Abstract
This paper investigates the problem of H<inf>∞</inf> filter design for a class of nonlinear systems. Attention is focused on solving the H<inf>∞</inf> fuzzy filter designed problem for interval type-2 (IT2) fuzzy systems. By using Lyapunov stability theory, an IT2 filter is designed such that the filtering error system is asymptotically stable with the prescribed H<inf>∞</inf> performance levels. The existence condition of the IT2 filter is expressed as the convex optimization problem and the filter parameters in the condition can be solved by the standard software. It is not requited that the IT2 fuzzy model and IT2 fuzzy filter share the same lower and upper membership functions. Finally, a numerical example is provided to show the effectiveness of the proposed results.
Original language | English |
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Title of host publication | Proceedings of the World Congress on Intelligent Control and Automation (WCICA) |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 238-241 |
Number of pages | 4 |
Volume | 2015-March |
Edition | March |
DOIs | |
Publication status | Published - 2 Mar 2015 |
Event | 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China Duration: 29 Jun 2014 → 4 Jul 2014 |
Conference
Conference | 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 |
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Country/Territory | China |
City | Shenyang |
Period | 29/06/2014 → 4/07/2014 |
Keywords
- Filter design
- H<inf>∞</inf> performance
- Interval type-2 fuzzy systems
- Stability