Design of a Global Sliding Mode Controller Using Hyperbolic Functions for Nonlinear Systems and Application in Chaotic Systems

In this research, an LMI-based global sliding mode controller law with a novel switching function for the sliding surface using hyperbolic functions is presented and is used for stabilization and robustness of three-dimensional nonlinear systems with uncertainty. The asymptotic stability of the system's state variables is guaranteed by Linear Matrix Inequality (LMI) and furthermore, considering the uncertainty and nonlinear terms, the reaching phase of the sliding surface is deleted. Finally, the proposed control technique is implemented on Genesio-Tesi chaotic system and the results of the simulation are analyzed.

• Publication year

  2019

• Venue

  2019 27th Iranian Conference on Electrical Engineering (ICEE)

• Publication date

  2019-04-01

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1109/IranianCEE.2019.8786749
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Dynamic analysis, simulation, and control of a 6-DOF IRB-120 robot manipulator using sliding mode control and boundary layer method

  2018cited by this paper
• Design of novel adaptive sliding mode controller for perturbed Chameleon hidden chaotic flow

  2018cited by this paper
• Design of an adaptive chattering avoidance global sliding mode tracker for uncertain non-linear time-varying systems

  2017cited by this paper
• Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems

  2017cited by this paper
• Robust sampled-data H∞ control for mechanical systems

  2015cited by this paper
• Design of LMI-based global sliding mode controller for uncertain nonlinear systems with application to Genesio's chaotic system

  2015cited by this paper
• Robust Stability Criterion for Discrete-Time Nonlinear Switched Systems with Randomly Occurring Delays via T-S Fuzzy Approach

  2015cited by this paper
• Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller

  2014cited by this paper
• Design of CNF-based nonlinear integral sliding surface for matched uncertain linear systems with multiple state-delays

  2014cited by this paper
• A Discrete‐Time Global Quasi‐Sliding Mode Control Scheme with Bounded External Disturbance Rejection

  2014cited by this paper
• On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach

  2013cited by this paper
• A Novel Finite-Time Sliding Mode Controller for Synchronization of Chaotic Systems with Input Nonlinearity

  2013cited by this paper
• Output feedback integral sliding mode controller of time‐delay systems with mismatch disturbances

  2012cited by this paper
• Design and Analysis of an Integral Sliding Mode Fault-Tolerant Control Scheme

  2012cited by this paper
• Design of a sliding mode controller for synchronizing chaotic systems with parameter and model uncertainties and external disturbances

  2012cited by this paper
• Nonsingular terminal sliding mode approach applied to synchronize chaotic systems with unknown parameters and nonlinear inputs

  2012cited by this paper
• Sliding mode control: A survey with applications in math

  2011cited by this paper
• Design of Static Output Feedback Sliding Mode Control for Uncertain Linear Systems

  2010cited by this paper
• Time-varying sliding-mode control for finite-time convergence

  2010cited by this paper
• Dynamic output feedback sliding mode control for uncertain mechanical systems without velocity measurements.

  2010cited by this paper
• Global sliding mode control and application in chaotic systems

  2009cited by this paper
• LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller

  2008cited by this paper
• Integral sliding mode in systems operating under uncertainty conditions

  1996cited by this paper
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems

  1992influential reference
• Applied Nonlinear Control

  1991cited by this paper

• Design of Fixed-Time Sliding Mode Control for Chaotic Dynamics with Uncertainties and Disturbances

  2025cites this paper
• Adaptive barrier function‐based fractional‐order chattering‐free finite‐time control for uncertain chaotic systems

  2023cites this paper
• Control and synchronization of chaotic spur gear system using adaptive non-singular fast terminal sliding mode controller

  2022cites this paper
• Chattering-Free Terminal Sliding Mode Control Based on Adaptive Barrier Function for Chaotic Systems With Unknown Uncertainties

  2022cites this paper
• Complex dynamical behaviors of a novel exponential hyper–chaotic system and its application in fast synchronization and color image encryption

  2021cites this paper