Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems

Mofid, Omid; Mobayen, Saleh; Khooban, Mohammad‐Hassan

doi:10.1002/acs.2965

Cited by 83 publications

(60 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to their valuable characteristics, chaotic systems have long attracted the consideration of investigators worldwide [1][2][3]. The nonlinear, aperiodic and unstable characteristics of these systems result in their widespread applications in various fields, including secure communication [4,5]. In chaos theory, the butterfly effect refers to the sensitive dependence on initial conditions, in which a small variation in one state can result in more bigger variations in the later state.…”

Section: Introductionmentioning

confidence: 99%

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

et al. 2021

Self Cite

View full text Add to dashboard Cite

This paper proposes a disturbance observer-based Sliding Mode Control (SMC) approach for the robust synchronization of uncertain delayed chaotic systems. This is done by, first, examining and analyzing the electronic behavior of the master and slave Sprott chaotic systems. Then, synthesizing a robust sliding mode control technique using a newly proposed sliding surface that encompasses the synchronization error between the master and slave. The external disturbances affecting the system were estimated using a disturbance observer. The proof of the semi-globally bounded synchronization between the master and slave was established using the Lyapunov stability theory. The efficiency of the proposed approach was first assessed using a simulation study, then, experimentally validated on a data security system. The obtained results confirmed the robust synchronization properties of the proposed approach in the presence of timedelays and external disturbances. The experimental validation also confirmed its ability to ensure the secure transfer of data. INDEX TERMS Sliding mode control; robust synchronization control; chaotic systems; disturbance observer; data security.

show abstract

Section: Introductionmentioning

confidence: 99%

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…Disturbance cannot be easily ignored in practical applications. A nonlinear fractional-order disturbance observer (FODO) was designed to control the disturbance, and then adaptive SMC law was introduced for FO chaotic system in Khan and Tyagi (2017a) and Mofid et al (2019). However, these techniques are not feasible for the system with mismatched disturbance.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Disturbance Observer Control Based on Adaptive Hybrid Projective Compound Combination Synchronization in Fractional-Order Chaotic Systems

Khan

Nigar

2020

J Control Autom Electr Syst

View full text Add to dashboard Cite

In this paper, the hybrid projective compound combination synchronization (HPCCS) in a class of commensurate fractionalorder chaotic Genesio-Tesi system with unknown disturbance has been investigated. To deal with the problem of bounded disturbance, the nonlinear HPCCS is proposed for the fractional-order chaotic system. Further, by choosing the appropriate control gain parameters, the nonlinear fractional-order disturbance observer can approximate the disturbance efficiently. Based on the sliding mode control (SMC) method, a simple sliding mode surface has been introduced. Moreover, by using the Lyapunov stability theory, the designed adaptive SMC method establishes that the states of the three master and two chaotic slave systems are synchronized expeditiously. Finally, some numerical simulation results are illustrated to visualize the effectiveness and the utility of the developed approach on the considered system in the presence of the external unknown bounded disturbances using MATLAB.

show abstract

“…Because of the dangerous vibrations on these machines, many research papers investigated the possibility of controlling the oscillations of such systems [13][14][15][16][17][18][19]. In addition, more advanced control techniques that can be applied in future work can be found in references [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

2020

View full text Add to dashboard Cite

This work aims to diagnose the crack size of a nonlinear rotating shaft system based on the qualitative change of the system oscillatory characteristics. The considered system is modeled as a two-degree-of-freedom horizontally supported nonlinear Jeffcott rotor system. The influence of the crack size on the system whirling motion for the primary, superharmonic, and subharmonic resonance cases are investigated utilizing the bifurcation diagram, Poincaré map, frequency spectrum, and whirling orbit. The obtained numerical results revealed that the cracked system whirling motion is subjected to a continuous qualitative change as the crack size increases for the superharmonic resonance case, where the system can exhibit period-1, period-2, quasi-periodic, period-3, period-doubling, chaotic, and period-2 motions, sequentially. In addition, an asymmetry is observed in the system whirling orbit due to both the shaft weight and shaft crack. Moreover, it is found that the disk eccentricity does not affect the nature of these motions. Accordingly, we illustrated a simple method to diagnose the existence of such a crack and to quantify its size via monitoring the system lateral vibrations at the superharmonic resonance. Finally, all the obtained numerical results are concluded and a comparison with already published work is included.

show abstract

Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems

Cited by 83 publications

References 33 publications

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

Sliding Mode Disturbance Observer Control Based on Adaptive Hybrid Projective Compound Combination Synchronization in Fractional-Order Chaotic Systems

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

Contact Info

Product

Resources

About