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首页> 外文期刊>IFAC PapersOnLine >Standardizability of multivariable linear sampled-data systems with delay * * The authors acknowledge the financial supported by the Deutsche Forschungsgemeinschaft, the German Science Foundation
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Standardizability of multivariable linear sampled-data systems with delay * * The authors acknowledge the financial supported by the Deutsche Forschungsgemeinschaft, the German Science Foundation

机译：延迟 * * 作者感谢德意志银行的资助科学基金会Forschungsgemeinschaft

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摘要

Due to periodic sampling, linear sampled-data systems are a subclass of linear continuous periodic systems, even in the case, when all other elements are time invariant. Therefore, the well-established methods for LTI systems cannot be applied. Owing to the great practical importance of sampled-data control systems, various approaches for the rigorous description of those systems are known. Moreover, a lot of methods have been developed, that are able to yield rigorous solutions for numerous control and optimization problems. The application of those methods need representations in certain standard forms. Often, it is not clear, whether a given system can be transformed into a standard form or not. The paper considers this question for the standard sampled-data system with delay, for which numerous methods and tools are available, if the system belongs to the subclass with model structure. The paper provides necessary and sufficient conditions for a SD system with delay in standard structure to belong to this important subclass. The proof is given on basis of the parametric transfer matrix concept, which is at present the only one that can handle problems, where both difficulties -sampling and arbitrary time-delay - occur at the same time.
机译：由于周期性采样，即使在所有其他元素都是时不变的情况下，线性采样数据系统也是线性连续周期性系统的子类。因此，无法应用针对LTI系统的成熟方法。由于采样数据控制系统非常重要的实际意义，因此有许多严格描述这些系统的方法。而且，已经开发了许多方法，它们能够针对许多控制和优化问题提供严格的解决方案。这些方法的应用需要以某些标准形式表示。通常，不清楚是否可以将给定的系统转换为标准格式。本文针对具有延迟的标准采样数据系统考虑了这个问题，如果该系统属于模型结构的子类，则可以使用许多方法和工具。本文为具有标准结构延迟的SD系统属于该重要子类提供了充要条件。证明是根据参数传递矩阵的概念给出的，而参数传递矩阵的概念是目前唯一可以解决同时采样和任意时间延迟这两个难题的问题。

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