PID Controller Design with a New Method Based on Fractionalized Integral Gain for Cruise Control System

Abstract

In this study, a fractionalized PID controller based on particle swarm optimization (PSO/FrPID) is presented for automobile cruise control systems. This system, known for its significant nonlinearity, has been linearized around its equilibrium point. In this method, the PID controller is designed using fractionalized integral and integer orders. This approach increases the parameters of the modified PID controller to four. The effectiveness of the proposed controller is evaluated in comparison to traditional PID methods, atomic search optimization (ASO/PID), particle swarm optimization (PSO/PID), and the genetic algorithm (GA-PID). The proposed methodology for the functioning of the vehicle cruise control system has proven to be superior to other promising methods documented in the literature, as confirmed by comparative evaluations that take into account both transient and frequency stability.