Stabilizing region in dominant pole placement based discrete time PID control of delayed lead processes using random sampling

Handling time delays in industrial process control is a major challenge the dominant pole placement based design of proportional-integral-derivative (PID) controllers due to variable number zeros and poles which may arise from Pade approximation exponential delay terms characteristic polynomials used for stability analysis. This paper proposes new concept designing PID with derivative filter using method mapped onto discrete domain suitable choice sampling convert continuous time-delays into finite poles. Here, continuous-time plant filtered controller have been discretized pole-zero matching handling linear dynamical systems, represented by first order plus zero (FOPTDZ) transfer function models open-loop system under control. We use swarm intelligence global optimization as sampler discover approximate pattern stabilizable region parameter well specification space while also satisfying analytical conditions given higher polynomials. Simulations on test-bench plants stable, unstable, integrating, low-pass, high-pass characteristics presented demonstrate validity effectiveness proposed method.