A. D. Muradova, G. E. Stavroulakis .(2011,Jul.) .Fuzzy control of a smart elastic plate .Presented at 7th GRACM International Congress on Computational Mechanics.[online].Available:http://www.7gracm.ntua.gr/texts/7gracmboa.pdf#page=86
A dynamic problem of vibrations of a smart plate with active control is considered. The mathematical model is a dynamic linear partial differential equation of hyperbolic type. It describes deflections of a thin elastic rectangular plate which is subjected to external disturbance forces and generalized control forces, produced for instance by electromechanical coupling effects. A nonlinear controller has been designed, based on fuzzy inference. The initial and boundary conditions are set up for the equation. The initial-boundary value problem is spatially discretized by means of the time-dependent Fourier spectral method. The direct numerical integration technique, namely, the implicit Newmark-beta method, is employed for the numerical solution of the problem. The method has been implemented within MATLAB and the Fuzzy Logic Toolbox has been used for the realization of the fuzzy controller.