Robust model-reference control for descriptor linear systems subject to parameter uncertainties
Guangren DUAN
Biao ZHANG
摘要:Robust model-reference control for descriptor linear systems with structural parameter uncertainties is investigated. A sufficient condition for existing a model-reference zero-error asymptotic tracking controller is given. It is shown that the robust model reference control problem can be decomposed into two subproblems: a robust state feedback stabilization problem for descriptor systems subject to parameter uncertainties and a robust compensation problem. The latter aims to find three coefficient matrices which satisfy four matrix equations and simultaneously minimize the effect of the uncertainties to the tracking error. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, the robust compensation problem is converted into a minimization problem with quadratic cost and linear constraints. A numerical example shows the effect of the proposed approach.
机标关键词:
分类号:TP3(计算技术、计算机技术)
资助基金:国家自然科学基金(69925308)
论文发表日期:2007-01-01
在线出版日期:2025-08-15(本平台首次上网日期,不代表文献的发表时间)
页数:8( 213-220 )
英文信息
