Abstract
Controlling of chaos is an interesting research topic while employing of deterministic chaos for controlling is more interesting. This chapter focuses on employing and utilizing of inherent chaotic features in a nonlinear dynamical system in a useful manner. When it comes to employing deterministic chaos, there are tremendous advantages such as low-energy consumption, robustness of the controller performance, information security, and simplicity of employing chaos whenever it has chaotic attractive features in the original systems itself. If the original system does not have chaotic properties, deterministic chaos will be introduced to the system. Keeping these objectives, the control algorithm is constructed in order to control nonlinear systems, which exhibit chaotic behavior. We introduce two phases of control: First phase uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Fuzzy model based controller is employed under state feedback control in the second phase of control. The Henon map and the three-dimensional Lorenz attractor, which have chaotic attractive features in their original systems, are taken into consideration so as to utilize the benefits of chaos. Then, a two-link manipulator is considered to illustrate the design procedure with employing deterministic chaos. Simulation results show the effectiveness of the proposed controller.
| Original language | English |
|---|---|
| Title of host publication | Studies in Fuzziness and Soft Computing |
| Pages | 481-506 |
| Number of pages | 26 |
| Volume | 187 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
Publication series
| Name | Studies in Fuzziness and Soft Computing |
|---|---|
| Volume | 187 |
| ISSN (Print) | 14349922 |
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ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Computational Mathematics
Cite this
Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. / Watanabe, Keigo; Udawatta, Lanka; Izumi, Kiyotaka.
Studies in Fuzziness and Soft Computing. Vol. 187 2006. p. 481-506 (Studies in Fuzziness and Soft Computing; Vol. 187).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems
AU - Watanabe, Keigo
AU - Udawatta, Lanka
AU - Izumi, Kiyotaka
PY - 2006
Y1 - 2006
N2 - Controlling of chaos is an interesting research topic while employing of deterministic chaos for controlling is more interesting. This chapter focuses on employing and utilizing of inherent chaotic features in a nonlinear dynamical system in a useful manner. When it comes to employing deterministic chaos, there are tremendous advantages such as low-energy consumption, robustness of the controller performance, information security, and simplicity of employing chaos whenever it has chaotic attractive features in the original systems itself. If the original system does not have chaotic properties, deterministic chaos will be introduced to the system. Keeping these objectives, the control algorithm is constructed in order to control nonlinear systems, which exhibit chaotic behavior. We introduce two phases of control: First phase uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Fuzzy model based controller is employed under state feedback control in the second phase of control. The Henon map and the three-dimensional Lorenz attractor, which have chaotic attractive features in their original systems, are taken into consideration so as to utilize the benefits of chaos. Then, a two-link manipulator is considered to illustrate the design procedure with employing deterministic chaos. Simulation results show the effectiveness of the proposed controller.
AB - Controlling of chaos is an interesting research topic while employing of deterministic chaos for controlling is more interesting. This chapter focuses on employing and utilizing of inherent chaotic features in a nonlinear dynamical system in a useful manner. When it comes to employing deterministic chaos, there are tremendous advantages such as low-energy consumption, robustness of the controller performance, information security, and simplicity of employing chaos whenever it has chaotic attractive features in the original systems itself. If the original system does not have chaotic properties, deterministic chaos will be introduced to the system. Keeping these objectives, the control algorithm is constructed in order to control nonlinear systems, which exhibit chaotic behavior. We introduce two phases of control: First phase uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Fuzzy model based controller is employed under state feedback control in the second phase of control. The Henon map and the three-dimensional Lorenz attractor, which have chaotic attractive features in their original systems, are taken into consideration so as to utilize the benefits of chaos. Then, a two-link manipulator is considered to illustrate the design procedure with employing deterministic chaos. Simulation results show the effectiveness of the proposed controller.
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UR - http://www.scopus.com/inward/citedby.url?scp=33845276934&partnerID=8YFLogxK
U2 - 10.1007/11353379_17
DO - 10.1007/11353379_17
M3 - Chapter
AN - SCOPUS:33845276934
SN - 3540268995
SN - 9783540268994
VL - 187
T3 - Studies in Fuzziness and Soft Computing
SP - 481
EP - 506
BT - Studies in Fuzziness and Soft Computing
ER -