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Proceedings ArticleDOI

Terminal sliding mode control of chaotic Lorenz system: A discrete-time case

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TLDR
In this article, a discrete-time terminal sliding mode controller (DTSMC) is developed to reach a finite-time and high precision control of a Lorenz system in discrete time, and the stability analysis of DTSMC is presented in the presence of external disturbance and model uncertainties.
Abstract
The objective of this paper is to design a finite-time controller for Lorenz system in discrete-time. First, a discrete model is derived through the Taylor series expansion. In the next step, a discrete-time terminal sliding mode controller (DTSMC) is developed to reach a finite-time and high precision control. The stability analysis of DTSMC is presented in the presence of external disturbance and model uncertainties. Numerical simulations of Lorenz system are shown and compared with a discrete-time sliding mode control (DSMC) to illustrate the effectiveness of the proposed control scheme.

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Citations
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Proceedings ArticleDOI

Design of a discrete-time terminal sliding mode repetitive controller

TL;DR: A discrete- time terminal sliding mode repetitive controller (TSMRC) for improved robust tracking performance and fast transient response and a small pure phase advance component is added to the proposed control structure to improve the tracking of periodic reference signals with high frequency components.
References
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Journal ArticleDOI

A control engineer's guide to sliding mode control

TL;DR: An accurate assessment of the so-called chattering phenomenon is offered, which catalogs implementable sliding mode control design solutions, and provides a frame of reference for future sliding Mode control research.
Journal ArticleDOI

Brief Non-singular terminal sliding mode control of rigid manipulators

TL;DR: This paper presents a global non-singular terminal sliding mode controller for rigid manipulators to enable the elimination of the singularity problem associated with conventional terminal slide mode control.
Journal ArticleDOI

Discrete-time variable structure control systems

TL;DR: This paper presents a treatment of discrete variable structure control systems, and a recently introduced "reaching law approach" is conveniently used to develop the control law for robust control.
Book

From Chaos To Order Methodologies, Perspectives and Applications

TL;DR: This work focuses on chaos and order ordering chaos organization of the monograph and some applications of controlling chaos, and some approaches to controlling chaos.
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