Input-to-state stable nonlinear filtering for a class of continuous-time delayed nonlinear systems
- Authors
- Ahn, Choon Ki
- Issue Date
- 1-6월-2013
- Publisher
- TAYLOR & FRANCIS LTD
- Keywords
- input-to-state stability (ISS); robust filtering problem; delayed nonlinear system; linear matrix inequality (LMI); LyapunovKrasovskii stability theory
- Citation
- INTERNATIONAL JOURNAL OF CONTROL, v.86, no.6, pp.1179 - 1185
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF CONTROL
- Volume
- 86
- Number
- 6
- Start Page
- 1179
- End Page
- 1185
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/102996
- DOI
- 10.1080/00207179.2013.787547
- ISSN
- 0020-7179
- Abstract
- This paper investigates the input-to-state stable (ISS) nonlinear filtering problem for a class of continuous-time delayed nonlinear systems with external disturbance. A new delay-dependent nonlinear ISS filter is established through available measurements to estimate the states of delayed nonlinear systems, such that the filtering error system is both exponentially and input-to-state stable for any bounded external disturbance. The design of the nonlinear ISS filter for these nonlinear systems is achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.
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