Root Locus Analysis and Parameter Calculation Tool

This MATLAB program performs plots, poles/zeros, asymptotes, Angle of Departure and Arrival, Imaginary Axis Crossing and break in/away point

This MATLAB program performs a comprehensive root locus analysis for a given transfer function. It calculates and visualizes critical parameters of the root locus, making it a valuable tool for control system analysis and design. The program accepts the numerator and denominator coefficients of the transfer function and provides insights such as:

Root Locus Plot: Displays the root locus of the system with a grid for better visualization.

Poles and Zeros: Identifies and lists the poles and zeros of the system.

Asymptote Calculation: Computes the number, angles, and centroid of the asymptotes.

Breakaway and Break-in Points: Determines points where roots diverge or converge on the real axis.

Angle of Departure and Arrival: Calculates these angles for complex poles and zeros.

Imaginary Axis Crossing: Identifies points where the root locus crosses the imaginary axis, along with the corresponding gain values.

Key Features:

Symbolic computation for accurate parameter analysis.

Detailed outputs and visualizations for understanding system behavior.

User-friendly and well-documented for ease of use.

Input:

Numerator and denominator coefficients of the transfer function.

Output:

Root locus plot and detailed analysis results displayed in the MATLAB Command Window.

How to Use:

Define the numerator and denominator of the open loop transfer function.

Define transfer function input format

num = [1 9]; Example: Represents G(s) = s + 9

den = [1 4 11 0]; Example: Represents G(s) = 1/(s^3 + 4s^2 + 11s)

Call the function using root_locus_parameters(num, den);.

View the root locus plot and detailed results in the output.