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http://hdl.handle.net/10397/1425
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| Title: | LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form |
| Authors: | Lam, H. K. Leung, Frank H. F. |
| Subjects: | Lyapunov functions Mathematical models Nonlinear systems Numerical methods System stability |
| Issue Date: | 2006 |
| Publisher: | IEEE |
| Citation: | 2006 IEEE International Conference on Fuzzy Systems : Vancouver, BC, Canada, July 16-21, 2006, p. 2020-2026. |
| Abstract: | This paper presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. A nonlinear controller will be proposed to stabilize the nonlinear systems in Takagi-Sugeno's form. LMI-based stability conditions will be derived the parameter-dependent Lyapunov function to guarantee the system stability. Furthermore, based on the commonly-used performance index, LMI-based performance conditions will be derived to achieve the system performance. A numerical example will be given to illustrate the effectiveness of the proposed approach. |
| Rights: | © 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| Type: | Conference Paper |
| URI: | http://hdl.handle.net/10397/1425 |
| ISBN: | 0-7803-9489-5 |
| Appears in Collections: | EIE Conference Papers & Presentations
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