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LINEAR QUADRATIC REGULATION FOR DISCRETE-TIME SYSTEMS WITH INPUT DELAY： SPECTRAL FACTORIZATION APPROACH
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 时间：0
  • 分类：O15[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Control Science and Engineering, Shandong University, Jinan 250061, China., [2]Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen University Town Xili, Shenzhen 518055 China., [3]Chenghui ZHANG School of Control Science and Engineering, Shandong University, Jinan 250061, China.
  • 相关基金：The research is supported by the National Natural Science Foundation of China under Grant No. 60574016.
作者： Hongguo ZHAO[1], Huanshui ZHANG[1], Hongxia WANG[2], Chenghui ZHANG[3]
关键词： 线型二次方程, 离散时间系统, 光谱, 因数分解, Diophantine equation, infinite-horizon LQR, reorganized innovation, spectral factorization, stochastic backwards systems.
中文摘要：

无限地平线的线性二次的规定(LQR ) 问题被满足于有输入延期的分离时间的系统。在一辆汽车的帮助下回归的移动一般水准(ARMA ) 革新模型，内在的问题的答案被获得。最佳的控制法律的设计在解决一个多项式方程包含；一个光谱因式分解。后者是现在的问题的主要障碍，；重新组织的革新途径被用来清除它起来。计算光谱因式分解最后下来到与象原来的系统的一样的尺寸解决二个 Riccati 方程。

英文摘要：

The infinite-horizon linear quadratic regulation （LQR） problem is settled for discretetime systems with input delay. With the help of an autoregressive moving average （ARMA） innovation model, solutions to the underlying problem are obtained. The design of the optimal control law involves in resolving one polynomial equation and one spectral factorization. The latter is the major obstacle of the present problem, and the reorganized innovation approach is used to clear it up. The calculation of spectral factorization finally comes down to solving two Riccati equations with the same dimension as the original systems.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125