Robust H∞ control for discrete-time polytopic uncertain systems with linear fractional vertices
Shaosheng ZHOU
James Lam
Shengyuan XU
摘要：The robust H∞ control problem for discrete-time uncertain systems is investigated in this paper. The uncertain systems are modelled as a polytopic type with linear fractional uncertainty in the vertices. A new linear matrix inequality (LMI) characterization of the H∞ performance for discrete systems is given by introducing a matrix slack variable which decouples the matrix of a Lyapunov function candidate and the parametric matrices of the system. This feature enables one to derive sufficient conditions for discrete uncertain systems by using parameter-dependent Lyapunov functions with less conservativeness. Based on the result, H∞ performance analysis and controller design are carried out. A numerical example is included to demonstrate the effectiveness of the proposed results.
机标关键词：uncertain systemslinear matrix inequalitysufficient conditionsLyapunov functionscontroller designdiscrete systems
分类号：O1(数学)
论文发表日期：2004-01-01
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：7( 75-81 )
英文信息