Robust synchronization of chaotic systems via adaptive sliding mode control

Yan, Jing; Hung, Meei-Ling; Chiang, Tsung-Ying; Yang, Yuxin

doi:10.1016/j.physleta.2006.03.047

Cited by 93 publications

(48 citation statements)

References 25 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, we synchronize the identical and non-identical pairs of Φ 6 -VDPO and DO using RASMC technique that has a very quick response in stabilizing the synchronization of chaotic systems [32][33][34][35][36]. Below we describe the technique in details.…”

Section: Synchronization Using Rasmcmentioning

confidence: 99%

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

Shahzad

Ahmad

Saaban

et al. 2016

Systems

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Abstract:Chaotic dynamics are an interesting topic in nonlinear science that has been intensively studied during the last three decades due to its wide availability. Motivated by much researches on synchronization, the authors of this study have improved the time response of stabilization when parametrically excited Φ 6 -Van der Pol Oscillator (VDPO) and Φ 6 -Duffing Oscillator (DO) are synchronized identically as well as non-identically (with each other) using the Linear Active Control (LAC) technique using Mathematica. Furthermore, the authors have synchronized the same pairs of the oscillators using a more robust synchronization with faster time response of stability called Robust Adaptive Sliding Mode Control (RASMC). A comparative study has been done between the previous results of Njah's work and our results based on Mathematica via LAC. The time response of stabilization of synchronization using RASMC has been discussed.

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“…As we all known, a focused problem, in chaos synchronization, is to make the states of the slave system follow the master system with an appropriate controller. Due to a wide variety of applications, many approaches and controllers have been presented, including adaptive control [17,21,25], optimal control [9,34], sliding mode control [33], delayed Lur'e systems control [19], the open-loop-closed-loop coupling technology [16], linearly coupled ordinary differential systems analysis [27] and so on.…”

Section: Introductionmentioning

confidence: 99%