Robust H∞ control for discrete-time polytopic uncertain systems with linear fractional vertices

被引:12
作者
Shaosheng Zhou
James Lam
Shengyuan Xu
机构
[1] Qufu Normal University,Institute of Automation
[2] Tsinghua University,The State Key Laboratory of Intelligent Technology and Systems
[3] University of Hong Kong,Department of Mechanical Engineering
[4] Nanjing University of Science and Technology,Department of Automation
来源
Journal of Control Theory and Applications | 2004年 / 2卷 / 1期
关键词
Discrete-time systems; H; control; Linear matrix inequality; Uncertain systems;
D O I
10.1007/s11768-004-0027-5
中图分类号
学科分类号
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.
引用
收藏
页码:75 / 81
页数:6
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