Synchronization of two chaotic systems: Dynamic compensator approach

Chen, Chang Kuo; Lai, Tsung Wen; Yan, Jun Juh; Liao, Teh‐Lu

doi:10.1016/j.chaos.2007.04.004

Cited by 7 publications

(3 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For polynomial systems, Yuno and Ohtsuka provide a sufficient condition for the existence of a dynamic compensator and present an exact algorithm for computing such a compensator [12]. Chen et al achieve the synchronisation between master and slave chaotic systems based on dynamic compensator, further, propose a sufficient condition to maintain the global synchronisation such that the strictly positive real restriction can be ignored [13]. Tsuzuki and Yamashita implement a global asymptotic stabilisation on a Riemannian manifold by using a dynamic compensator and a global Lyapunov function for an input-affine system [14].…”

Section: Introductionmentioning

confidence: 99%

Parametric control to a type of descriptor quasi‐linear systems based on dynamic compensator and multi‐objective optimisation

Zhang

2020

IET Control Theory & Applications

View full text Add to dashboard Cite

This study investigates the parametric approach for a type of descriptor quasi-linear systems by utilising dynamic compensator and multi-objective optimisation. Based on the solutions of generalised Sylvester matrix equation, the generally parameterised expressions of dynamic compensator and the left and right eigenvector matrices are both established, meanwhile, a group of arbitrary parameters are obtained. With the parametric approach, the closed-loop system can be transformed into a linear time-invariant one with an expected eigenstructure by using a group of canonical matrix pairs. Simultaneously, it also presents a novel technique to design multi-objective optimisation for descriptor quasi-linear systems.Multiple performance indexes such as low sensitivity, disturbance attenuation, robustness degree, and low gains are formulated by arbitrary parameters. Based on the above indexes, robustness criteria and low gain criteria can be expressed by a synthetic objective function which includes each performance index weighted. By utilising the degrees of freedom in arbitrary parameters, a dynamic compensator can be obtained by solving a multi-objective optimisation problem. Finally, two examples are proposed to prove that the parametric approach is effective.

show abstract

Section: Introductionmentioning

confidence: 99%

Parametric control to a type of descriptor quasi‐linear systems based on dynamic compensator and multi‐objective optimisation

Zhang

2020

IET Control Theory & Applications

View full text Add to dashboard Cite

show abstract

“…For polynomial systems, Yuno and Ohtsuka provide a sufficient condition for existence of dynamic compensator and propose an exact algorithm to compute such a compensator [30]. Chen et al realize the master-slave chaotic synchronization through dynamic compensator and give a sufficient condition to maintain the global synchronization such that the strictly positively real constraint is ignored [2]. Tsuzuki and Yamashita implement a global asymptotic stabilization on a Riemannian manifold by using a dynamic compensator and a global Lyapunov function for inputaffine systems [28].…”

Section: Introductionmentioning

confidence: 99%

Parametric control to quasi-linear systems based on dynamic compensator and multi-objective optimization

Gu¹,

Zhang²

2020

Kybernetika

View full text Add to dashboard Cite

show abstract

“…Yuno and Ohtsuka provide a sufficient condition for existence of a dynamic compensator and an exact algorithm for computing such a compensator, which aims at a polynomial system ([15]). Chen et al achieve the synchronization between master and slave chaotic systems based on dynamic compensator, further, propose a sufficient condition to maintain the global synchronization, with this method, the strictly positive real restriction can be ignored ([16]). Tsuzuki and Yamashita utilize a stabilization approach, by using a dynamic compensator and a global Lyapunov function for an input‐affine system, to implement a global asymptotic stabilization on a Riemannian manifold ([17]).…”

Section: Introductionmentioning

confidence: 99%

Parametric control to linear time‐varying systems based on dynamic compensator and multi‐objective optimization

Zhang

Duan

2019

Asian Journal of Control

View full text Add to dashboard Cite

This paper investigates the parametric approach for linear time-variant systems by using dynamic compensator and multi-objective optimization. Based on the solution to a class of generalized Sylvester matrix equations, the generally completely parametrized expression of the dynamic compensator is established, meanwhile, the completely parametric forms of left and right closed-loop eigenvectors and two groups of arbitrary parameters are obtained. With the proposed parametric approach, the closed-loop system can be transformed into a linear time-invariant one with expected eigenstructure. Simultaneously, it also considers a novel technique to multi-objective optimization design for linear time-varying systems. Multiple performance objectives, including the overall sensitivity function, H 2 norm and H ∞ norm, are formulated by two groups of arbitrary parameters. Based on these performance objectives, the robustness criteria is expressed by a comprehensive objective function which includes each performance objective weighted. By utilizing the degrees of freedom in parameters to optimize the comprehensive objective function, an optimized dynamic compensator can be obtained to satisfy the robustness criteria. Finally, an example of spacecraft rendezvous problem is presented to illustrate the effectiveness of the proposed approach.

show abstract

Synchronization of two chaotic systems: Dynamic compensator approach

Cited by 7 publications

References 25 publications

Parametric control to a type of descriptor quasi‐linear systems based on dynamic compensator and multi‐objective optimisation

Parametric control to a type of descriptor quasi‐linear systems based on dynamic compensator and multi‐objective optimisation

Parametric control to quasi-linear systems based on dynamic compensator and multi-objective optimization

Parametric control to linear time‐varying systems based on dynamic compensator and multi‐objective optimization

Contact Info

Product

Resources

About