A numerical algorithm for feedback linearization of single input nonlinear systems using the CIR method and tenser product splines
SCIE
SCOPUS
- Title
- A numerical algorithm for feedback linearization of single input nonlinear systems using the CIR method and tenser product splines
- Authors
- Jang, YJ; Kim, SW
- Date Issued
- 2001-07
- Publisher
- IEICE-INST ELECTRONICS INFORMATION CO
- Abstract
- It is very difficult to obtain a linearizing feed-back and a coordinate transformation map, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form. In this paper we develop a numerical algorithm for an integrating factor involving a set of partial differential equations and corresponding zero-form using the C.I.R method. We employ a tensor product splines as an interpolation method to data which are resulted from the numerical algorithm in order to obtain an approximate integrating factor and a zero-form in closed forms. Next, we obtain a coordinate transformation map using the approximate integrating factor and zero-form. Finally, we construct a stabilizing controller based on a linearized system with the approximate coordinate transformation.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/10310
- ISSN
- 0916-8508
- Article Type
- Article
- Citation
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, vol. E84-A, no. 7, page. 1793 - 1798, 2001-07
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.