Optimal V-Plane Robust Stabilization Method for Interval Uncertain Fractional Order PID Control Systems

Robust stability is a major concern for real-world control applications. Realization of optimal robust requires stabilization scheme, which ensures that the system stable and presents performance predefined range perturbations. This study presented an approach closed-loop fractional order proportional integral derivative (FOPID) systems with interval parametric uncertainty uncertain time delay. approach, carried out in v-plane, relies on placement minimum angle pole to target within region first Riemann sheet. For this purpose, tuning FOPID controller coefficients was performed minimize root error defined as squared difference characteristic polynomials desired v-plane. To solve optimization problem, particle swarm (PSO) algorithm implemented. Findings reveal can also be used improve systems. Illustrative examples demonstrated effectiveness proposed v-domain, optimal,