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# Electrical Engineering

### Matlab and Designing Controller System

Consider the following system whose state space representation is as follows: (see attached file for better representation) x'1 0 1 0 x1 0 x'2 = 0

### Determine peak time and overshoot in a control system

A system with G(s) = K/(s(s+1)(s+4)) where K = 1 Design aPI controller so that the dominant roots are at s = -0.365+j0.514 and -0.365-j0.514. If a change of K = +50% or -50% occurs. Does the system peak time increase or decrease? Does the overshoot increase or decrease?

### Bandwidth of the closed-loop system

Consider the paper machine control in the attached file. Plot the bandwidth of the closed-loop system as K varies in the interval 1 &#8804; K &#8804; 50. What gain is required to provide a bandwidth of 10 rad/sec? See attached file for full problem description.

### Plotting Curves of the Compensated Systems: Matlab

Given the attach document, design a compensator such that the static velocity error constant is 4 sec^-1, phase margin is 50 degree and gain margin is 10 db or more. Plot unit-step and unit ramp reponse curves of the compensated systems with Matlab. Also draw a Nquist plot of the compensated system with Matlab.

Using the attached doc, this is a close-loop system, design a lead compensator Gc(s) such that the phase margin is 45 degree, gain margin is not less than 8 db, and the static velocity error constant Kv is 4.0 sec^-1. Plot unit step and unit ramp response curves of the compensated system with MATLAB

### Gain Margin of a System

Consider the system shown in the attachment. Draw a bode diagram of the open loop transfer function, and determine the value of K such that the phase margin is 50 degrees. What is the gain margin of this system with the gain of K?

### Control signal processing problem

Consider the unity-feedback control system whose open-loop transfer function is G(s)= (as+1)/(s^2) Determine the value of a so that the phase margin is 45 degrees.

### Inverse Nichols Chart

Question 4: a) Given P = [s/(-100) + 1]/[(s/4)^2 + 1.4(s/4) + 1], use the Inverse Nichols Chart to design a simple G(s) to achieve the following specifications. Show all design steps and sketch your final loop transfer function on the inverse Nichols Chart. i) Zero steady state error to a step output disturbance. ii) |1

### System Modeles

Consider the system modeled by: x' = Ax + Bu , y = Cx + Du where dim x=2 and dim u = dim y = 1 a) Given u=0 and the initial-state responses 1 x(0) = &#61535; y(t) = e

### Propagation Fundamentals- Cellular Systems

1. A cell is located over smooth, flat terrain. The system operates in the 1900 MHz band and the base station antenna is located 15 m above the ground. The mobile terminal is 250 m away from the base and its antenna is 1.5 m above the ground. (Use 1920 MHz in your computations.) (a) Compute the propagation loss. (b) What is

### Micro Electric Circuits

For the depletion-load amplifier, let W1=80microm, L1=4micrometers, W2=8 micrometers and L2=32 micrometers. If the body-effect parameter X=0.2, find the voltage gain neglecting the effect on ro. a. -44.72 V/V b. -45.6V/V c. 44.72 V/V d. 45.6 V/V

### Microelectric Circuits

For the circuit shown below, find the largest value that Rd can have while the MOSFET remains in saturation. Id = 0.5 mA, Vd = 1 V. The NMOS transistor has Vt = 2V. (see attached file for circuit layout) a. 16.0 k ohms b. 18.0 k ohms c. 20.0 k ohms d. 22.0 k ohms

### Working with Zener diode voltage regulators.

Please check my work and if incorrect give me the correct answer A shunt regulator utilizes a zener diode whose voltage is 5.1V at a current of 50 ma and whose incremental resistance is 8 ohms. The diode is fed from a supply of 12 V nominal voltage through a 220 ohm resistor. What is the output voltage at no load? a. 4.8 V

### Control System Specifications and Response

I need some help with this question, look at attached files for better symbol representation and also diagrams: For a system with P = (3e^-0.1x / 2s + 1), it is desired that a step input disturbance, di = 3 sigma (t), results in an output of not more than 0.1. (Note that the dead time gives a relatively small effect in the clo

### Highpass Filter

Design a highpass filter with a cutoff frequency of 1000 Hz with a load resistance of 1000 ohms.

### Find the transfer function from state space representation

Consider the following system (see attachment) whose state space representation is as follows: a) Find the transfer function of the system. b) Compute eAt using the eigenvalues and eigenvectors method. c) Compute eAt using the partial fraction method. d) If u (t)=0 for t &#8805; 0,compute x (t), y(t), and x(1) =[ -1 2]T

### Voltage by volt-ohmmeter & EVM

A voltage of 500 V is impressed on a 150 ohm resistor. The impedance of the voltage source is 10 k&#937;. Two meters are used to measure the voltage across the 150-k&#937; resistor: a volt-ohmmeter with an internal impedance of 1000 &#937;/V and an EVM with an impedance of 11 M&#937;. Calculate the voltage indicated by each of

### Approximation of Quarter Circle Using Bezier Curve

Determine the Bezier curve of order 3 that approximates a quarter circle centered at (0,0), (1,0), (0,1). a) Calculate the coordinate of the middle point on the Bezier curve and on the arc and compare them. b) Plot both curves.

### Spectrum Limitations

(See attached file for full problem description) --- A signal x(t) of finite energy is applied to a square-law device whose output y(t) is given by y(t) = x2(t) The spectrum of x(t) is limited to the frequency interval -W &#8804; f &#8804; W. Show that the spectrum of y(t) is limited to -2W &#8804; f &#8804; 2W. (Hi

### Multiplexing

What if any are the benefits of multiplexing?

### Design with Multiplexer

I need some help answering this question: (I am not sure what C is, but it might mean complement) Design a circuit using one 16 TO 1 multiplexer with W, X,Y,Z on the control inputs. Let w be the most significant bit and Z the least significant bit on the control inputs: The equation of the circuit is: F= (Y+Z)(CW+CX+WX)+Y

### Drawing a state diagram and state table

How would a Moore Model be developed from this design (provided in the attachment)? Could you also provide the state diagram and state table? If you can, can you please give me a description of how you derived such design of the circuit?

### Electrical Engineering - Root locus

(b) A particular system has the open loop transfer function: g(s) = (s+4)/((s+1)(s-2)) sketch the root locus for this system (c) The system is placed in a feedback control system as shown in Figure Q6. Determine the gain, k, which would result in marginal stability. Determine the frequency of oscillation which would res

### Control Systems Specifications

Given P = 1/(s/3+1), obtain a second order model for T(Y/Di) (transfer of input disturbance to plant output with feedback) to satisfy the following regulating requirements for a step input disturbance of height 15 units. Estimate lamba from the shape of the response. (See attached file for full problem description).

### J-K Flip-flops

Using negative edge triggered J-K flip-flops, design a 3-bit synchronous sequence generator to generate the following sequence: 0,1,3,6,0..... 1. Draw up a table showing the input requirements on the J & K terminals for the four possible changes of state at the output. The table should be headed: PRESENT Q, NEXT Q, INPUTS J

### Complex impedance and phase angle

Refer to diagram in attached file. 1. Derive an expression for the complex impedance between terminals A&B referring to the reactances as Xc & XL. Express the answer in the form of (real part + j * imaginary part) 2. Calculate the phase angle of the current I relative to the voltage Vin for a source frequency of 3kHz(must

### Wireless Networks Question

Please help with the following problem. Mobile IP was intended to work with legacy correspondent hosts and legacy applications. However, some advantages may be gained if correspondent hosts are aware of mobility in certain ways. a) If a correspondent host is able to do IP-in-IP decapsulation, it may be able to communicate

### Calculating the Maximum Calling Rate

You have a bandwidth of 10 MHz (per direction) in a single-cell system and want to deploy a wireless telephone system. You have the following options: analog 30-kHz channels (as in AMPS), digital 30-kHz channels (each supporting 3 users as in IS-54), digital 200-kHz channels (each supporting 8 users as in GSM), or CDMA with 10-k

### Wireless Networks Questions

You want to download a 5 Mbit file over a 10-Mbps Rayleigh fading channel in the 1800 MHz frequency band. You are traveling at 6 km/h and use 1000-bit packets. The fading margin of the channel is 20 dB. If any packet is received in error during the transfer, the operation is aborted. (a) What is the probability that you successf

### Wireless Networks Questions: Mobile Communications

The signal transmitted by a Base Station has a power of 1 mW at a distance of 1 m from the transmitter. Measurements have shown that the propagation exponent for the path loss is n=3 up to a distance of 1 km and n=4 beyond that. For adequate signal quality, a signal to noise ratio of at least 15 dB is required. Find the maximum