The proportional parallel distributed compensation (PPDC) approach is utilized to stabilize timedelay systems modeled by Takagi-Sugeno fuzzy models in this article. Based on the Lyapunov stability analysis, stability conditions concerning asymptotical stability of time-delay systems are established.
A new approach for stabilizing a TS model fuzzy system
β Scribed by D. H. Lin; M. J. Er
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 138 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0884-8173
- DOI
- 10.1002/int.1062
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β¦ Synopsis
This paper presents a new approach to stabilizing a Takagi-Sugeno (TS) fuzzy model. A new controller design called proportional parallel distributed compensation (PPDC) is proposed. Different from other works, PPDC parameters are proportioned, which result in dramatic reduction in control parameters. In our new design, based on the Lyapunov stability analysis, the solution of finding the common positive definite matrix P is simplified and proportional coefficients design can be separated from feedback matrix parameters. Numerical simulation results show that the PPDC's performance is superior to that of PDC. This new approach has promising potential in practical applications of fuzzy systems.
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