Abstract
In this paper, stability analysis and synthesis of the type-II (Singleton-type) linguistic fuzzy control system are addressed. First, stability theorems are given for both continuous-time case and discrete-time case and they are recast in the formulation of bilinear matrix inequalities (BMIs). Continuous and discrete iterative linear matrix inequality methods are presented to obtain the feasible solution for the stability conditions represented as the BMI. The interesting feature of this paper is that the suggested method can be applied not only to the stability analysis but also to the controller synthesis. When it is applied to the synthesis of the type-II fuzzy logic controller, the resulting one can theoretically guarantee the stability of the closed-loop system. Finally, the effectiveness of the suggested method is illustrated via computer simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 379-388 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2004 Jun 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computational Theory and Mathematics
- Artificial Intelligence
- Applied Mathematics
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A new computational approach to stability analysis and synthesis of linguistic fuzzy control system. / Kim, Euntai.
In: IEEE Transactions on Fuzzy Systems, Vol. 12, No. 3, 01.06.2004, p. 379-388.Research output: Contribution to journal › Article
TY - JOUR
T1 - A new computational approach to stability analysis and synthesis of linguistic fuzzy control system
AU - Kim, Euntai
PY - 2004/6/1
Y1 - 2004/6/1
N2 - In this paper, stability analysis and synthesis of the type-II (Singleton-type) linguistic fuzzy control system are addressed. First, stability theorems are given for both continuous-time case and discrete-time case and they are recast in the formulation of bilinear matrix inequalities (BMIs). Continuous and discrete iterative linear matrix inequality methods are presented to obtain the feasible solution for the stability conditions represented as the BMI. The interesting feature of this paper is that the suggested method can be applied not only to the stability analysis but also to the controller synthesis. When it is applied to the synthesis of the type-II fuzzy logic controller, the resulting one can theoretically guarantee the stability of the closed-loop system. Finally, the effectiveness of the suggested method is illustrated via computer simulation.
AB - In this paper, stability analysis and synthesis of the type-II (Singleton-type) linguistic fuzzy control system are addressed. First, stability theorems are given for both continuous-time case and discrete-time case and they are recast in the formulation of bilinear matrix inequalities (BMIs). Continuous and discrete iterative linear matrix inequality methods are presented to obtain the feasible solution for the stability conditions represented as the BMI. The interesting feature of this paper is that the suggested method can be applied not only to the stability analysis but also to the controller synthesis. When it is applied to the synthesis of the type-II fuzzy logic controller, the resulting one can theoretically guarantee the stability of the closed-loop system. Finally, the effectiveness of the suggested method is illustrated via computer simulation.
UR - http://www.scopus.com/inward/record.url?scp=3042642138&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3042642138&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2004.825072
DO - 10.1109/TFUZZ.2004.825072
M3 - Article
AN - SCOPUS:3042642138
VL - 12
SP - 379
EP - 388
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
SN - 1063-6706
IS - 3
ER -