H2 guaranteed cost control for uncertain discrete-time systems under state and control constraints

被引：0

作者：

de Araujo, HX ^{[1
]}

Queinnec, L ^{[1
]}

Tarbouriech, S ^{[1
]}

机构：

[1] CNRS, LAAS, F-31077 Toulouse 4, France

来源：

PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 1997年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the H-2 guaranteed cost control problem for uncertain discrete-time linear systems subject to both polyhedral state and control constraints. The convex-bounded parametric uncertainties are studied. Based on the theory of ellipsoidal positively invariant sets, a sufficient condition is obtained for determining a quadratic stabilizing state-feedback gain and an H-2-norm upper bound which hold for all feasible models. A programming approach is proposed which solves at each step a convex optimization problem involving linear matrix inequalities (LMI's).

引用

页码：345 / 350

页数：6