Finite-time mixed outer synchronization of complex networks with time-varying delay and unknown parameters

Jing, Taiyan; Chen, Fangqi; Li, Quanhong

doi:10.1016/j.apm.2015.03.051

Cited by 29 publications

(16 citation statements)

References 27 publications

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“…Remark 5. Noticing Equation 19, it is obvious that the stopping time t s of the sliding motion is inversely proportional to the values of c i parameters. This means that a larger c i results in a shorter stopping time t s , and therefore, a faster controller is obtained.…”

Section: Control Designmentioning

confidence: 99%

Adaptive control of complex systems with unknown dynamics and input constraint: Applied to a chaotic elastic beam

Aghababa

2017

Adaptive Control & Signal

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Owing to the limitations of system identification and modeling techniques, there is usually some unknown dynamics in the mathematical models of the complex systems. In addition, external perturbations can affect the chaotic systems' responses and may destroy the desired control purpose. Consideration of such uncertain dynamics and external fluctuations in control applications is important in research and practice. On the other hand, because of the limited operation of control actuators, most of the practical implementations of control systems are forced with some input constraints. Therefore, this paper investigates the control problem of uncertain autonomous and/or nonautonomous complex chaotic systems in the presence of input saturation. The upper bounds of the unknown dynamics, modeling uncertainties, external perturbations, and the parameters of the saturation function are assumed to be unknown in advance. To make a fast control response, an adaptive nonsingular terminal variable structure controller is proposed to assure the finite-time stability of the equilibrium states. Rigorous stability analysis is performed to prove the correct performance of the designed control algorithm. Numerical simulations on the unified system and a chaotic elastic beam model are developed to demonstrate the usefulness of the introduced adaptive control strategy. It is worth to notice that the derived adaptive nonsmooth sliding mode approach is general and it can be easily adopted for controlling of a wide class of uncertain MIMO nonlinear systems. KEYWORDSadaptive variable structure control, complex system, finite settling time, input constraint, nonautonomous system Int J Adapt Control Signal Process. 2018;32:213-228. wileyonlinelibrary.com/journal/acs 214 AGHABABAperformance of the overall closed-loop system and even can destabilize the process. For example, consider mechanical system intrinsic stresses concentrated by a chaotic motion. Such condition not only can result in strain fractures of the system's mechanical parts but also can decrease machine power, engender noise and disturbance, and enlarge friction. Generally speaking, any form of unwanted oscillation may yield to machine performance degradation, more energy spending, noise generation, reliability, and efficiency decrease, damaging mechanical parts of the system and human discomfort. 2 Therefore, to avoid terrible failures of components and materials of the system, to reduce the lifetime of the machine, to modify the oscillation such that the system state is conveyed in a suitable level, and to avoid human injuries, some alternative control mechanisms should be adopted to compensate and suppress unnecessary chaotic behaviors.Up to now, a wide variety of control algorithms, such as adaptive control, 3 sliding mode control, 4 robust control, 5 fuzzy logic method, 6 fault tolerant control, 7 impulsive control, 8 backstepping design, 9 and neural networks, 10 have been addressed for chaos control and synchronization. However, most of the previous literatures either h...

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Section: Control Designmentioning

confidence: 99%

Adaptive control of complex systems with unknown dynamics and input constraint: Applied to a chaotic elastic beam

Aghababa

2017

Adaptive Control & Signal

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“…For example, Li and Cao investigated the finite‐time synchronization of hybrid coupled networks . Jing et al examined the finite‐time mixed outer synchronization of chaotic neural networks with time‐varying delay and unknown parameters . However, these studies are based on dynamic models of ordinary differential equations (ODE).…”

Section: Introductionmentioning

confidence: 99%

Finite‐time synchronization of a class of N‐coupled complex partial differential systems with time‐varying delay

Xia

Luo

Zhou³

2019

Math Methods in App Sciences

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This study examines finite-time synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The problem of finite-time synchronization for coupled drive-response PDSs with timevarying delay is similarly considered. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. We construct a feedback controller to achieve finite-time synchronization. Sufficient conditions are derived by using the Lyapunov-Krasoviskii stability approach and inequalities technology to ensure that the proposed networks achieve synchronization in finite time. The proposed systems demonstrate extensive application. Finally, an example is used to verify the theoretical results.

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“…Besides, features such as the elimination of the disturbance and robustness against variations of the model, uncertainties, un-modelled dynamics can be better reflected using finite time control strategies [25]. In [26][27][28][29][30][31][32][33][34] the finite time synchronisation of the complex network is ensured. Tan and Tian in [26] have derived a control strategy to guarantee the finite time synchronisation of the complex network, composed of different dimension non-identical nodes.…”

Section: Introductionmentioning

confidence: 99%

“…In [30], the outer synchronisation of the complex network in a finite time by considering unknown parameters and time-varying delay is investigated by employing an adaptive control scheme. Finite time synchronisation of discontinuous nodes of the complex network has been achieved in [31][32][33] using error-feedback control.…”

Section: Introductionmentioning

confidence: 99%

Robust fixed‐time synchronisation of non‐identical nodes in complex networks under input non‐linearities

Shirkavand

Pourgholi

Yazdizadeh

2019

IET Control Theory & Applications

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Finite-time mixed outer synchronization of complex networks with time-varying delay and unknown parameters

Cited by 29 publications

References 27 publications

Adaptive control of complex systems with unknown dynamics and input constraint: Applied to a chaotic elastic beam

Adaptive control of complex systems with unknown dynamics and input constraint: Applied to a chaotic elastic beam

Finite‐time synchronization of a class of N‐coupled complex partial differential systems with time‐varying delay

Robust fixed‐time synchronisation of non‐identical nodes in complex networks under input non‐linearities

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