady state error b) Find the variation of Kc in the stability of VTOL c) Is the system always stable? a = 0.5; b = 10; c =3

Solid State Device Theory Exercise

Solid State Device Theory Exercise. See attached file for full problem description. 1. A semiconductor sample has the band diagram below. (a) Is this semiconductor in equilibrium? Explain. (b) Sketch the electric field versus x. (c) Roughly sketch n and p versus x. (d) Make a rough sketch of the electron drift curre