Root Locus Analysis

Root locus analysis is a graphical method used in control engineering to examine how a system’s behavior changes as a particular parameter, usually gain, varies. By plotting the locations of the system's poles (points that determine stability) on the complex plane, engineers can visualize how the system’s stability and response evolve. This helps in designing controllers that ensure the system remains stable and performs well across different operating conditions. Essentially, it's like mapping possible system behaviors to make informed adjustments for desired performance and stability.