Open AccessFuzzy Sliding Mode Control for Hyper Chaotic Chen System
Author(s) -
Morteza Sarailoo,
Zahra Rafiee,
Behrooz Rezaie
Publication year - 2012
Publication title -
advances in electrical and computer engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 23
eISSN - 1844-7600
pISSN - 1582-7445
DOI - 10.4316/aece.2012.01014
Subject(s) - chen , control theory (sociology) , chaotic , sliding mode control , mode (computer interface) , fuzzy logic , fuzzy control system , computer science , scheme (mathematics) , control (management) , mathematics , nonlinear system , physics , artificial intelligence , mathematical analysis , paleontology , quantum mechanics , operating system , biology
In this paper, a fuzzy sliding mode control method is proposed for stabilizing hyper chaotic Chen system. The main objective of the control scheme is to stabilize unstable equilibrium point of the system by controlling the states of the system so that they converge to a pre-defined sliding surface and remain on it. A fuzzy control technique is also utilized in order to overcome the main disadvantage of sliding mode control methods, i.e. chattering problem. It is shown that the equilibrium point of the system is stabilized by using the proposed method. A stability analysis is also performed to prove that the states of the system converge to the sliding surface and remain on it. Simulations show that the control method can be effectively applied to Chen system when it performs hyper chaotic behavior