Table 1 Recent studies on control and optimization of vehicle suspension systems.

From: Comparative optimization of PIDN and fractional order controllers for a quarter car active suspension system using recent metaheuristic algorithms

Year

Degree of freedom (DOF) and model

Controller type

Algorithm

Objective function

References

2018

2-DOF QCM

FLC and PID

GA

e(t)

20

2019

2-DOF QCM

Modal Control

MMO

FRF

16

2020

2-DOF QCM

Event-Triggered H

Lyapunov Function and LMI

e(t)

26

2021

3-DOF QCM

µ-Sentez

DGK Iterative Method

e(t)

27

2021

2-DOF QCM

Fuzzy-PI

Manuel

e(t)

28

2021

2-DOF QCM

SMC, Skyhook, Ground hook and PID

PSO

ITSE, ITAE, ISE

22

2022

2-DOF QCM

PID

GA

ITAE, ITSE, IAE, ISE

29

2022

2-DOF QCM

FLC, PI and Fuzzy-PI

PSO

RMS Performance Index

30

2022

2-DOF QCM

LDFC, PID

TRM

IST2E

32

2022

2-DOF QCM

NN Adaptive OFC

RL and ADP

HJB cost function

32

2022

2-DOF QCM

VFRC, LQR, SOF

NMSA

RMS Performance Index

33

2022

2-DOF QCM

LQR and SOF

CMA-ES

ISE based cost function

19

2022

2-DOF QCM

LQR

ACO

IAE

21

2022

2-DOF QCM

FLC

NSGA‑II

RMS Performance Index

15

2022

2-DOF QCM

Fuzzy Adaptive PID

PSO

IAE

23

2022

2-DOF QCM

AFTC

LMI

RMSE

34

2023

2-DOF QCM

PID

GWO

e(t)

35

2023

2-DOF QCM

DRL

PPO

LQ Cost Function

36

2023

2-DOF QCM

LQR

PSO-GA

LQR Cost Function

37

2023

2-DOF QCM

LQR

BA and GWO

ISE

17

2023

2-DOF QCM

LQR, FLC, FLC-LQR

PSO

ITAE

38

2024

2-DOF QCM

PID

DO

MAE, MSE, RMSE

39

2024

2-DOF QCM

PID

WO

MAE, MSE, RMSE

14

2024

2-DOF QCM

Fuzzy PID

GWO

IAE

24