H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems

LIU Cen-feng; HU Gang

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H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems

更新时间：2026-05-27

- H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems
- Vol. 22, Issue 3, Pages: 34-37(2005)
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- Online First：02 July 2005，
  
  Published：2005
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刘岑枫, 胡刚. 离散不确定广义系统的H_∞保成本控制[J]. 广东工业大学学报, 2005, 22(3): 34-37.

LIU Cen-feng, HU Gang. H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems[J]. 2005, 22(3): 34-37.
刘岑枫, 胡刚. 离散不确定广义系统的H_∞保成本控制[J]. 广东工业大学学报, 2005, 22(3): 34-37. DOI：

LIU Cen-feng, HU Gang. H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems[J]. 2005, 22(3): 34-37. DOI：

摘要

研究了一类不确定性的离散广义系统的H∞保成本控制问题

基于系统参数矩阵不等式得到了问题可解的充分条件

并给出了H∞保成本控制器的设计方法.所得到的控制器保证了闭环系统正则、因果、稳定并且满足给定的H∞性能指标

对所有容许的不确定性

保成本性能指标不超过某个确定的上界.用数值示例说明了所给方法的有效性.

Abstract

The problem of H_∞ guaranteed cost control for a class of discrete-time uncertain singular systems is studied.A sufficient condition for the solvability to the problem in terms of certain matrix inequalities is obtained.Furthermore

the H_∞ guaranteed cost controller design method is given.The control law guarantees that the closed-loop systems is regular

causal

as well as stable

and satisfies a prescribed H_∞ norm constraint.The cost of the closed-loop systems is within a certain bound for all these admissible uncertainties.Finally

a numerical example is given to illustrate the design method.

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