Adaptive Neuro-Fuzzy vibration control of a smart plate

In the present paper, the vibration supression of a smart plate with the use of ANFIS (Adaptive Neuro-Fuzzy Inference System) is investigated. The whole system consists of a nonlinear mechanical model, which is an extension of the von Karman plate model with control. The structure is subjected to external disturbances and generalized control forces. Initial and boundary conditions are set up. The initial boundary value problem is spatially-discretized by a time spectral method. The obtained discretized model is a system of nonlinear ordinary differential equations (ODEs) with respect to time. A neuro-fuzzy inference system is built and tested in order to create a nonlinear controller for the vibration supression of the plate. More specifically, a Sugeno-type fuzzy inference system is employed and trained through ANFIS. The inputs of the controller are the displacement and the velocity and the output is the control force. An effective optimization procedure is proposed and numerical results are presented.

[1]  J. Reddy.  Theory and Analysis of Elastic Plates and Shells , 2006 .

[2]  Philippe Destuynder,et al.  Mathematical Analysis of Thin Plate Models , 1996 .

[3]  Mansour Rafeeyan,et al.  Active Vibration Control of an FGM Rectangular Plate using Fuzzy Logic Controllers , 2011 .

[4]  Aliki D. Muradova,et al.  Hybrid control of vibrations of a smart von Kármán plate , 2015 .

[5]  Aliki D. Muradova,et al.  Fuzzy Vibration Control of a Smart Plate , 2013 .

[6]  Sinan Korkmaz,et al.  Review: A review of active structural control: challenges for engineering informatics , 2011 .

[7]  A. Isidori.  Nonlinear Control Systems , 1985 .

[8]  Georgios E. Stavroulakis,et al.  Classical and soft robust active control of smart beams , 2009 .

[9]  Nicholas Fisco,et al.  Smart structures: Part II — Hybrid control systems and control strategies , 2011 .

[10]  Dr. Hans Hellendoorn,et al.  An Introduction to Fuzzy Control , 1996, Springer Berlin Heidelberg.

[11]  Radu-Emil Precup,et al.  A survey on industrial applications of fuzzy control , 2011, Comput. Ind..

[12]  Intan Z. Mat Darus,et al.  Self-learning active vibration control of a flexible plate structure with piezoelectric actuator , 2010, Simul. Model. Pract. Theory.

[13]  Georgios E. Stavroulakis,et al.  Effectiveness of optimized fuzzy controllers on partially delaminated piezocomposites , 2017 .

[14]  A. Preumont.  Vibration Control of Active Structures , 1997 .

[15]  Farshad Khorrami,et al.  An adaptive control scheme based on fuzzy logic and its application to smart structures , 1994 .

[16]  Qiu Yang,et al.  Active control of vibration using a fuzzy control method , 2004 .

[17]  P. G. Ciarlet,et al.  Les équations de Von Kármán , 1980 .

[18]  A. Muradova.  A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate , 2015 .