NDLI: Synchronisation and anti-synchronisation of chaotic systems with application to DC

Content Provider	IET Digital Library
Author	Sakthivel, Rathinasamy Santra, Srimanta Anthoni, Selvaraj Marshal Kuppili, Venkatanareshbabu
Abstract	This study addresses the design of sampled-data feedback L ∞ controller for synchronisation of chaotic systems with external disturbances. By employing a novel time-dependent Lyapunov function which is positive definite at sampling times but not necessary between the sampling times, a new set of sufficient conditions in terms of linear matrix inequality is derived to a design sampled-data L ∞ control for synchronisation. More precisely, the proposed synchronisation results depend on both the lower and upper bounds on sampling interval and also the available information of the actual sampling pattern is fully used. Further, based on the Lyapunov function, an asymptotic anti-synchronisation criterion is derived by analysing the corresponding anti-synchronisation error systems. Subsequently, a set of sampled-data synchronisation control is designed in terms of solution to certain matrix inequalities that can be solved effectively by using available software. Finally, a numerical example based on boost converter DC–DC model is employed to show the effectiveness of the proposed sampled-data L ∞ synchronisation and anti-synchronisation control scheme.
Starting Page	959
Ending Page	967
Page Count	9
ISSN	17518687
Volume Number	11
e-ISSN	17518695
Issue Number	Issue 4, Mar (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/11/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2016.0971
Journal	IET Generation, Transmission & Distribution
Publisher Date	2017-03-09
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Antisynchronisation Control Scheme Antisynchronisation Error System Asymptotic Antisynchronisation Boost Converter DC–DC Model Chaos Chaotic System Control of Electric Power System Controller DC-DC Boost Converter DC-DC Power Converter Linear Matrix Inequalities Lyapunov Function Lyapunov Method Sampled-data Feedback L∞ Controller Sampled-data L∞ Synchronisation Sampled-data Synchronisation Control Stability in Control Theory Synchronisation
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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