Title :
A new theory of fuzzy chaos and its application for simulation and control of robotic dynamic systems
Author :
Castillo, Oscar ; Melin, Patricia
Author_Institution :
Comput. Sci. Dept., Tijuana Inst. of Technol., Chula Vista, CA, USA
fDate :
6/23/1905 12:00:00 AM
Abstract :
We describe a new theory of chaos using fuzzy logic techniques. Chaotic behavior in nonlinear dynamical systems is very difficult to detect and control. Part of the problem is that mathematical results for chaos are difficult to use in many cases, and even if one could use them, there is an underlying uncertainty in the accuracy of the numerical simulations of the dynamical systems. For this reason, we can model the uncertainty of detecting the range of values where chaos occurs, using fuzzy set theory. Using fuzzy sets, we can build a new theory of fuzzy chaos, where we can use fuzzy sets to describe the behaviors of a system. We apply this new theory of fuzzy chaos to the case of simulation and control of robotic dynamic systems
Keywords :
chaos; control system analysis; fuzzy control; fuzzy logic; fuzzy set theory; nonlinear control systems; nonlinear dynamical systems; numerical analysis; robot dynamics; chaotic behavior; fuzzy chaos theory; fuzzy logic techniques; fuzzy set theory; nonlinear dynamical systems; numerical simulation accuracy uncertainty; robotic dynamic systems control; robotic dynamic systems simulation; value range detection uncertainty; Chaos; Control systems; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Nonlinear control systems; Nonlinear dynamical systems; Numerical simulation; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1007269
