Spectral factorization for multiple input delayed discrete-time systems with applications to control
Spectral factorization for multiple input delayed discrete-time systems with applications to control
复制标题
具有控制应用的多输入延迟离散时间系统的谱分解
DOI：
10.1007/s12555-010-0320-7
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Xiaohong Lu
中科院分区：
文献类型：
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作者：
Hongguo Zhao;Huanshui Zhang;Peng Cui;Xiaohong Lu
本文研究线性离散时滞系统的线性二次型调节问题。将最优控制律的设计问题转化为求解一个丢番图方程和一个时滞谱分解问题。基于重组新息分析，提出了一种新的简单的谱分解方法。谱因子的计算归结为求解与原系统维度相同的l+1黎卡提方程。
This paper deals with the linear quadratic regulation problems for the linear discrete-time systems withlinput delays. The design of the optimal control law is transformed into solving one Diophantine equation and one spectral factorization with delays. A new and simple approach for the spectral factorization is proposed based on reorganized innovation analysis. The calculation of spectral factor comes down to solvingl+ 1 Riccati equations with the same dimension as the original systems.