Chaos synchronization of uncertain chaotic systems using composite nonlinear feedback based integral sliding mode control

This paper proposes an integral sliding mode control (ISMC) method of a class of uncertain chaotic systems with saturation inputs. Firstly, fuzzy logic system (FLS) is used to estimate the unknown nonlinear function. Then, a disturbance observer is constructed to estimate a compound disturbance, which contains the external disturbance, the error of saturation input and control output, and the fuzzy estimation error. Subsequently, a proposed integral sliding mode controller can ensure that all signals of the closed-loop system are ultimately bounded, and based on the dynamic system of the integral sliding mode variable itself, the ultimate bound of the tracking error can be estimated. Simulation results show that the proposed ISMC method is more effective than the traditional ISMC method.

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Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

Mathematical Problems in Engineering ◽

10.1155/2018/6581493 ◽

2018 ◽

Vol 2018 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Nazam Siddique ◽

Fazal ur Rehman

Keyword(s):

Sliding Mode Control ◽

Parameter Identification ◽

Chaotic Systems ◽

Sliding Mode ◽

Design Method ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control ◽

Error System ◽

Hybrid Synchronization

This article presents an adaptive integral sliding mode control (SMC) design method for parameter identification and hybrid synchronization of chaotic systems connected in ring topology. To employ the adaptive integral sliding mode control, the error system is transformed into a special structure containing nominal part and some unknown terms. The unknown terms are computed adaptively. Then the error system is stabilized using integral sliding mode control. The controller of the error system is created that contains both the nominal control and the compensator control. The adapted laws and compensator controller are derived using Lyapunov stability theory. The effectiveness of the proposed technique is validated through numerical examples.

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Modified Function Projective Synchronization of a Classic Chaotic Systems with Unknown Disturbances Based on Adaptive Integral Sliding Mode Control

2013 Fourth International Conference on Intelligent Systems Design and Engineering Applications ◽

10.1109/isdea.2013.491 ◽

2013 ◽

Cited By ~ 1

Author(s):

Deng Wei ◽

Wang Hong ◽

Fang Jie ◽

Wu Zhen-Jun

Keyword(s):

Sliding Mode Control ◽

Chaotic Systems ◽

Sliding Mode ◽

Projective Synchronization ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Function Projective Synchronization ◽

Mode Control ◽

Modified Function Projective Synchronization ◽

Unknown Disturbances

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Adaptive fuzzy control for a class of uncertain chaotic systems based on proportional-integral sliding mode control approach

2018 Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc.2018.8407200 ◽

2018 ◽

Cited By ~ 1

Author(s):

Dongling Cui ◽

Hongqi Zhu ◽

Heng Liu

Keyword(s):

Fuzzy Control ◽

Sliding Mode Control ◽

Chaotic Systems ◽

Sliding Mode ◽

Adaptive Fuzzy Control ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Control Approach ◽

Proportional Integral ◽

Uncertain Chaotic Systems

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Chaos Synchronization of Hyperchaotic Zhou System by Adaptive Integral Sliding Mode Control

2015 International Conference on Computing Communication Control and Automation ◽

10.1109/iccubea.2015.21 ◽

2015 ◽

Author(s):

Yashar Toopchi ◽

Jidong Wang

Keyword(s):

Sliding Mode Control ◽

Chaos Synchronization ◽

Sliding Mode ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control

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Synchronization of fractional‐order chaotic systems with disturbances via novel fractional‐integer integral sliding mode control and application to neuron models

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5548 ◽

2019 ◽

Vol 42 (8) ◽

pp. 2761-2773 ◽

Cited By ~ 4

Author(s):

Vajiheh Vafaei ◽

Hossein Kheiri ◽

Aliasghar Jodayree Akbarfam

Keyword(s):

Sliding Mode Control ◽

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Neuron Models ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control

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Composite nonlinear feedback–based adaptive integral sliding mode control for a servo position control system subject to external disturbance

Transactions of the Institute of Measurement and Control ◽

10.1177/01423312211063696 ◽

2021 ◽

pp. 014233122110636

Author(s):

Hui Chen ◽

Min Xiang ◽

Bingjie Guan ◽

Weijie Sun

Keyword(s):

Sliding Mode Control ◽

Position Control ◽

Sliding Mode ◽

External Disturbance ◽

Nonlinear Feedback ◽

Closed Loop System ◽

Composite Nonlinear Feedback ◽

Integral Sliding Mode ◽

Mode Control ◽

Position Control System

This paper presents a composite nonlinear feedback–based adaptive integral sliding mode controller with a reaching law (CNF-AISMRL) for fast and accurate control of a servo position control system subject to external disturbance. The proposed controller exploits the advantages of composite nonlinear feedback (CNF) and sliding mode control (SMC) schemes to improve the transient performance and increase the robustness of the closed-loop system. An integral sliding mode combined with a quick reaching law is designed to eliminate the effect of disturbances, which mitigates chattering and achieves finite-time convergence of the sliding mode. An adaptation tuning approach is utilized to deal with unknown but bounded system uncertainties and disturbances. When considering the model uncertainties and disturbances, the stability of the closed-loop system is verified based on the Lyapunov theorem. Numerical simulations are investigated to the effectiveness of the proposed scheme. The transient performance of load disk position to step signal with disturbances using CNF, composite nonlinear feedback based integral sliding mode control (CNF-ISM), and the proposed CNF-AISMRL schemes is given. The simulation results indicate that, without acquiring the knowledge of bounds on system disturbances, the proposed control scheme has superior performance in the presence of time-varying disturbances.

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