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A new representation of the parameters of lifted systems

机译:提升系统参数的新表示

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摘要

Lifting, i.e., discretization with built-in intersample behavior, is an emerging technique for the analysis and design of sampled-data systems. The applicability of the lifting technique, however, is severely limited owing to difficulties in dealing with the parameters of the lifted systems, which are operators over infinite-dimensional spaces rather than finite-dimensional matrices. In this paper, a new representation for the parameters of the lifted systems is proposed. The technical machinery developed in the paper based on this representation simplifies considerably algebraic manipulation over parameters of the lifted systems, thus extending the scope of applicability of the lifting technique. To illustrate the advantages of the proposed approach, the computational issues in the sampled-data H/sup /spl infin// problem are considered.
机译:提升(即具有内置样本间行为的离散化)是一种用于分析和设计采样数据系统的新兴技术。然而,由于难以处理提升系统的参数,提升技术的适用性受到严格限制,提升系统的参数是无限维空间而不是有限维矩阵的算子。本文提出了一种新的提升系统参数的表示方法。本文基于这种表示形式开发的技术机制大大简化了对提升系统参数的代数运算,从而扩展了提升技术的适用范围。为了说明所提出方法的优点,考虑了采样数据H / sup / spl infin //问题中的计算问题。

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