Generalization of combination–combination synchronization of chaotic n-dimensional fractional-order dynamical systems

Sun

Mathematical Problems in Engineering

et al. 2019

Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.

“…which suggests that the equilibrium (0, 0, 0) is globally asymptotically stable for the 23 )-subsystem which satisfies ‖ ‖ + ‖ ‖ = 0. Then we havė…”

Section: Combination Synchronization-ii Of Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Type of Combination Synchronization among Multiple Chaotic Systems

Sun

Mathematical Problems in Engineering

et al. 2019

“…Although fractionalorder delayed chaotic systems were considered in the literature [23], the method used for synchronization was not combination synchronization. e generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems is studied in [24]. ere exist many works focusing on the combination synchronization of integer-order delayed chaotic systems; however, the conclusions on those works cannot be used on fractional-order delayed chaotic system directly.…”

Section: Introductionmentioning

confidence: 99%

Combination Synchronization of Three Different Fractional‐Order Delayed Chaotic Systems

Zhou

2019

Complexity

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.

International Journal of Advanced Robotic Systems

“…In the study of Chen and Ge, 19 using the neural networks and disturbance observer, the output feedback and state feedback controls are designed for uncertain nonlinear system. Numerous control methods have been designed with the elasticity systems, 20,21 single-input-single-output purefeedback system, MIMO uncertain and perturbed system, 22 and strict-feedback system. 7,23,24 For this article, we present the strict-feedback systems formulation of the longitudinal dynamics into altitude and velocity subsystem in reference to HFV control.…”

Section: Introductionmentioning

confidence: 99%

Disturbance observer–based control of flexible hypersonic flight vehicle

Ren

Yang

2017

In this article, the disturbance observer-based control is designed for a flexible hypersonic flight vehicle with the external disturbance. The aircraft structure is easy to cause elastic vibration, thus leading to serious change in structural configuration or even disintegration. Therefore, the impact of elasticity modal for altitude subsystem is described as a system disturbance, and then, the equivalent model is established. On this basis, considering the model structure and composition of nonlinear systems, the disturbance observer is used to eliminate the information of the disturbance. Finally, the simulation results make an offer to show that the disturbance observer-based control can provide a good tracking performance.