A Novel Finite-Time Sliding Mode Controller for Synchronization of Chaotic Systems with Input Nonlinearity

2012 ◽  
Vol 38 (11) ◽  
pp. 3221-3232 ◽  
Author(s):  
Mohammad Pourmahmood Aghababa ◽  
Hasan Pourmahmood Aghababa
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Input Nonlinearity

scholarly journals Uncertain Unified Chaotic Systems Control with Input Nonlinearity via Sliding Mode Control

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Zhi-ping Shen ◽  
Jian-dong Xiong ◽  
Yi-lin Wu
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Control Law ◽  
Sliding Mode Controller ◽  
Stabilization Problem ◽  
Input Nonlinearity ◽  
Mode Control ◽  
Unified Chaotic Systems

This paper studies the stabilization problem for a class of unified chaotic systems subject to uncertainties and input nonlinearity. Based on the sliding mode control theory, we present a new method for the sliding mode controller design and the control law algorithm for such systems. In order to achieve the goal of stabilization unified chaotic systems, the presented controller can make the movement starting from any point in the state space reach the sliding mode in limited time and asymptotically reach the origin along the switching surface. Compared with the existing literature, the controller designed in this paper has many advantages, such as small chattering, good stability, and less conservative. The analysis of the motion equation and the simulation results all demonstrate that the method is effective.

A novel robust finite-time tracking control of uncertain robotic manipulators with disturbances

2020 ◽  
pp. 107754632098244
Author(s):  
Hamid Razmjooei ◽  
Mohammad Hossein Shafiei ◽  
Elahe Abdi ◽  
Chenguang Yang
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Sliding Mode Controller ◽  
Time Varying ◽  
State Variables ◽  
Terminal Sliding Mode ◽  
Control Laws ◽  
Finite Time Boundedness

In this article, an innovative technique to design a robust finite-time state feedback controller for a class of uncertain robotic manipulators is proposed. This controller aims to converge the state variables of the system to a small bound around the origin in a finite time. The main innovation of this article is transforming the model of an uncertain robotic manipulator into a new time-varying form to achieve the finite-time boundedness criteria using asymptotic stability methods. First, based on prior knowledge about the upper bound of uncertainties and disturbances, an innovative finite-time sliding mode controller is designed. Then, the innovative finite-time sliding mode controller is developed for finite-time tracking of time-varying reference signals by the outputs of the system. Finally, the efficiency of the proposed control laws is illustrated for serial robotic manipulators with any number of links through numerical simulations, and it is compared with the nonsingular terminal sliding mode control method as one of the most powerful finite-time techniques.

Robust Control for Uncertain Unified Chaotic Systems with Input Nonlinearity via Improved Sliding Mode Technique

2011 ◽  
Vol 474-476 ◽  
pp. 2100-2105
Author(s):  
Xiao Jing Wu ◽  
Xue Li Wu
Keyword(s):  
Robust Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Chen System ◽  
Input Nonlinearity ◽  
Adaptive Parameter ◽  
Unified Chaotic Systems ◽  
Mode Technique ◽  
Sliding Mode Technique

This paper investigates the robust control problem of the uncertain unified chaotic systems subject to sector input nonlinearity. First, the adaptive parameter is introduced for designing sliding surface such that the parameters of the unified chaotic system are not necessary to know. Then, based on Lyapunov theory, the controller is designed via sliding mode technique, which cancels the assumption that the information on the bound of input nonlinearity should be known for designer in advance. Finally, the sliding mode controller is applied to ensure that different uncertain chaotic systems (Lorenz system, Lü system and Chen system) states can be regulated to zero levels asymptotically in the presence of sector input nonlinearity. The simulation results demonstrated the effectiveness of the proposed controller.

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