Abstract
In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.
| Original language | English |
|---|---|
| Pages (from-to) | 249-253 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications |
| Volume | 49 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2002 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
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Anticontrol of chaos for discrete TS fuzzy systems. / Li, Zhong; Park, Jin Bae; Joo, Young Hoon; Choi, Yoon Ho; Chen, Guanrong.
In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 49, No. 2, 01.02.2002, p. 249-253.Research output: Contribution to journal › Article
TY - JOUR
T1 - Anticontrol of chaos for discrete TS fuzzy systems
AU - Li, Zhong
AU - Park, Jin Bae
AU - Joo, Young Hoon
AU - Choi, Yoon Ho
AU - Chen, Guanrong
PY - 2002/2/1
Y1 - 2002/2/1
N2 - In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.
AB - In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.
UR - http://www.scopus.com/inward/record.url?scp=0036475790&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036475790&partnerID=8YFLogxK
U2 - 10.1109/81.983873
DO - 10.1109/81.983873
M3 - Article
VL - 49
SP - 249
EP - 253
JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
SN - 1057-7122
IS - 2
ER -