Linear system stability

Use Routh Hurwitz to find values for... (see attachments)

Root Locus

Draw the positive and negative gain root-locus of... (see attachment)

Spring constant

The force versus displacement for a spring is shown in the attached figure. Graphically find the spring constant .... (see attachment for remainder of question)

PID Controller + Root Locus

Please see the attached files for full problem descriptions.

Bode Plot, Nyquist, Linear Stability

Please see the attached files for full problem descriptions.

Bode Plot, Nyquist, Linear Stability

Please see the attached files for full problem descriptions.

First order Controller design

Please see the attached files for full problem descriptions.

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