H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 94-103 |
Journal / Publication | IEEE Transactions on Fuzzy Systems |
Volume | 13 |
Issue number | 1 |
Publication status | Published - Feb 2005 |
Link(s)
Abstract
This paper presents an H∞ controller design method for fuzzy dynamic systems based on techniques of piecewise smooth Lyapunov functions and bilinear matrix inequalities. It is shown that a piecewise continuous Lyapunov function can be used to establish the global stability with H∞ performance of the resulting closed-loop fuzzy control systems and the control laws can be obtained by solving a set of bilinear matrix inequalities (BMIs). Two examples are given to illustrate the application of the proposed methods. © 2005 IEEE.
Research Area(s)
- Bilinear matrix inequality (BMI), Controller design, Fuzzy systems, H∞ control, Piecewise Lyapunov functions
Citation Format(s)
H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities. / Feng, Gang; Chen, Cai-Lian; Sun, Dong et al.
In: IEEE Transactions on Fuzzy Systems, Vol. 13, No. 1, 02.2005, p. 94-103.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review