Advanced Fireworks Algorithm and Its Application Research in PID Parameters Tuning

Jun-jie Xue,Hao Li,Ji-yang Xiao,Xiang-fei Meng,Ying Wang

doi:10.1155/2016/2534632

Abstract

Proportional-Integral-Derivative (PID) controller is one of the most widely used controllers for its property of simplicity and practicability. In order to design high-quality performances PID controllers, an Advanced Fireworks (AFW) algorithm based on self-adaption principle and bimodal Gaussian function is proposed, which is built to optimize the PID controller by parameters tuning. Firstly, a compound index of optimization performance is formulated, and then the extremal optimization method of PID control system is proposed. Secondly, a PID parameters tuning model combined with AFW is built. At last, 5 typical transfer functions are simulated to obtain optimal parameters by AFW and contrast tuning method, such as Ziegler-Nichols method, Enhanced Fireworks (EFW) algorithm, and Particle Swarm Optimization (PSO). Simulation results show that AFW are effective and are easily implemented methods to solve PID control problems of different transfer functions.

Highlights

It is the simplest and the most efficient control strategy to solve many real-world control problems by Proportional-Integral-Derivative (PID) control system [1]
Based on the simulation model combined with Advanced Fireworks (AFW), 5 typical transfer functions of control system were simulated to obtain optimal parameters by AFW and compared with Enhanced Fireworks (EFW) algorithm, Particle Swarm Optimization (PSO), and Genetic Algorithm (GA)
Based on PID control parameters tuned by Z-N method and optimal parameters (Kp, Ki, and Kd) with best ITAE (ITUA) performance optimized by AFW, EFW, and PSO, step response curves of PID control system on 5 typical transfer functions are drawn in Figure 4 (Figure 5), respectively

Summary

Introduction

It is the simplest and the most efficient control strategy to solve many real-world control problems by Proportional-Integral-Derivative (PID) control system [1]. Gao and Diao applied Fireworks Algorithm to digital filters design [15]. This paper focuses on PID controller parameters tuning with optimization on Advanced Fireworks (AFW) algorithm in the attempt to obtain better performance. Based on the simulation model combined with AFW, 5 typical transfer functions of control system were simulated to obtain optimal parameters by AFW and compared with Enhanced Fireworks (EFW) algorithm, Particle Swarm Optimization (PSO), and Genetic Algorithm (GA). Results show that AFWA is an effective and implemented method to solve PID control problems with different transfer functions

PID Controller and Optimization Performance Index

PID Parameters Tuning Model Based on Advanced Fireworks Algorithm

Comparison Tuning Method

Conclusion