Adaptive Approximation-Based Feedback Linearization Control for a Nonlinear Smart Thin Plate

This paper proposes feedback linearization control (FBLC) based on function approximation technique (FAT) to regulate the vibrational motion of a smart thin plate considering effect axial stretching. The FBLC includes designing nonlinear law for stabilization target dynamic system while closedloop dynamics are linear with ensured stability. objective FAT is estimate cubic restoring force vector using parameterization weighting and orthogonal basis matrices. Orthogonal Chebyshev polynomials used as strong approximators adaptive schemes. proposed architecture applied large deflection that stimulates loading thus, behaving nonlinearly. governing partial differential equation piezo-plate transformed into definite ordinary equations (ODEs) Galerkin approach; hence, multi-input multi-output ODEs obtained. Simulation experiments performed verify validity structure.