Chaos suppression of rotational machine systems via finite-time control method

Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood

doi:10.1007/s11071-012-0393-3

Cited by 37 publications

(24 citation statements)

References 28 publications

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“…Hence, it clearly appears that the synchronization time has to be known and minimized, so to make the synchronization be achieved as fast as possible. In this context, there is a relentless activity in the study of finite-time chaos synchronization [36,37] and gradually of fractional-order systems [38][39][40]. Unfortunately, in many of these references dealing with synchronization, for example in the previous three, applications in secure communication are missing.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

et al. 2017

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Abstract. The problem of finite-time synchronization of fractional-order simplest two-component chaotic oscillators operating at high frequency and application to digital cryptography is addressed. After the investigation of numerical chaotic behavior in the system, an adaptive feedback controller is designed to achieve the finite-time synchronization of two oscillators, based on the Lyapunov function. This controller could find application in many other fractional-order chaotic circuits. Applying synchronized fractionalorder systems in digital cryptography, a well secured key system is obtained. Numerical simulations are given to illustrate and verify the analytic results.

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Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

et al. 2017

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“…If the chaos controller is designed as (23) and (31) with tracking differentiator (9) and adaptive laws (24) and (32), by selecting the appropriate parameters such as c 1 , c 2 , c 3 , r 11 , r 12 , r 21 , r 22 a 2 , a 3 , γ 2 , γ 3 , m 2 , m 3 , then all signals of the mechanical centrifugal flywheel governor system are uniformly ultimately bounded and the tracking error remains close to zero. Furthermore, the output constraint is never transgressed in the process.…”

Section: -7mentioning

confidence: 99%

“…Recent researches illustrate that the mechanical centrifugal flywheel governor system can exhibit a diverse range of dynamic behavior including regular and chaotic motions. [1][2][3] However, chaotic oscillations of the mechanical centrifugal flywheel governor system which display unpredictable and irregular behaviors have become a serious problem. This behavior leads to the deterioration of the system performance and shortens the system lifetime.…”

Section: Introductionmentioning

confidence: 99%

Performance enhanced design of chaos controller for the mechanical centrifugal flywheel governor system via adaptive dynamic surface control

2016

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This paper addresses chaos suppression of the mechanical centrifugal flywheel governor system with output constraint and fully unknown parameters via adaptive dynamic surface control. To have a certain understanding of chaotic nature of the mechanical centrifugal flywheel governor system and subsequently design its controller, the useful tools like the phase diagrams and corresponding time histories are employed. By using tangent barrier Lyapunov function, a dynamic surface control scheme with neural network and tracking differentiator is developed to transform chaos oscillation into regular motion and the output constraint rule is not broken in whole process. Plugging second-order tracking differentiator into chaos controller tackles the “explosion of complexity” of backstepping and improves the accuracy in contrast with the first-order filter. Meanwhile, Chebyshev neural network with adaptive law whose input only depends on a subset of Chebyshev polynomials is derived to learn the behavior of unknown dynamics. The boundedness of all signals of the closed-loop system is verified in stability analysis. Finally, the results of numerical simulations illustrate effectiveness and exhibit the superior performance of the proposed scheme by comparing with the existing ADSC method.

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“…Moreover, the finite-time control techniques have demonstrated better robustness and disturbance rejection properties. Based on proposed fractional controllers, the finite-time stability and the settling time can be guaranteed and computed [37][38][39][40][41][42][43][44][45][46][47][48][49]. However, few studies have focused on the finite-time suppression chaos of permanent magnet synchronous motor (PMSM) systems.…”

Section: Introductionmentioning

confidence: 99%