A chattering-free robust adaptive sliding mode controller for synchronization of two different chaotic systems with unknown uncertainties and external disturbances

Aghababa, Mohammad Pourmahmood; Akbari, Mohammad

doi:10.1016/j.amc.2011.11.080

Cited by 106 publications

(52 citation statements)

References 39 publications

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“…However, too wide boundary layer reduces control accuracy and too narrow boundary layer may not remove the chattering problem. Recently, alternative approaches [20,25,26] are developed to avoid the chattering problem. In [20], the sign function is replaced by the continuous tanh function.…”

Section: Discussionmentioning

confidence: 99%

“…Since chaos control problem was firstly considered by [6], the stabilization of chaotic systems has been paid much attention and various control strategies have been applied to realize chaos control and synchronization such as adaptive control [7][8][9][10][11][12][13][14][15], sliding mode control [2,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], fuzzy control [31,32], linear feedback control [33,34], polynomial approach [35] and harmonic approach [36][37][38][39]. In addition, several design methods [40][41][42][43][44][45] for the stabilization of systems with uncertainties have been investigated.…”

Section: Introductionmentioning

confidence: 99%

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Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Pai

2015

Applied Mathematics and Computation

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Pai

2015

Applied Mathematics and Computation

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“…Generally, the design of SMC consists of two main steps: (a) the definition of a switching surface and (b) the design of a control law to derive the states to the sliding mode [5,6]. The most significant trait of SMC is that after reaching the sliding surface, the controlled system is completely robust against the parameter variations and external disturbances [7,8]. Nevertheless, during the reaching phase of SMC, the system can be destabilized by matched uncertainties and disturbances [9].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

Mobayen

Băleanu

2015

Nonlinear Dyn

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This paper addresses a novel adaptive global nonlinear sliding surface for a class of disturbed nonlinear dynamical systems. A nonlinear gain function is used in the sliding surface to change the damping ratio and improve the transient performance of the controlled system. Initially, to get a quick response, a low value of damping ratio is obtained using a constant gain matrix. As the response of the system approaches to the origin, the damping ratio of the controlled system is improved and the overshoot and settling time of the closed-loop system are reduced. A novel control law without chattering is designed to satisfy the elimination of the reaching phase and achieve the presence of the sliding around the surface right from the beginning. Moreover, the adaptive tuning control law eliminates the necessity of the knowledge about the bounds of the external disturbances. Illustrative simulations on Genesio chaotic system with different values of the initial conditions and external disturbances are presented to show the robustness and success of the suggested design.

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“…Similar and worth studies are not limited upto here. It further can be found in [23][24][25][26][27][28][29][30][31][32][33][34][35][36] and the references therein.…”

mentioning

confidence: 96%

The improved results with Mathematica and effects of external uncertainty and disturbances on synchronization using a robust adaptive sliding mode controller: a comparative study

Shahzad

2014

Nonlinear Dyn

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In this computational article, the improved results when different chaotic systems are synchronized using robust adaptive sliding mode controller (RASMC) has been presented in which the simulation is based on Mathematica as well as the effects of external uncertainties (EU) and external disturbances (ED) have been studied in the synchronization of two different chaotic systems. For the same pairs (master and slave systems) of considered chaotic systems (Lorenz, Chen and Liu) and implemented technique (RASMC), a comparative study has been done between the results obtained using Mathematica and MATLAB, as well as the effects of EU and ED on the convergence of synchronization have been studied.

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A chattering-free robust adaptive sliding mode controller for synchronization of two different chaotic systems with unknown uncertainties and external disturbances

Cited by 106 publications

References 39 publications

Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

The improved results with Mathematica and effects of external uncertainty and disturbances on synchronization using a robust adaptive sliding mode controller: a comparative study

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