离散不确定广义系统的H_∞保成本控制

广东工业大学学报 ›› 2005, Vol. 22 ›› Issue (3): 34-37.

离散不确定广义系统的H_∞保成本控制

暨南大学华文学院；广东工业大学自动化学院广东广州510610；广东广州510090；

出版日期:2005-07-02 发布日期:2005-07-02
基金资助:
广东省自然科学基金项目(020163)

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

(1.Faculty of Chinese Language and Culture,Jinan University,Guangzhou 510610,China;2.Faculty of Automation,Guangdong University of Technology,Guangzhou 510090,China)

Online:2005-07-02 Published:2005-07-02

摘要/Abstract

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.

关键词: 离散广义系统；保成本控制；不确定性；

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.

Key words: discrete singular systems； guaranteed cost control； uncertainties；

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~1,HU Gang~2 . H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems[J]. Journal of Guangdong University of Technology, 2005, 22(3): 34-37.

参考文献

[1] Fang C,Lee L,Chang F.Robust control analysis and design for discrete-time singular systems. Automatica . 1994

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