Method for computing state transformations of time-delay systems

作者：Dinh Cong Huong; Hieu Trinh^*

来源：IET Control Theory and Applications, 2015, 9(16): 2405-2413.

DOI：10.1049/iet-cta.2015.0108

• delays
• observers
• vectors
• state vector
• Luenberger-type state observer
• coordinate system
• systematic method
• time-delay systems
• computing state transformations

This study provides a systematic method for deriving state transformations of a class of time-delay systems with multiple output. The significance of this study is that such state transformations can be used to transform time-delay systems into new coordinates where all the time-delay terms in the system description are associated with the output and input only. Therefore, in the new coordinate system, a Luenberger-type state observer can be readily designed. Subsequently, of the three possible versions of the original state vector, namely, instantaneous, delayed, and a mixed of instantaneous and delayed, a state observer which estimates one of these versions can be obtained. This new finding allows the authors to design state observers for a wider class of time-delay systems. Conditions for the existence of such coordinate changes and an effective algorithm for computing them are provided in this study. A numerical example and simulation results are given to illustrate the simplicity and effectiveness of the proposed method.

• 出版日期2015-10-29