Electrical and Computer Engineering Homework Solutions

First order Controller design

Please see the attached files for full problem descriptions.

Ziegler-Nichols Rules

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ROUTH - HURWITZ METHOD

Please see the attached file for full problem description. --- Using the Routh Hurwitz method , find values of k for which the following polynomial has all its roots to the left of s= -1 P(s) = ks3 +(3k+1)s2 + 6ks +(5k-1)

Control Systems.

Please refer to the attached file. Consider the attached unity feedback system with plant transfer function... (attached)

Root Locus

Sketch the root locus for the following closed loop system {see attachment} as {SYMBOL1} varies from -{SYMBOL2} to +{SYMBOL2}. You should calculate all steps and show the positive and negative gain loci. It is recommended that you first find the positive locus and then sketch the negative {SYMBOL2} locus. (Real axis solutions o ...continues

PI (Proportional and Integral) Controller Design [Inverse Nichols Chart Used]

Given the plant, P(s) = {see attachment}, a proportional and integral (PI) controller, G(s) = {see attachment} is to be designed to achieve the following specifications ... *Please see attachment for complete question (including specifications)

Root Locus

Draw the root locus for the system with open loop transfer function... (see attachment)

Bode-Nyquist-Root Locus

a) By drawing the Bode plot and then using a rough sketch of the (full) Nyquist diagram, assess the stability... (see attachment for rest of questions)

PI Controller Design

Given the plant (attached) a proportional and integral PI Controller is to be designed to achieve... (see attachment)

Homogeneous, Particular, and General Solutions

y"(t) + 6y'(t) + 13y(t) = te^(-t) Compute the homogeneous solution yh(t). Compute the particular solution yp(t). Compute the general solution y(t) if y(0)=0 and y'(0)=1/8

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