Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems

This paper explores the tuning of the Sigmoid Proportional-Integral-Derivative (SPID) controller using variations of the Smoothed Functional Algorithm (SFA) for the underactuated Multiple-Input Multiple-Output (MIMO) twin-rotor system. The SPID controller, incorporating a sigmoid function, extends t...

Full description

Bibliographic Details
Main Authors: Mok, Ren Hao, Mohd Ashraf, Ahmad
Format: Conference or Workshop Item
Language:English
Published: Springer 2024
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/44018/
http://umpir.ump.edu.my/id/eprint/44018/1/Performance%20evaluation%20of%20smoothed%20functional%20algorithm.pdf
_version_ 1848827011286433792
author Mok, Ren Hao
Mohd Ashraf, Ahmad
author_facet Mok, Ren Hao
Mohd Ashraf, Ahmad
author_sort Mok, Ren Hao
building UMP Institutional Repository
collection Online Access
description This paper explores the tuning of the Sigmoid Proportional-Integral-Derivative (SPID) controller using variations of the Smoothed Functional Algorithm (SFA) for the underactuated Multiple-Input Multiple-Output (MIMO) twin-rotor system. The SPID controller, incorporating a sigmoid function, extends the applicability of traditional PID controllers to complex, non-linear systems. However, SPID tuning presents challenges due to the added control parameters and the inherent non-linearity of the sigmoid function. To effectively tune the SPID controller, SFA is recommended, which stochastically optimizes the parameter space without requiring an explicit mathematical model. However, the standard SFA suffers from unstable convergence issues, necessitating modified approaches such as the Norm-Limited SFA (NLSFA) and Memory-Based SFA (MSFA). NLSFA constrains gradient approximation within boundaries, preventing excessively large approximations that lead to divergence but at the cost of an additional optimization parameter. The MSFA introduces a memory function to consider optimal solutions from previous iterations, promoting continuous convergence. The effectiveness of these SFA variations in optimizing SPID controllers for a MIMO twin-rotor system is compared, offering insights into the control and optimization of complex non-linear systems.
first_indexed 2025-11-15T03:53:56Z
format Conference or Workshop Item
id ump-44018
institution Universiti Malaysia Pahang
institution_category Local University
language English
last_indexed 2025-11-15T03:53:56Z
publishDate 2024
publisher Springer
recordtype eprints
repository_type Digital Repository
spelling ump-440182025-03-10T01:29:56Z http://umpir.ump.edu.my/id/eprint/44018/ Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems Mok, Ren Hao Mohd Ashraf, Ahmad TK Electrical engineering. Electronics Nuclear engineering This paper explores the tuning of the Sigmoid Proportional-Integral-Derivative (SPID) controller using variations of the Smoothed Functional Algorithm (SFA) for the underactuated Multiple-Input Multiple-Output (MIMO) twin-rotor system. The SPID controller, incorporating a sigmoid function, extends the applicability of traditional PID controllers to complex, non-linear systems. However, SPID tuning presents challenges due to the added control parameters and the inherent non-linearity of the sigmoid function. To effectively tune the SPID controller, SFA is recommended, which stochastically optimizes the parameter space without requiring an explicit mathematical model. However, the standard SFA suffers from unstable convergence issues, necessitating modified approaches such as the Norm-Limited SFA (NLSFA) and Memory-Based SFA (MSFA). NLSFA constrains gradient approximation within boundaries, preventing excessively large approximations that lead to divergence but at the cost of an additional optimization parameter. The MSFA introduces a memory function to consider optimal solutions from previous iterations, promoting continuous convergence. The effectiveness of these SFA variations in optimizing SPID controllers for a MIMO twin-rotor system is compared, offering insights into the control and optimization of complex non-linear systems. Springer 2024-10-02 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/44018/1/Performance%20evaluation%20of%20smoothed%20functional%20algorithm.pdf Mok, Ren Hao and Mohd Ashraf, Ahmad (2024) Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems. In: Proceedings of the 7th International Conference on Electrical, Control and Computer Engineering–Volume 1. Lecture Notes in Electrical Engineering; 7th International Conference on Electrical, Control and Computer Engineering (InECCE 2023) , 22 August 2023 , Kuala Lumpur. pp. 411-431., 1212. ISSN 1876-1100 ISBN 978-981-97-3847-2 (Published) https://doi.org/10.1007/978-981-97-3847-2_35
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Mok, Ren Hao
Mohd Ashraf, Ahmad
Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title_full Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title_fullStr Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title_full_unstemmed Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title_short Performance evaluation of smoothed functional algorithm based methods for sigmoid-PID control optimization in MIMO twin-rotor systems
title_sort performance evaluation of smoothed functional algorithm based methods for sigmoid-pid control optimization in mimo twin-rotor systems
topic TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/44018/
http://umpir.ump.edu.my/id/eprint/44018/
http://umpir.ump.edu.my/id/eprint/44018/1/Performance%20evaluation%20of%20smoothed%20functional%20algorithm.pdf