Sliding Mode Control for Discrete-Time Chaotic Systems With Input Nonlinearity

2020 ◽  
Vol 142 (10) ◽  
Author(s):  
Ming-Chang Pai
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Time Domain ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Input Nonlinearity ◽  
Mode Control ◽  
Assignment Method ◽  
The Stability

Abstract This paper presents a novel discrete-time sliding mode control (DSMC) for a general class of discrete-time chaotic systems with input nonlinearity and uncertainties. Unlike the conventional sliding mode control (SMC), the sliding surface is constructed by applying the eigenvalue assignment method to the overall system in discrete-time domain, not to the reduced system on the sliding mode in continue-time domain. The design of sliding surface and the existence of quasi-sliding mode are two significant issues, which have been addressed. The stability of the overall closed-loop system is guaranteed. In addition, the undesirable chattering phenomenon and the reaching phase are eliminated. Simulation results demonstrate the feasibility and effectiveness of the proposed scheme.

Robust Synchronization of Fractional-Order Arneodo Chaotic Systems Using a Fractional Sliding Mode Control Strategy

2018 ◽  
pp. 1-22
Author(s):  
Samir Ladaci ◽  
Karima Rabah ◽  
Mohamed Lashab
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Control Design ◽  
Lyapunov Stability Theory ◽  
Mode Control ◽  
Control Configuration ◽  
The Stability

This chapter investigates a new control design methodology for the synchronization of fractional-order Arneodo chaotic systems using a fractional-order sliding mode control configuration. This class of nonlinear fractional-order systems shows a chaotic behavior for a set of model parameters. The stability analysis of the proposed fractional-order sliding mode control law is performed by means of the Lyapunov stability theory. Simulation examples on fractional-order Arneodo chaotic systems synchronization are provided in presence of disturbances and noises. These results illustrate the effectiveness and robustness of this control design approach.

Sliding mode control for uncertain unified chaotic systems with input nonlinearity

2007 ◽  
Vol 34 (2) ◽  
pp. 437-442 ◽  
Author(s):  
Tsung-Ying Chiang ◽  
Meei-Ling Hung ◽  
Jun-Juh Yan ◽  
Yi-Sung Yang ◽  
Jen-Fuh Chang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Input Nonlinearity ◽  
Mode Control ◽  
Unified Chaotic Systems

scholarly journals Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Leipo Liu ◽  
Zhengzhi Han ◽  
Zhumu Fu
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
External Disturbance ◽  
Sufficient Conditions ◽  
Sliding Surface ◽  
Mode Control ◽  
Rejection Level ◽  
Uncertain Chaotic Systems ◽  
Sliding Mode Dynamics

This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalizedH2disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method.

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