Hybrid H-infinity synchronization for uncertain continuous chaotic systems based on digital redesign approach

Author:

Fang Jiunn-Shiou1,Tsai Jason Sheng-Hong1,Yan Jun-Juh2ORCID,Chiang Li-Huseh1,Guo Shu-Mei1

Affiliation:

1. National Cheng Kung University, Tainan

2. Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung

Abstract

In this paper, the design of hybrid H-infinity synchronization control for continuous chaotic systems based on sliding mode control (SMC) is considered. H-infinity discrete sliding mode controllers integrated with the digital redesign approach are newly designed to achieve robust chaos synchronization. By the proposed design procedure, an H-infinity discrete-time SMC can be easily obtained to guarantee the robustness of synchronization even if the system is disturbed with unmatched perturbations. Besides, since the saturation function is adopted to eliminate the unexpected chattering phenomenon, this paper also discusses the effect of saturation function in multi-input multi-output (MIMO) SMC and the upper bounds of sliding mode trajectories are obtained which is not indicated in the literature. Finally, we perform the simulation to verify the effectiveness of the proposed controller.

Funder

ministry of science and technology

Publisher

SAGE Publications

Subject

Applied Mathematics,Control and Optimization,Instrumentation

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