Robust Stability Degree Maximization Cable Vertical Stabilization Systems

We are examining a system that stabilizes a cable's verticality using interval parameters. We have developed a third-degree characteristic polynomial with interval coefficients to achieve optimal performance. The system's stability degree determines its speed, so our goal is to maximize its robust stability degree. We construct possible vertex critical root diagrams for a third-degree system to accomplish this. These diagrams display the critical poles of the system on a single vertical line. We then determine the inverse images of these poles among the characteristic polynomial coefficients polyhedron vertices. By maximizing the robust stability degree in the obtained test vertices of each critical root diagram, we can ensure the system's maximum performance.