H2-optimization of time-delayed sampled-data systems on the basis of the parametric transfer matrix method
H2-optimization of time-delayed sampled-data systems on the basis of the parametric transfer matrix method
复制标题
基于参数传递矩阵方法的时滞采样数据系统的H2优化
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
E. Rosenwasser
中科院分区：
文献类型：
--
作者：
B. Lampe;E. Rosenwasser
基于参数传递矩阵的概念，给出了多输入多输出时滞采样系统H ~ 2优化问题的一种解法。通过对真实的有理矩阵的分解和分离，给出了最优控制器的设计方法。建立了H2-最优系统的一些定性性质，这些性质对实际应用是有用的。特别地，证明了系统的连续时间元素存在一组固定极点，最优系统的性能因它们而受到限制。给出了确定固定极点集合的构造性算法。
A solution to the H2-optimization problem for multi-input-multi-output sampled-data system with delay is presented on the basis of the parametric transfer matrix concept. A procedure is developed for design of the optimal controller by means of factorization and separation of real rational matrices. Some qualitative properties of the H2-optimal system are established, which are useful for applications. In particular, it is proved that there is a set of fixing poles of continuous-time elements of the system, and performance of the optimal system is limited because of them. A constructive algorithm is given for determination of the set of fixing poles.