Intelligent Tuning of Fuzzy-\(\mathcal{L}_1\) Adaptive Controller for Uncertain Nonlinear MIMO Systems Using Multi-Objective Particle Swarm Optimization

Henry A. Akinrinde *

LNG, Canada.

Hashim A. Hashim

Carleton University, Ottawa, Ontario, Canada.

Babajide O. Ayinde

EchoNous Inc., Redmond, Washington, U.S.A.

Sami El-Ferik

Department of System Engineering, King Fahd University of Petroleum and Minerals Dhahran, 31261, Saudi Arabia.

Mohamed A. Abido

Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia.

Emmanuel O. Akande

Lagos State University, Lagos, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

This paper proposes an efficient approach for tuning feedback filter of adaptive controller for multi-input multi-output (MIMO) systems. The feedback filter provides performance that trades off fast closed loop dynamics, robustness margin, and control signal range. Thus appropriate tuning of the filter's parameters is crucial to achieve optimal performance. For MIMO systems, the parameters tuning is challenging and requires a multi-objective performance indices to avoid instability. This paper proposes a fuzzy-based feedback filter design tuned with multi-objective particle swarm optimization (MOPSO) to remove these bottlenecks. MOPSO guarantees the appropriate selection of the fuzzy membership functions. The proposed approach is validated using twin rotor MIMO system and simulation results demonstrate the efficacy of here proposed while preserving the system stabilizability.

Keywords: Fuzzy logic control, multi-objective particle swarm optimization, fuzzy- adaptive controller, pareto front, filter tuning, twin rotor MIMO system


How to Cite

Akinrinde, Henry A., Hashim A. Hashim, Babajide O. Ayinde, Sami El-Ferik, Mohamed A. Abido, and Emmanuel O. Akande. 2024. “Intelligent Tuning of Fuzzy-\(\mathcal{L}_1\) Adaptive Controller for Uncertain Nonlinear MIMO Systems Using Multi-Objective Particle Swarm Optimization”. Journal of Advances in Mathematics and Computer Science 39 (10):18-37. https://doi.org/10.9734/jamcs/2024/v39i101932.