Adaptive control design using stability analysis and tracking errors dynamics for nonlinear square MIMO systems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Adaptive control design using stability analysis and tracking errors dynamics for nonlinear square MIMO systems

Authors:	Asma Atig Fabrice Druaux Dimitri Lefebvre Kamel Abderrahim Ridha Ben Abdennour

Affiliation:	1. GREAH, Université du Havre, 25 rue Philippe Lebon, 76063 Le Havre, France;2. CONPRI, Université du Gabès, Ecole Nationale d''ingénieurs de Gabès (ENIG), Rue Omar Ibn Khattab, 6029, Gabès, Tunisia;1. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea;2. School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, Jiangsu 221116, PR China;3. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, Zhejiang 310027, PR China;4. School of Mathematics and Physics, Xuzhou Institute of Technology, Xuzhou, Jiangsu 221000, PR China;1. College of Internet of Things Engineering, Hohai University, Changzhou 213022, China;2. Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Changzhou 213022, China;1. Department of Economics, University of Rochester, Rochester, NY, 14627, United States;2. Monetary and Financial Market Analysis Section, Division of Monetary Affairs, Board of Governors of the Federal Reserve System, Mail Stop 165, 20th Street and Constitution Avenue, Washington, DC 20551, United States

Abstract:	This paper investigates adaptive control design for nonlinear square MIMO systems. The control scheme is based on recurrent neural networks emulator and controller with decoupled adaptive rates. Networks' parameters are updated according to an autonomous algorithm inspired from the Real Time Recurrent Learning (RTRL). The contributions of this paper are the determination of Lyapunov sufficient stability conditions for decoupled adaptive rates of the emulator and controller and the development of new adaptation strategies based on the tracking error dynamics and Lyapunov stability analysis to improve the closed loop performances. Efficiency of the proposed controller is illustrated with nonlinear system simulations. An application of the developed approaches to a hot-air blower is presented in order to validate simulations results.

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