Properties of linear switching time-varying discrete-time systems with applications

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• 作者：Mehr ; Aryan Saadat ; Chen ; Tongwen
• 关键词：Periodic systems ; Optimization ; Discrete-time systems ; Multirate systems ; Approximation
• 刊名：Systems and Control Letters
• 出版年：2000
• 出版时间：April 7, 2000
• 年：2000
• 卷：39
• 期：4
• 页码：229-235
• 全文大小：114 K

文摘

We study two discrete-time, linear switching time-varying (LSTV) structures, each of which consists of a periodic switch connected to several linear time-invariant (LTI) systems. Such structures can be used to represent any linear periodically time-varying (LPTV) systems. We give basic properties associated with the LSTV structures in terms of their LTI building blocks, and then apply the results to solve a general approximation problem: How to optimally approximate an LPTV system with period p by an LPTV system with period ? The optimality is measured using norms. The study is extended to general multirate periodic systems.