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Adaptive robust synchronization of fractional order nonlinear chaotic systems with input delay
Abstract
In this paper, predictor based synchronization of input delay fractional order nonlinear chaotic systems in the presence of disturbance has been investigated. Firstly, a novel sliding mode controller is presented for delay‐free fractional order systems which ensures chaos synchronization exponentially in an arbitrary time. To ensure the effectiveness of the proposed controller, the arbitrary time convergence of both sliding and reaching phases has been investigated and proven. The presented scheme is completely novel in the sense that the convergence rate can be adjusted in addition to the convergence time. Secondly, an exponential arbitrary time disturbance observer is designed for delay fractional systems to estimate the external disturbance with an exponential rate. The proposed observer can ensure zero estimation error in a user‐defined time independent of initial conditions. Then, by incorporating the disturbance observer, a robust prediction based sliding mode synchronization method is designed for delay systems in the presence of disturbances. Finally, an upper bound for the input delay is determined and it is shown that for a delay less than this value, the synchronization error will be bounded. The effectiveness of the proposed method is validated via numerical simulations. It is noteworthy that this is the first study to propose predictor based control for input delay fractional order nonlinear systems.
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Cited by
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Metadata
- Authors
- Derakhshannia, M., & Moosapour, S. S.
- Affiliations
- Shahid Chamran University of Ahvaz (IR)
- Corresponding author
- Moosapour, Seyyed Sajjad
- Venue
- Asian Journal of Control
- Publisher
- Wiley
- Published
- 2025-09-19
- Volume
- 28
- Issue
- 6
- Pages
- 3205-3221
- ISSN
- 1561-8625 (ISSN-L)
- 1934-6093
- OpenAlex
- W4414357619
- Cited by
- 1
- References
- 51
- Citations by year
- 2026: 1
- FWCI
- 0.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- onlinelibrary.wiley.com/termsAndConditions#vor (vor)
- doi.wiley.com/10.1002/tdm_license_1.1 (tdm)
- Locations
- Asian Journal of Control (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Keywords
- chaos synchronization, fractional-order nonlinear systems, input delay, predictor-based control, sliding mode control, disturbance observer, robust synchronization, exponential convergence, synchronization error bounds
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