A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
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DOI：
10.1109/9.126576
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发表时间：
1992-04
影响因子：
6.8
通讯作者：
Bassam Bamieh;J. Pearson
中科院分区：
文献类型：
--
作者：
Bassam Bamieh;J. Pearson
作者提出了一个处理连续时间周期系统的框架。主要工具是提升技术，它提供了一个强大的连续时间周期系统和某些类型的离散时间时不变系统与无限维输入和输出空间之间的对应关系。尽管输入和输出空间是无限维的，但如果原系统是有限维的，则提升系统具有有限维的状态空间。这一事实允许相当建设性的方法来分析这些系统。为了证明这个框架的实用性，作者用它来描述连续时间（即，intersample）行为的采样数据系统，并获得一个完整的解决方案的问题的参数化所有控制器，约束的L/sup 2/-诱导范数的采样数据系统在一定的范围内。>
The authors present a framework for dealing with continuous-time periodic systems. The main tool is a lifting technique which provides a strong correspondence between continuous-time periodic systems and certain types of discrete-time time-invariant systems with infinite-dimensional input and output spaces. Despite the infinite dimensionality of the input and output spaces, a lifted system has a finite-dimensional state space if the original system does. This fact permits rather constructive methods for analyzing these systems. As a demonstration of the utility of this framework, the authors use it to describe the continuous-time (i.e., intersample) behavior of sampled-data systems, and to obtain a complete solution to the problem of parameterizing all controllers that constrain the L/sup 2/-induced norm of a sampled-data system to within a certain bound. >