Adaptive Modulus Hybrid Projective Combination Synchronization of Time-Delay Chaotic Systems with Uncertainty and Disturbance and its Application in Secure Communication

Khan, Ayub; Nigar, Uzma

doi:10.1007/s40819-021-01142-y

Cited by 4 publications

(3 citation statements)

References 69 publications

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“…In addition, time delay and uncertainty exist in many practical systems such as control system and circuit system, and their existence affects the stability of the system (Gu et al, 2003;Hale and Lunel, 2013;Yang et al, 2021). Therefore, the study of time delay and uncertainty is meaningful and has received wide attention (Abolpour, 2021;Han et al, 2021;Khan and Nigar, 2021;Rahimi and Binazadeh, 2021;Yang, 2023;Zhou et al, 2021). Han et al (2021) studied the time delay and parameter uncertainty of the supercavitating vehicle and designed a robust controller.…”

Section: Introductionmentioning

confidence: 99%

“…Han et al (2021) studied the time delay and parameter uncertainty of the supercavitating vehicle and designed a robust controller. Khan and Nigar (2021) studied a kind of adaptive modulus hybrid projection combined synchronization for hyperchaotic systems with uncertainties and perturbations. Based on integral sliding mode control and adaptive robust time-delay control method, Zhou et al (2021) proposed a double closed-loop control structure to deal with model uncertainty, environmental disturbance, and time-varying uncertain input delay without explicit understanding of delay change.…”

Section: Introductionmentioning

confidence: 99%

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Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Chunfu,

Yang

2023

Transactions of the Institute of Measurement and Control

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Using the Hamiltonian function method with different powers, this paper studies the observer-based finite-time robust control problem of general nonlinear uncertain systems with time delay and presents some new results on this issue. First, by applying Hamiltonian realization method, the paper develops an equivalent Hamiltonian form of original system and designs its observer system. Then, based on the observer system, we study finite-time control problem and present several finite-time stabilization and finite-time robust stabilization results by using the augmented technology and the Lyapunov method. Finally, a real unmanned vehicle is used to verify the performance of the observer-based finite-time robust stabilization controller. Different from the existing literature on Hamiltonian method, the Hamiltonian function in the paper has different powers, which implies that the results developed in the paper have a wider range of application.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Chunfu,

Yang

2023

Transactions of the Institute of Measurement and Control

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“…Integrating of combine synchronization and projection synchronization can realize more complex synchronization and meet higher synchronization requirements. At present, the combination projection synchronization is mostly applied in synchronization between chaotic systems [29][30][31][32][33], and there are few studies on fractional-order complex networks. The research on combination projective synchronization of fractional-order complex networks can describe network synchronization more broadly in practical engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

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General multi-switching synchronization using sliding mode control

Shahzad

2024

European Journal of Control

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Adaptive Modulus Hybrid Projective Combination Synchronization of Time-Delay Chaotic Systems with Uncertainty and Disturbance and its Application in Secure Communication

Cited by 4 publications

References 69 publications

Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

General multi-switching synchronization using sliding mode control

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