Improved Adaptive Stabilization Controller for an UPOs of Chaotic Systems~ with an Optimal Principle by TDFC Method
نویسندگان
1 Department of Electrical Engineering, Tafresh University, Tafresh 39518-79611, Iran
2 Departments of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
doi
10.22052/mir.2023.252864.1404چکیده
In this paper, we investigate an improved method for stabilizing a class of uncertain chaotic nonlinear dynamical system. Our approach follows techniques of optimal principle for time-delayed feedback control and adaptive tracking control theory for stabilizing unstable periodic orbits in a chaotic bounded attractor. The uncertain parameters expressed in the system can be separated. Analysis and proof are presented using the Lyapunov stability theorem. In particular, we use the adaptive control theory to design an adaptive law for the estimation of uncertain time-delayed controlled chaotic nonlinear dynamical systems. The predictions are presented by numerical simulation through the Rossler system to demonstrate theoretical results.
