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Synchronization of Non-integer Chaotic Systems with Uncertainties, Disturbances and Input Non-linearities

Ayub Khan|Nasreen
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 353-369

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키워드

chaos synchronizationadaptive sliding mode techniqueunknown distur bancesmodel uncertainties and Input non-linearity
주제분류수학

초록

In this paper, we examine and analyze the concept of different non-integer chaotic systems with external disturbances, uncertainties, and input non-linearities. We consider both drive and response systems with external bounded disturbances and uncer tainties. We also consider non-linear control inputs. For synchronization, we introduce the adaptive sliding mode technique, in which we establish the stability of the controlled system by a control which estimates uncertainties and disturbances, and then applies a suitable sliding surface to control them. We use computer simulations to established the efficacy and adeptness of the prospective scheme.

Abstract

In this paper, we examine and analyze the concept of different non-integer chaotic systems with external disturbances, uncertainties, and input non-linearities. We consider both drive and response systems with external bounded disturbances and uncer tainties. We also consider non-linear control inputs. For synchronization, we introduce the adaptive sliding mode technique, in which we establish the stability of the controlled system by a control which estimates uncertainties and disturbances, and then applies a suitable sliding surface to control them. We use computer simulations to established the efficacy and adeptness of the prospective scheme.

참고문헌 (29)

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