Bilinear System Control Using Function Approximation Technique
Date Issued
2009
Date
2009
Author(s)
Lai, Jiun-Jao
Abstract
This study presents a new adaptive controller based on function approximation technique for uncertain nonhomogeneous bilinear systems containing time-varying uncertainties with unknown bounds. For applying conventional robust strategies, we must know the variation bounds of some of the uncertainties. Moreover, due to the time-varying property of these uncertainties, traditional adaptive schemes can not be adopted. This paper solves the stabilization problem when FAT (Function Approximation Technique) is used to approximate the time-varying nonlinearity with unknown bounds of the system and results bounded error performance is generated. Meanwhile, the singularity problem of the control input can be overcome if the bound of the input gain matrix is available. The proposed approach is based on Lyapunov-like function with rigorous derivation. The computer simulation result is provided to verify the performance of the proposed method.
Subjects
Adaptive control
function approximation
bilinear system
Type
thesis
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