Smart structural stability and NN based intelligent control for nonlinear systems

Tim Chen, Y.C. Huang, C.C. Hung, Suzanne Frias, J.A. Muhammad and C.Y.J. Chen

Abstract

This paper has proposed an intelligent Evolutionary Bat Algorithm (afterward, EBA) Fuzzy NN (Neural Network) controller used to ensure the asymptotic simulation stability of a mathematics nonlinear system for a smart structure. The smart evolutionary fuzzy NN model adopts an NN numerical model and the linear differential inclusion (LDI) concept. Denotation of the nonlinear dynamics is constructed by transforming the nonlinear model into a multi-rule-based sector nonlinear form of mathematics linear numerical models, and implementing a new sufficient mathematics condition whereby the asymptotic simulation stability of the intelligent structure is guaranteed by the Lyapunov mathematics function, linear matrix inequality (LMI). The high frequency is also injected as an auxiliary to stabilize these nonlinear systems. According to the relaxed method injected with dithered auxiliary, the nonlinear system can be guaranteed stable by appropriately regulating the parameters. Finally, there is a numerical resultant example with simulation results which is designated in order to precisely demonstrate the advantages of the smart intelligent controller and the proposed control scheme compared to previous schemes.

Key Words

artificial intelligence; LMI; smart stability; automated design; nonlinear fuzzy control

Address

(1) Tim Chen: Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam; (2) Y.C. Huan, Suzanne Frias: Department of Earth Science, National Taiwan Normal University, Taipei, Taiwan; Center of Natural Science, Kaohsiung Municipal Fushan Junior High School, Kaohsiung, Taiwan; (3) C.C. Hung: Department of Mechanical Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan; Faculty of Electronic Engineering, Taipei Municipal Muzha Vocational High School, 77 Sec. 4 Muzha Rd. Taipei 11656, Taiwan; (4) J.A. Mu.ammad: National Physical Laboratory, New Delhi, Dr KS Krishnan Marg, Pusa, New Delhi, Delhi 110012, India; (5) C.Y.J. Chen: Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

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