I am completely lost with Nyquist. I am sure it's a plot of G(s), but when I put the plot in my calculator, it looks nothing like a traditional nyquist plot.

I have a pole at the origin, that is not in the rhp is it? I have a zero in the rhp. So, the number of encirclements is N=#p-#z= so that's -1? There are -1 ccw encirclements? Help!

I'm trying to design a lag compensator with kv=2, pm>=50, PM>0 for all w<=wc (where wc is the corner frequency).

Please help me to understand how to do the nyquist plot for G(s)=2((-s/.142)+1)/(s* ((s/.35)+1) ((s/.0362)+1) ))

Transfer function of the system:
-14.08 s + 2
-------------------------
78.93 s^3 + 30.48 s^2 + s

Root locus of the system:

There are three poles and a right hand pole zero.

Nyquist diagram of the ...

Solution Summary

The solution is provided in an attachment and includes diagrams and short explanations describing how to manually draw a nyquist diagram. A reference is also given.

Given the transmitter and media (in the attachment) with a bandwidth of 20kHz, provide two digitizer and modulation combinations that are feasible together given the Nyquist capacity relationship.

Design a proportional and integral controller, G= k_p ((a+1/T_1)/s) for the plant,
P = 1/((X+1)(S+3)) to have dominant poled with (see attachment)
i) Use rough sketches of the root locus to determine the location of the controller zero (i.e. find T_1)
ii) Calculate the required controller gain Kp, (An accurate root lo

An audio signal has a bandwidth that extends from 100 Hz to 10 kHz. The signal is sampled to create a PAM signal and then digitized by an analog to digital converter (ADC) that has 8 bits. The digital signal is transmitted as a bit stream to a distant location where it is converted to parallel words and input to a digital to a

A) Analyse the closed loop stability of the system with open loop transfer function {see attachment}
i)Make a sketch of the Bode diagram and hence the full Nyquist diagram, showing all relavent details
ii) If the system is unstable, state the number of closed loop right hand plane poles and comment on how you might stabili

(Complete problem with equations found in attachment).
Problem 1
A very common industrial controller is the proportional and integral (PI) controller. It has
a transfer function,
, kp is the proportional gain, Ti is the "reset time"
For an integrating process, P(s) = 2/s, investigate the positive root locus for

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 =

The input output relation of a non linear system is y(t) = x(t)^2, the signal x(t) is band limited to Omega(max) = 2000*pi rad/s, it is shown if the output signal y(t) is band limited at all based on this scenario
Further the output y(t) is low pass filtered with magnitude of unity and cut off Omega(c) = 5000*pi rad/s. The re

A music signal has a bandwidth of 50 Hz to 10 kHz. The signal is sampled, converted to a serial bit stream, transmitted over a digital radio link, and recovered as an analog signal at the receiver.
a. What is the sampling rate for this signal if sampling occurs at 1.2 times the Nyquist rate?
b. The ADC used at the transmit

The output of a video surveillance camera is an analog signal with a bandwidth that extends from 0 Hz to 1.5 MHz. The signal is sampled at 1.2 times its Nyquist rate.
The resulting PAM signal is converted to 6 bit digital words with an analog to digital converter and the words are transmitted serially over a twisted pair use