Characterization of Quasi L∞/L2 Hankel Norms of Sampled-Data Systems
SCIE
SCOPUS
- Title
- Characterization of Quasi L∞/L2 Hankel Norms of Sampled-Data Systems
- Authors
- Inai, Akira; Hagiwara, Tomomichi; KIM, JUNG HOON
- Date Issued
- 2017-07
- Publisher
- IFAC Secretariat
- Abstract
- This paper is concerned with the Hankel operator of sampled-data systems. The Hankel operator is usually defined as a mapping from the past input to the future output and its norm plays an important role in evaluating the performance of systems. Since the continuous-time mapping between the input and output is periodically time-varying (h -periodic, where h denotes the sampling period) in sampled-data systems, it matters when to take the time instant separating the past and the future when we define the Hankel operator for sampled-data systems. This paper takes an arbitrary Θ ϵ [0,h) as such an instant, and considers the quasi L∞/L2 Hankel operator defined as the mapping from the past input in L2(-∞ Θ) to the future output in L∞Θ ∞). The norm of this operator, which we call the quasi L∞/L2 Hankel norm at Θ is then characterized in such a way that its numerical computation becomes possible. Then, regarding the computation of the L∞L2 Hankel norm defined as the supremum of the quasi L∞L2 Hankel norms over Θ ϵ [0,h), some relationship is discussed between the arguments through such characterization and an alternative method developed in an earlier paper that is free from the computations of quasi L∞/L2 Hankel norms. A numerical example is studied to confirm the validity of the arguments in this paper. © 2017
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/99075
- DOI
- 10.1016/j.ifacol.2017.08.707
- ISSN
- 2405-8963
- Article Type
- Article
- Citation
- IFAC-PapersOnLine, vol. 50, no. 1, page. 3623 - 3628, 2017-07
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