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# The Utilization of MATLAB and RVSL in Establishing the Root Locus of the System - Assignment Example

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The author states that variations between RSVL and MATLAB emanated from correctness in values. This is due to the utilization of the virtual oscilloscope in the measurement of the features together with the noise and indefinite simulated measurement in RSVL while MATLAB determines response values…

## Extract of sample "The Utilization of MATLAB and RVSL in Establishing the Root Locus of the System"

Download file to see previous pages As noticed in Lab 3 the stability, response, as well as all features of the response of a system, are governed by system poles’ location. Poles’ location can differ if a factor in the system is altered (mostly gain (K).The poles usually move with a pattern as the gain is varied in the system, which can then be used in establishing system features for every value of K.

This is facilitated by Root Locus which enables us to calculate and graphically plot all likely K values within a system. System pole movement plotting facilitates response features for the definite gain to be read straight off the graph, which is extremely helpful as it indicates the system’s response for all potential K values.

For a basic feedback control system as indicated below, the root locus is determined; where the closed-loop transfer function is represented by N(s) is the numerator polynomial and D(s) is the denominator polynomial or the distinctive equation. As indicated by figure 1 below, a system can be designed to consistently respond and as needed by the use of root locus. Radial lines radiating from the source are lines of steady dampening whereby. This, therefore, can be utilized in determining percentage overshoot which gives the ratio of real to imaginary elements; this implies the lines are also lines of constant overshoot. Making an assumption that the coupling of the load and motor is perfect, then the friction co-efficient (bs)=0 as well as the spring constant (K), modeling of the drive can be done by the following equation; Section B of the first Experiment needs the utilization of a filter in the control system which is utilized in the reduction of noise. RSVP has alternatives for no filter, first as well as second-order filters. Variations between RSVL and MATLAB emanated from correctness in values. This is mostly due to the utilization of the virtual oscilloscope in the measurement of the features together with the noise and indefinite simulated measurement in RSVL while MATLAB determines exact response values.    ...Download file to see next pagesRead More
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