[A] The frequency response of a 2nd order LTI filter is H(e^jw)=(b0+b1e^-jw+b2*e^-2jw)/(1-a1*e^-jw-a2*e^-2jw) Assume b1=b2=0. In each case state whether the filter is highpass, lowpass or band pass and draw the pole/zero plot. i) a1=-1.8, a2=-.81 ii) a1=-1.27, a2=-.81 iii) a1=0,a2=-.81 iv) a1=1.27,a2=-.81 Explain th
Given P = [(3e)^-10.03s] / [s/4 + 1], use the Inverse Nichols Chart to design a simple G(s) to achieve the following specifications. i) Zero steady state error to a step output disturbance. ii) |1/(1 + L)| <= -15dB, w <= 1 rad/s. iii) [1/(1 + L)| <= 3dB, Aw. See the attached files.
1. Explain why high loop gain results in "good" tracking and disturbance rejection 2. Use block diagram reduction to find the transfer function from R1 to Y1 for the following system. (You can take all other external inputs to be zero). See the attached file.
Consider a control system described by the attached state space model. (1) For the system in question do the following: - Find the system transfer function, {see attachment} - Find the system eigenvalues - Check the system controllability and observability (2) Assume the state feedback of the form: {see attachment} and
(a) Graph the theoretical number of users of a CDMA system with a data rate of 9.6 kbs and 14.4 kbs while varying the Voice activity factors from 10% - 100% (b) Create the Walsh code matrix for a W16. (c) For IS-95, on the forward link, list the Walsh code assigned to the various logical channels (hint: there are 64 Walsh code
A parallel plate capacitor has its plates at x = o and x = d. The space between the plates is filled with an inhomogenous material with permittivity: {see attachment}. The plate at x = d is maintained at Vo while the plate at x = o is grounded. (a) Solve Laplace's Equation for V(x) (b) Find the field {see attachment} between
Assume the signal consist of a sum of 3 sinusoids (sine functions, no phase delay). One sine is at 50hz, the second is at 60hz, and the third is at 75 Hz. The 50hz and 60hz sines have a peak magnitude of 1, the 75hz sine has a peak magnitude of .1. Assume the combined signal is sampled at 240hz, and 256 samples of the signal are
An open loop transfer function of a certain unit feedback control system is described as below, where K is an adjustable gain (Proportional Controller) and G(s) is a process transfer function. 1. In the space provided (see attached), sketch a Root Locus plot of the closed loop system for positive Proportional Controller gain
Consider the block diagram in Figure Q3.1, describing the process from Question 2, under Proportional-Rate Feedback control (see attached). 1. Find a closed loop system transfer function in terms of controller gains, Kp, Kd. 2. Find the values of gains Kp, Kd such that the resulting Percent Overshoot of the closed loop s
Consider five different control systems, with descriptions below. Which system will have the slowest rise time? (see attached) System 1: Two complex poles at -10 -j5, -10 +j5; System 2: Two complex poles at -10 -j5, -10 +j5 and a zero at +2; System 3: Two real poles at -10, -3; System 4: Two complex poles at: -10 -j5, -10
Please refer to the attached file. It may contain more than one-page. A PCM system with uniform quantization is used to transmit a speech signal. The bandwidth of the signal is equal to 6 KHz. At the receiver we require an SNR in the reconstructed signal equal to 40 dB. a) What is the minimum sampling rate for the speech
For the circuit of the figure attached, determine the required values of Rd, R1 and R2 so that the transistor operates in the saturation region with Id=0.5mA and Vd=3V. The enhancement mode PMOS transistor has Vt=-1V and K=0.5mAV^-2. What is the largest value Rd can have while maintaining the transistor in saturation?
A silicon n-p-n bipolar junction transistor is designed with emitter, base and collector doping levels of 10^19cm, 10^15cm and 5*10^17cm, respectively. Assuming the intrinsic carrier concentration (ni) in silicon to be 10^10cm, calculate the Fermi Energy, Ef, relative to the intrinsic energy scale clearly to show the relative po
First Problem: 1. Find TY/R. 2. Find TU/d Second Problem: a) Find TY/R for the following system.
Consider a transient response of a control system as shown in the attached figure. Choose which system description matches this response. a) DC gain 2, pole at -2, -3, -4. b) DC gain 2, pole at -1-j4.4, -1+j4.4. c) DC gain 1, pole at -1-j4.4, -1+j4.4. d) DC gain 1, pole at -10. e) DC gain 2, pole at -10, -2, zero at +5.
Consider the block diagram in the attached figure Q3.1, describing the process under Proportional-Rate Feedback control. 1) Find a closed loop system transfer function in terms of controller gains, Kp, Kd. 2) Find the value gains Kp,Kd such that the resulting Percent Overshoot of the closed loop step response will be equal
Consider the block diagram attached, describing a process under Proportional-Integral-Derivative control. 1) Is the system open loop stable? Justify your answer 2) Let Ki = 10. Use the Routh-Hurwitz criterion to find the range of Kd, and Kp in terms of Kd, so that closed loop stability is achieved. 3) Suppose that Ki =
Find the impulse response of a filter matched to the signal in the attached problem. 1 Find the impulse response of a filter matched to the signal . Assume
Which one of the following statements regarding the operation of a PID controller is definately false? - Higher Proportional gains improve steady-state error performance. - If the system operates in a noisy industrial environment, PID control is recommended - Higher Integral gains may result in the system becoming unstable
Consider the responses of a closed loop system under several types of control. Choose the controller configuration that would result in the response following the dashed line trace on the plot. - Proportional Control - Lead Control - Proportional + Derivative Control - Lag Control - PID Control
Which one of the following statement regarding to operation of a PID is true? - Lower proportional gains improve steady state error performance - Derivative action tends to slow down system rise time - Higher derivative gains filter out noise - High integral gains may saturate controller output and cause the windup effect -
Please supply steps to correct answer: For a CLOSED LOOP unit feedback control system, if reference (R) is eqaul to 5 units, and forward path Gain (G) is equal to 10, then the system output (Y) must be: (a) 50 (b) 4.54 (c) 5 (d) 10/11 (e) 0.454
The questions are for the equation: y"(t) + 6y'(t) + 34y(t) = 2x'(t) + 11x(t) a) Compute the transfer equation Y(s)/X(s). b) Compute the response of the system to the input x(t)=e^(-2t) u(t) assuming no initial stored energy. c) Compute the response of the system to the input x(t)=4t^2 * e^(-6t) u(t).
Question: Find the values of k for the system in part a) and the values of alpha for part b). Please view the attachment file to see the full questions for parts a) and b).
Given the Bode plot of open loop L(s)=..., (i) Make a sketch of the Nyquist diagram and determine the stability of the closed loop system with negative feedback.(ii)If the system is unstable... (See attachment for full questions)
This is perhaps more of a mathematical question nonetheless, I'm unsure how (cant seem to arrive at the result) substituting equation 3-27 into 3-23 results in 3-28. Please see the attachment.
Roughly sketch the Bode diagram, and hence the complete Nyquist diagram for: {see attached} Proportional control of the plant {see attached} in a standard negative feedback 2DOF structure (with an ideal sensor) is to be investigated {see attachment for questions}.
A process has a transfer function: {see attached} and is included in a unity feedback loop with a proportional controller Kp in a feedforward branch of the control loop. (a) Sketch a Nyquist contour for this system (b) Apply the Nyquist stability criterion to find a suitable range of K for stable closed loop system behaviour.
Please refer to the attached file.
Consider the root locus for ... (*see attachments for function and diagram) i) Graphically, find the gain required to give dominant closed loop poles with ... (*see attachment for function) ii) For the above value of gain, find natural frequency and hence sketch the expected reference to output step response, assuming that the