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广义系统的奇异LQ问题及最优代价单调性 被引量:1

Singular LQ problem and monotonicity of the optimal cost of descriptor systems
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摘要 研究了广义系统的奇异线性二次指标最优控制问题(即LQ问题).在给定的条件下,给出LQ问题的惟一最优控制和最优状态,并将最优控制综合为状态反馈.所得闭环系统正则,稳定,无脉冲模.并给出广义系统的最优代价比较定理. A singular linear quadratic (LQ) problem for descriptor systems is investigated. Under the conditions given, the unique optimal control and the unique optimal state of the LQ problem are given. The optimal control is synthesized as state feedback. The closed-loop system is regular, stable and impulse-free. And the comparison theorem of the optimal cost of descriptor systems is given.
作者 陈莉
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2005年第5期61-65,共5页 Journal of Shandong University(Natural Science)
基金 山东省自然科学基金资助项目(Y2004A05 Y2004A07) 国家重点基础研究发展规划项目(G1998020300) 山东省教育厅科技计划资助项目(J05P51)
关键词 广义系统 奇异线性二次指标最优控制问题(LQ问题) 状态反馈 最优代价 descriptor system singular linear quadratic (LQ) problem state feedback optimal cost
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参考文献6

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同被引文献3

  • 1Jiandong Zhu,Shuping Ma,Zhaolin Cheng.Singular LQ problem for nonregular descriptor systems[J].IEEE Transactions on Automatic Control,2002,47(7):1128~1133. 被引量:1
  • 2Harald K Wimmer.Monotonicity and maximality of solutions of discrete-time algebraic riccati equations[J].Journal of Mathematical Systems,Estimation and Control,1992,2(2):219~235. 被引量:1
  • 3Harald K Wimmer.The set of positive semidefinite solutions of the algebraic riccati equation of discrete-time optimal control[J].IEEE Transactions on Automatic Control,1996,41(5):660~671. 被引量:1

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