Root Locus Analysis & Dynamic Control Systems Evaluation

Overview

This repository contains numerical implementations and visual analysis tools for Root Locus Plots and dynamic control system evaluations. The project focuses on visualizing closed-loop pole trajectories as a function of system gain ($K$), evaluating stability margins, and analyzing transient response characteristics for standard control system configurations.

Developed as part of academic and practical explorations in Control Systems Engineering & Industrial Automation.

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Key Features

• Root Locus Visualization: Automated plotting of closed-loop poles across varying open-loop gain parameters ($K$).
• Stability Analysis: Identification of critical gains, break-away/break-in points, and marginal stability boundaries on the $s$-plane.
• Transient Response Evaluation: Step response simulation and performance metrics (settling time, overshoot, peak time) for selected closed-loop gain configurations.
• Custom System Specifications: Support for arbitrary open-loop transfer functions $G(s)H(s)$.

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System Requirements & Dependencies

To run the analysis scripts locally, ensure you have Python installed along with the following libraries:

pip install numpy matplotlib control scipy