Synchronisation between two uncertain highly complex hyperchaotic systems in the occurrence of unmatched disturbances using disturbance observer-based adaptive SMC

Jay Prakash Singh, A. B. Sarkar, Kshetrimayum Lochan, Binoy Krishna Roy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the literature of dynamical systems, many papers are seen on the synchronisation between chaotic/hyperchaotic systems. In these reported works, the synchronisation is done when the external disturbances are added to state of the slave system where controller is added, i.e. using matched disturbances. Occasional work is reported on the synchronisation between uncertain hyperchaotic systems in the presence of unmatched. In this paper, the synchronisation concept between two unidentically operated initial conditions highly complex hyperchaotic systems is shown by treating them as the master/transmitter and the slave/receiver systems. The synchronisation is achieved in the presence of added disturbance in the slave system, where controller is not inserted and also considering unidentified gains of the switching mode control law of the SMC. A nonlinear disturbance estimator-based adaptive sliding mode control (SMC) is proposed to realise the synchronisation. The MATLAB simulation results confirm that the synchronisation strategy is worked successfully, and the proposed works are validated.

Original languageEnglish
Title of host publicationAdvances in Control Instrumentation Systems - Select Proceedings of CISCON 2019
EditorsV.I. George, B.K. Roy
PublisherSpringer Gabler
Pages253-265
Number of pages13
ISBN (Print)9789811546754
DOIs
Publication statusPublished - 2020
Event16th Control Instrumentation System Conference, CISCON 2019 - Manipal, India
Duration: 08-11-201909-11-2019

Publication series

NameLecture Notes in Electrical Engineering
Volume660
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference16th Control Instrumentation System Conference, CISCON 2019
CountryIndia
CityManipal
Period08-11-1909-11-19

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

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    Singh, J. P., Sarkar, A. B., Lochan, K., & Roy, B. K. (2020). Synchronisation between two uncertain highly complex hyperchaotic systems in the occurrence of unmatched disturbances using disturbance observer-based adaptive SMC. In V. I. George, & B. K. Roy (Eds.), Advances in Control Instrumentation Systems - Select Proceedings of CISCON 2019 (pp. 253-265). (Lecture Notes in Electrical Engineering; Vol. 660). Springer Gabler. https://doi.org/10.1007/978-981-15-4676-1_23