Title: A multi-objective criterion and stability analysis for neural adaptive control of nonlinear MIMO systems: an experimental validation

Authors: Asma Atig; Fabrice Druaux; Dimitri Lefebvre; Ridha Ben Abdennour

Addresses: Tabuk University, King Faisal Road, Tabuk-47512, KSA; Laboratory 'Numerical Control of Industrial Processes', National School of Engineers of Gabes, University of Gabes, Rue Omar Ibn Khattab, 6029, Gabes, Tunisia ' Electric and Automatic Engineering Research Group (GREAH), Le Havre University, 75, Rue Bellot – 76058 Le Havre cedex, France ' Electric and Automatic Engineering Research Group (GREAH), Le Havre University, 75, Rue Bellot – 76058 Le Havre cedex, France ' Laboratory 'Numerical Control of Industrial Processes', National School of Engineers of Gabes, University of Gabes, Rue Omar Ibn Khattab, 6029, Gabes, Tunisia

Abstract: This paper presents a multi-objective indirect neural adaptive control design for nonlinear square multi-variable systems with unknown dynamics. The control scheme is made of an adaptive instantaneous neural emulator, a neural controller based on fully connected real-time recurrent learning (RTRL) networks and an online parameter updating law. A multi-objective criterion that takes into account the minimisation of the control energy is considered. The contribution of this paper is to develop a new controller parameter optimisation based on the Lyapunov stability analysis while ensuring control issues with environmental and economical objectives. Performance of the proposed approach in terms of regulation, tracking and minimisation of the control energy is evaluated by numerical simulations of a disturbed nonlinear multi-variable system. The obtained control scheme is then applied in real time to a disturbed MIMO thermal process.

Keywords: multi-objective approach; adaptive control; stability analysis; recurrent neural networks; nonlinear systems; MIMO processes.

DOI: 10.1504/IJAAC.2022.122602

International Journal of Automation and Control, 2022 Vol.16 No.3/4, pp.433 - 458

Received: 06 Mar 2020
Accepted: 26 Jul 2020
Published online: 04 May 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article