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一类不确定离散广义系统的鲁棒H_2控制 被引量:2

Robust H_2 Control for Uncertain Discrete-Time Descriptor Systems
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摘要 研究一类不确定离散广义系统的鲁棒H2优化控制问题·对系统所有容许的不确定参数,提出满足鲁棒H2性能的一个充分条件,目的是设计状态反馈控制律,保证闭环系统是容许的且满足鲁棒H2性能·得到该问题可解的一个矩阵不等式的充分条件并给出一个控制律的设计·数值例子进一步说明本文的主要结果· The robust H2 optimal control problems for uncertain discretetime descriptor systems were studied. A sufficient condition was presented for the systems to satisfy the robust H2 performance for all admissible uncertainties. The condition can be used to design state feedback controllers, and the resulting closedloop system is admissible and satisfies the robust H2 performance. A sufficient condition of matrices inequalities was obtained and a state feedback controller was designed. A numerical example was given to illustrate the results. 
出处 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2003年第1期42-45,共4页 Journal of Northeastern University(Natural Science)
基金 辽宁省教育科学基金资助项目(991121118) 教育部高等学校骨干教师资助计划资助项目.
关键词 不确定离散广义系统 H2范数 H2控制 优化控制 矩阵不等式 鲁棒控制 discrete-time descriptor system robust H_2 norm H_2 control optimal control matrices inequality
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参考文献9

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二级参考文献1

共引文献3

同被引文献10

  • 1Dai L.Singular Control Systems[M].Berlin:Springer-Verlag,1989:231-259.
  • 2XU Sheng-yuan,YANG Cheng-wu.Stabilization of Discrete-Time Singular Systems:A Matrix Inequalities Approach[J].Automatica,1999,35(9):1613-1617.
  • 3YANG Dong-mei,ZHANG Qing-ling,YAO Bo,et al.H2 Performance Analysis and Control for Discrete-Time DescriptorSystems[C]//Proceedings of 4th World Congress on Intelligent Control and Automation.Shanghai:East China Universi-ty of Sci&Tech Press,2002:3039-3043.
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  • 7王惠姣,薛安克,鲁仁全,徐哲,王建中.参数不确定离散奇异系统的鲁棒H_∞控制[J].自动化学报,2007,33(12):1300-1305. 被引量:9
  • 8俞立,陈国定,潘海天.不确定离散时间系统的H_2/H_∞最优保性能控制[J].控制与决策,2001,16(2):151-154. 被引量:10
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  • 10杨冬梅,张庆灵,沙成满.基于LMI的广义系统混合H_2/H_∞优化控制[J].控制与决策,2003,18(3):320-323. 被引量:10

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