A fuzzy adaptive tracking control for a class of uncertain strick-feedback nonlinear systems with dead-zone input

Yang, Zhongjun; Zhang, Huaguang

doi:10.1016/j.neucom.2017.06.060

Cited by 24 publications

(15 citation statements)

References 40 publications

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“…The dead-zone models were used in literature [43][44][45]. Besides, we know that b(t) is a bounded function.…”

Section: Controller Design and Stability Analysis 31 Problem Descripmentioning

confidence: 99%

Adaptive neural network synchronization for uncertain strick-feedback chaotic systems subject to dead-zone input

2018

Adv Differ Equ

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In this paper, an adaptive neural network (NN) synchronization controller is designed for two identical strict-feedback chaotic systems (SFCSs) subject to dead-zone input. The dead-zone models together with the system uncertainties are approximated by NNs. The dynamic surface control (DSC) approach is applied in the synchronization controller design, and the traditional problem of "explosion of complexity" that usually occurs in the backstepping design can be avoided. The proposed synchronization method guarantees the synchronization errors tend to an arbitrarily small region. Finally, this paper presents two simulation examples to confirm the effectiveness and the robustness of the proposed control method.

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“…The dead-zone models were used in literature [43][44][45]. Besides, we know that b(t) is a bounded function.…”

Section: Controller Design and Stability Analysis 31 Problem Descripmentioning

confidence: 99%

Adaptive neural network synchronization for uncertain strick-feedback chaotic systems subject to dead-zone input

2018

Adv Differ Equ

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“…The typical characteristic of fractional-order coupled systems (FOCSs), which are different from classical dynamic systems, is that they depend on their entire states [3]. In the past few decades, many important results and methods have been reported for the stability of FOCSs and classical dynamic systems [4][5][6][7][8][9][10][11][12][13][14]. Coupled systems on networks have been extensively used to model ecosystems, social networks, and global economic markets.…”

Section: Introductionmentioning

confidence: 99%

Global Mittag-Leffler stability for fractional-order coupled systems on network without strong connectedness

Meng

Kao

Karimi

et al. 2020

Sci. China Inf. Sci.

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This study investigates the global Mittag-Leffler stability (MLS) problem of the equilibrium point for a new fractional-order coupled system (FOCS) on a network without strong connectedness. In particular, an integer-order coupled system is extended into the FOCS on a complex network without strong connectedness. Based on the theory of asymptotically autonomous systems and graph theory, sufficient conditions are derived to ensure the existence, uniqueness, and global MLS of the solutions of this FOCS on a network. Finally, a numerical example is provided to demonstrate the validity and potential of the proposed method for studying the MLS of FOCSs.

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“…Consequently, GFHM is more suitable for approximating unknown nonlinear functions. [20][21][22] It is worth noting that the adaptive method can ensure the stability of the control system, and the tracking errors are restricted in a residual set. Nevertheless, the size of the residual set is generally unknown, and the transient and/or steady-state performance cannot be prescribed.…”

Section: Introductionmentioning

confidence: 99%

“…It does not demand premise plant structure, meanwhile its weights can be optimized through adaptive learning. Consequently, GFHM is more suitable for approximating unknown nonlinear functions 20‐22 …”

Section: Introductionmentioning

confidence: 99%

Adaptive prescribed performance tracking control for uncertain strict‐feedback Multiple Inputs and Multiple Outputs nonlinear systems based on generalized fuzzy hyperbolic model

Yang

ZongXue‐Jun

WangGuo‐Gang

2020

Adaptive Control & Signal

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This article proposes an adaptive prescribed performance tracking control methodology for a class of strict-feedback Multiple Inputs and Multiple Outputs nonlinear systems. A combination of backstepping technique and the generalized fuzzy hyperbolic model was used in recursive design of adaptive controller. A novel performance constraint function guarantees the tracking control performance. Lyapunov stability analysis proves that the designed controller can ensure the predefined transient and all signals within the closed-loop systems are semiglobally uniformly ultimately bounded. In the end, simulation results illustrate the validity of the proposed approach.

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A fuzzy adaptive tracking control for a class of uncertain strick-feedback nonlinear systems with dead-zone input

Cited by 24 publications

References 40 publications

Adaptive neural network synchronization for uncertain strick-feedback chaotic systems subject to dead-zone input

Adaptive neural network synchronization for uncertain strick-feedback chaotic systems subject to dead-zone input

Global Mittag-Leffler stability for fractional-order coupled systems on network without strong connectedness

Adaptive prescribed performance tracking control for uncertain strict‐feedback Multiple Inputs and Multiple Outputs nonlinear systems based on generalized fuzzy hyperbolic model

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