American Review of Mathematics and Statistics

A Variable Structural Control for a Flexible Plate
Xuezhang Hou

Abstract
A variable structural control problem of a flexible thin plate formulated by partial differential equations with viscoelastic boundary conditions is studied in this paper. The problem is written in standard form of linear infinite dimensional system in an appropriate energy Hilbert space. The semi group approach of linear operators is adopted in investigating well-posedness of the closed loop system. A variable structural control for the system is proposed, and meanwhile an equivalent control method is applied to the thin plate system so that the thin plate can be exponentially stable and the actual sliding mode can be approximated by ideal sliding mode in any accuracy in terms of semi group approach.

Full Text: PDF     DOI: 10.15640/arms.v6n2a1