Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays

Wen, Guilin; Wang, Qingguo; Lin, Chong; Han, Xu; Li, Guangyao

doi:10.1016/j.chaos.2005.08.078

Cited by 43 publications

(17 citation statements)

References 24 publications

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“…The first idea of synchronizing two identical chaotic systems with different initial conditions was introduced by Pecora and Carroll [6], and the method was realized in electronic circuits. The methods for synchronization of the chaotic systems have been widely studied in recent years, and many different methods have been applied theoretically and experimentally to synchronize chaotic systems, such as feedback control [7][8][9][10][11][12], adaptive control [13][14][15][16][17], backstepping [18] and sliding mode control [19,20]. Recently, the theory of incremental input-to-state stability to the problem of synchronization in a complex dynamical network of identical nodes, using chaotic nodes as a typical platform was studied in [21].…”

Section: Introductionmentioning

confidence: 99%

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

Karimi

Luo

2010

2010 Conference on Control and Fault-Tolerant Systems (SysTol)

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In this paper, the problem of robust synchronization and fault detection for a class of masterslave systems subjected to some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated based on an H ∞ performance condition. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities to synthesize the residual generation scheme. The explicit expression of the synchronization law is derived for the fault such that both asymptotic stability and a prescribed level of disturbance attenuation are satisfied for all admissible nonlinear perturbations. A numerical example with simulation results illustrates the effectiveness of the methodology.

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Section: Introductionmentioning

confidence: 99%

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

Karimi

Luo

2010

2010 Conference on Control and Fault-Tolerant Systems (SysTol)

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“…In this section, an illustrative example of a threedimensional choatic Chua's circuit systems in the form of [16] is given to demonstrate the effectiveness of the proposed scheme.…”

Section: Simulation Resultsmentioning

confidence: 99%

Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Zhao

2013

2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics

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Abstract-This paper addresses the reliable synchronization problem for a general class of uncertain chaotic systems with adaptive mechanism. By combining adaptive method and linear matrix inequality (LMI) optimization technique, an adaptive reliable synchronization controller is established to guarantee synchronization between the master chaotic and slave chaotic systems even though actuator failures occur and uncertain nonlinear term exists. Finally, an illustrate example is provided to demonstrate the effectiveness of the results developed in this paper.

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“…Mattia and Giudice [30] studied the role of random synaptic delays in determining the average dynamics of a network of neurons. Wen et al [31] obtained conditions for synchronization of chaotic systems in the presence of random delays in the feedback loop. Random delays became relevant to mechanical engineering when Yilmaz et al [32] considered the possibility of suppression of chatter using a random modulation of the spindle speed.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation studies of delayed systems with variable delays using Galerkin projections

Wahi

2014

Int. J. Dynam. Control

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In this paper, we use finite dimensional ordinary differential equation (ODE) approximations of delay differential equations (DDEs) with variable delays for stability and bifurcation studies. Two different approaches to handle variable delays in these systems have been presented. The first one involves embedding the variable time-delay in a fixed delay interval and is suitable for variable delays whose variation with time is explicitly defined and an upper-bound is known apriori. The efficacy of this procedure is demonstrated for the practical example of turning operation where periodic or random variation of spindle speed is employed for chatter control. For the practical application of a statedependent delayed model for turning, this approach leads to a system of differential algebraic equations which are not easily amenable to stability and bifurcation studies. Hence, an alternate approach based on mapping the variable delay to a fixed delay using a dynamic scaling of the delayed variable is presented which results in system of ODEs facilitating the stability and bifurcation analysis. In all the cases, an excellent agreement has been achieved between the stability results from the approximation and the analytical/full numerical simulation studies. Bifurcation diagrams have been presented only for the state-dependent delay case where they match the existing results reported in the literature using DDE-biftool.

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Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays

Cited by 43 publications

References 24 publications

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Stability and bifurcation studies of delayed systems with variable delays using Galerkin projections

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