Adaptive synchronization of chaotic systems with unknown parameters via new backstepping strategy

Li, Shih Yu; Yang, Cheng Hsiung; Lin, Chin‐Teng; Ko, Li-Wei; Chiu, Tien Ting

doi:10.1007/s11071-012-0605-x

Cited by 35 publications

(9 citation statements)

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“…Nowadays, more and more techniques of chaos synchronization were proposed, such as backstepping control method (Li et al 2012;Cui et al 2014), linear error feedback control Hu et al 2015;Kole 2015), adaptive control (Zhao and Jia 2014;Chen et al 2015;Fan and Yan 2015;Jose 2015), and sliding mode control (Yang et al 2010;Kang et al 2015;Zhang et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy adaptive control of two totally different chaotic systems with complicated structures by novel pragmatically adaptive control strategy

et al. 2016

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In this paper, a set of novel fuzzy adaptive control strategy is proposed to control two totally different nonlinear systems with complicated structure and different numbers of nonlinear terms. This novel adaptive control strategy is composed of three main points-(1) novel fuzzy model, proposed via Li and Ge (IEEE Trans Syst Man Cybern Part B Cybern 41(4):1015-1026, 2011), provides a set of simple and effective modeling strategy to reduce the total numbers of fuzzy rules through modeling process, and only two linear subsystems are needed; (2) novel control Lyapunov function is set as an exponential form of error states and tries to speed up the variance of states in this article; and (3) pragmatical asymptotically stability theorem: this theorem can be applied to proof that the error of parameters can achieve the original point strictly. Mathieu-Van der Pol system and quantum cellular neural networks nanosystem are used for illustrations in numerical simulation results to show the effectiveness and feasibility of the new fuzzy adaptive approach. Traditional fuzzy modeling and adaptive control method are given for further comparison.

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Section: Introductionmentioning

confidence: 99%

Fuzzy adaptive control of two totally different chaotic systems with complicated structures by novel pragmatically adaptive control strategy

et al. 2016

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“…Further, projective synchronization between chaotic systems is discussed [35]. Also, Li et al studied adaptive backstepping scheme for synchronizing nonlinear chaotic systems [36]. Moreover, Wu and his team discussed complex projective chaos synchronization among complex chaotic systems [37].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Projective Synchronization of 4-D Hyperchaotic Systems via Adaptive Control

Khan

Chaudhary

2020

J. Sci. Res.

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This paper designs a procedure for investigating the hybrid projective synchronization (HPS) scheme between two identical 4-D hyperchaotic systems. Based on Lyapunov stability theory (LST), an adaptive control technique (ACT) has been designed to achieve the desired HPS scheme. The suggested technique determines globally the asymptotic stability and identification of parameters simultaneously using HPS scheme. It is noted that complete , hybrid and anti-synchronization turns into particular cases of HPS scheme. Numerical simulations are presented to validate the effectivity and feasibleness of the considered technique by using MATLAB. Remarkably, the theoretical and computational outcomes are in complete agreement. Also, the considered HPS scheme is very efficient as it has numerous applications in encryption and secure communication.

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“…When the underwater Robot has good handling performance, it cannot only maintain stable driving course, depth, and speed but also quickly change the heading, depth, and speed and correctly perform all kinds of operations [8]. The path control of underwater Robot affects the performance of underwater Robot [9].…”

Section: Introductionmentioning

confidence: 99%

A Novel Path Control Algorithm for Networked Underwater Robot

She

Tian²

2018

Journal of Robotics

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Under the network environment, the traditional control method of underwater Robot path has the disadvantages of low control accuracy, large error, and inefficiency. This paper proposes a novel path control method for underwater Robots based on the NURBS (nonuniform rational B-spline, NURBS) curve fitting method, which utilizes a sensor or camera to detect the static and dynamic obstacles, establishes the kinematics model of underwater Robots, gets the target function of rob shortest path, and analyzes underwater Robot constraints. According to the basic fluid mechanics, the resistance of the underwater Robot is determined. The filter function is used to smooth the process, and the NURBS curve fitting method is applied to control the path of the underwater Robot. Experimental results show that the improved method that proved to be practical is superior to the traditional one in the aspect of control time and accuracy.

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Adaptive synchronization of chaotic systems with unknown parameters via new backstepping strategy

Cited by 35 publications

References 50 publications

Fuzzy adaptive control of two totally different chaotic systems with complicated structures by novel pragmatically adaptive control strategy

Fuzzy adaptive control of two totally different chaotic systems with complicated structures by novel pragmatically adaptive control strategy

Hybrid Projective Synchronization of 4-D Hyperchaotic Systems via Adaptive Control

A Novel Path Control Algorithm for Networked Underwater Robot

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