Discrete-Time Control Systems Approach for Optimal Smoothing Splines
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- KANO Hiroyuki
- Division of Science, School of Science and Engineering, Tokyo Denki University
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- FUJIOKA Hiroyuki
- Division of Science, School of Science and Engineering, Tokyo Denki University
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Abstract
We consider the problem of designing optimal smoothing spline curves by employing an approach based on linear control systems. First, the problem is formulated using continuous-time, time-invariant systems with piecewise constant inputs. Then by introducing discrete time-varying systems, the solutions for optimal splines including periodic splines are derived. The existence conditions for unique optimal solutions are established and linked to the concepts of controllability and observability. The computational procedures for the optimal splines are straightforward. The design method for periodic splines is applied to a shape synthesizing problem using jellyfish as the example.
Journal
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- Transactions of the Institute of Systems, Control and Information Engineers
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Transactions of the Institute of Systems, Control and Information Engineers 21 (2), 60-68, 2008
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)
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Details 詳細情報について
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- CRID
- 1390282680141582464
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- NII Article ID
- 10022000203
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- NII Book ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL BIB ID
- 9373271
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed