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Title: Global stabilisation of control systems using a new sliding mode control method and its application to a general type of synchronisation for chaotic systems

Authors: Sundarapandian Vaidyanathan

Addresses: Research and Development Centre, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600062, Tamil Nadu, India

Abstract: This research work details the design of a new sliding mode control (SMC) technique for the global stabilisation of control systems. As a simple consequence, this work derives a new SMC method for a general type of synchronisation called generalised projective synchronisation (GPS) between chaotic systems. Next, we present the model of a new multistable two-scroll chaotic system. The new two-scroll chaotic system has three unstable balance points. We detail how to stabilise the new chaotic system using the new SMC. We also illustrate the GPS results for the new two-scroll chaotic system using the proposed SMC design.

Keywords: stabilisation; sliding mode control; SMC; nonlinear control; synchronisation; chaotic systems; chaos; multistability; Lyapunov exponents; generalised projective synchronisation; GPS.

DOI: 10.1504/IJMIC.2022.124067

International Journal of Modelling, Identification and Control, 2022 Vol.40 No.1, pp.1 - 10

Received: 04 Jul 2021
Accepted: 05 Jul 2021

Published online: 12 Jul 2022 *

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