The ℋ _∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

Abstract

We consider an H∞ synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the H∞ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

Complex dynamical behavior and chaos control in fractional-order Lorenz-like systems

“…At present, a variety of nonlinear control methods have been put forward to achieve chaos control. [30][31][32][33] Here, sliding mode control will be adopted to achieve chaos control, and the control input is added to the second state equation. The sliding mode control design procedure [34][35][36] has two steps: first, a sliding surface that represents the desired system dynamics should be constructed.…”