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The characteristic equation of a de motor control system can be approximated as 0.02] s³ + (1+0.1J)s² + 116.84s + 1843 = 0 Where the load inertia, JL, is considered as a variable parameter. Plot the root locus graph using MATLAB for variable JL ≥0. Show grid lines for damping ratio with steps of 0.1 and natural frequency up to 200 rad/sec with steps of 10 rad/sec. At what gain the system becomes unstable? Tabulate the gain versus poles in the root locus for the gain range where the system is stable. Use steps of 0.1 for the gain. Find the largest damped frequency of the system and the corresponding inertia load, JL for that frequency from the root locus graph or tabulated data. Find the inertia load, JL of the system such that is satisfies the 1% settling time requirement of 1.93 seconds.

The characteristic equation of a de motor control system can be approximated as 0.02] s³ + (1+0.1J)s² + 116.84s + 1843 = 0 Where the load inertia, JL, is considered as a variable parameter. Plot the root locus graph using MATLAB for variable JL ≥0. Show grid lines for damping ratio with steps of 0.1 and natural frequency up to 200 rad/sec with steps of 10 rad/sec. At what gain the system becomes unstable? Tabulate the gain versus poles in the root locus for the gain range where the system is stable. Use steps of 0.1 for the gain. Find the largest damped frequency of the system and the corresponding inertia load, JL for that frequency from the root locus graph or tabulated data. Find the inertia load, JL of the system such that is satisfies the 1% settling time requirement of 1.93 seconds.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The characteristic equation of a de motor control system can be approximated as 0.02] s³ + (1+0.1J)s² + 116.84s + 1843 = 0 Where the load inertia, JL, is considered as a variable parameter. Plot the root locus graph using MATLAB for variable JL ≥0. Show grid lines for damping ratio with steps of 0.1 and natural frequency up to 200 rad/sec with steps of 10 rad/sec. At what gain the system becomes unstable? Tabulate the gain versus poles in the root locus for the gain range where the system is stable. Use steps of 0.1 for the gain. Find the largest damped frequency of the system and the corresponding inertia load, JL for that frequency from the root locus graph or tabulated data. Find the inertia load, JL of the system such that is satisfies the 1% settling time requirement of 1.93 seconds.
Transcribed Image Text:The characteristic equation of a de motor control system can be approximated as 0.02] s³ + (1+0.1J)s² + 116.84s + 1843 = 0 Where the load inertia, JL, is considered as a variable parameter. Plot the root locus graph using MATLAB for variable JL ≥0. Show grid lines for damping ratio with steps of 0.1 and natural frequency up to 200 rad/sec with steps of 10 rad/sec. At what gain the system becomes unstable? Tabulate the gain versus poles in the root locus for the gain range where the system is stable. Use steps of 0.1 for the gain. Find the largest damped frequency of the system and the corresponding inertia load, JL for that frequency from the root locus graph or tabulated data. Find the inertia load, JL of the system such that is satisfies the 1% settling time requirement of 1.93 seconds.
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