Neuro-Fuzzy-Based Adaptive Dynamic Surface Control for Fractional-Order Nonlinear Strict-Feedback Systems With Input Constraint

Song, Shuai; Zhang, Baoyong; Song, Xiaona; Zhang, Zhengqiang

doi:10.1109/tsmc.2019.2933359

Cited by 81 publications

(54 citation statements)

References 36 publications

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“…For example, PID control [1], robust control [2], optimal control [3], H ∞ control [4], sliding model control [5], adaptive control [6], and backstepping control [7]. Since there are usually uncertain and unknown functions in the system under consideration, neural networks (NNs) control [8][9][10][11], FLSs control [12][13][14][15][16], and neuro-fuzzy control [17] are introduced to deal with these uncertainties. Fuzzy logic system is based on fuzzy logic and imitates human's fuzzy comprehensive judgment and reasoning to deal with problems that are difficult to solve by conventional methods.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy fault‐tolerant control of seat active suspension systems with actuator fault

Zhang

Liu

2021

IET Control Theory & Appl

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This paper proposes an adaptive fuzzy fault-tolerant control method about seat active suspension systems. The significant indexes of seat active suspension system are ride comfort and safety. Considering the actuator failure of seat active suspension system, the problems of passengers' ride comfort and safety are better solved. Two adaptive laws are designed to solve the two unknown coefficients in the actuator fault of the seat active suspension system. The fuzzy logic systems are applied to approximate the unknown terms in the system, and an adaptive fuzzy fault-tolerant controller is designed by using the backstepping method. In the closed-loop systems, all signals are bounded which is proved through Lyapunov stability theory. Finally, two different road surface disturbances are considered in the simulation, which proves the effectiveness of the proposed method. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy fault‐tolerant control of seat active suspension systems with actuator fault

Zhang

Liu

2021

IET Control Theory & Appl

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“…Fuzzy sliding mode theory combined with Fractional-order theory was proposed for uncertain Fractional-order nonlinear systems in [32]. In [33], [34], dynamic surface control strategies combined with the Fractional-order theory were designed for Fractional-order nonlinear systems. By combining the traditional PID sliding surface with the Fractional-order theory, the linear Fractionalorder PID (LFOPID) sliding surface can be obtained.…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Super Twisting Nonlinear Fractional Order PID Sliding Mode Control of Permanent Magnet Synchronous Motor Speed Regulation System Based on Extended State Observer

et al. 2020

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In this article, a novel adaptive super-twisting nonlinear Fractional-order PID sliding mode control (ASTNLFOPIDSMC) strategy using extended state observer (ESO) for the speed operation of permanent magnet synchronous motor (PMSM) is proposed. Firstly, this paper proposes a novel nonlinear Fractional-order PID (NLFOPID) sliding surface with nonlinear proportion term, nonlinear integral term and nonlinear differential term. Secondly, the novel NLFOPID switching manifold and an adaptive supertwisting reaching law (ASTRL) are applied to obtain excellent control performance in the sliding mode phase and the reaching phase, respectively. The novel ASTNLFOPIDSMC strategy is constructed by the ASTRL and the NLFOPID sliding surface. Due to the utilization of NLFOPID switching manifold, the characteristics of fast convergence, good robustness and small steady state error can be ensured in the sliding mode phase. Due to the utilization of ASTRL, the chattering phenomenon can be weakened, and the characteristics of high accuracy and strong robustness can be obtained in the reaching phase. Further, an ESO is designed to achieve dynamic feedback compensation for external disturbance. Furthermore, Lyapunov stability theorem and Fractional calculus are used to prove the stability of the system. Finally, comparison results under different controllers demonstrate that the proposed control strategy not only achieves good stability and dynamic properties, but also is robust to external disturbance. INDEX TERMS Adaptive super-twisting nonlinear Fractional-order PID sliding mode control (ASTNL-FOPIDSMC) strategy, extended state observer (ESO), permanent magnet synchronous motor (PMSM), nonlinear Fractional-order PID (NLFOPID) sliding surface, adaptive super-twisting reaching law (ASTRL).

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“…Some new results for Lyapunov stability theory are provided in [1][2][3][4][5]. With the development of fractionalorder calculus and fractional-order stability theory, the control systems in many multi-disciplinary fields have been accurately described by fractal differential equations, and many sliding-mode control methods for fractal chaotic systems are gradually proposed [6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…Song et al investigate adaptive back-stepping hybrid fuzzy sliding mode control for uncertain fractional-order nonlinear systems based on a finite-time scheme [20]. Song et al [2,20] study the neuro-fuzzy-based adaptive dynamic surface control for fractional-order nonlinear strict-feedback systems with input constraint [2]. Based on the principle of proportional-integral (PI) sliding-mode synchronization, Mao derives sufficient conditions for sliding-mode synchronization of entangled chaotic systems [21] and designs the PI sliding-mode surface and controller for the entangled chaotic systems [22].…”

Section: Introductionmentioning

confidence: 99%

Two methods for terminal sliding‐mode synchronization of fractional‐order nonlinear chaotic systems

Bei-xing

2020

Asian Journal of Control

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The self-adaptive terminal sliding mode synchronization of fractional-order nonlinear chaotic systems is investigated under uncertainty and external disturbance. A novel non-singular terminal sliding surface is proposed and proved to be stable. Based on Lyapunov stability theory, a sliding mode control law is proposed to ensure the occurrence of sliding-mode motion. In addition, two methods of the controller and the self-adaptive rules are used to establish the sliding mode function, and two sufficient conditions for achieving self-adaptive terminal sliding-mode synchronization of fractional-order uncertain nonlinear systems are identified. The results show that designing appropriate control law and sliding-mode surface can achieve self-adaptive terminal sliding mode synchronization of the fractional high-order systems with uncertainty. The effectiveness and applicability of the sliding mode control technique are validated through numerical simulation.

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Neuro-Fuzzy-Based Adaptive Dynamic Surface Control for Fractional-Order Nonlinear Strict-Feedback Systems With Input Constraint

Cited by 81 publications

References 36 publications

Adaptive fuzzy fault‐tolerant control of seat active suspension systems with actuator fault

Adaptive fuzzy fault‐tolerant control of seat active suspension systems with actuator fault

An Adaptive Super Twisting Nonlinear Fractional Order PID Sliding Mode Control of Permanent Magnet Synchronous Motor Speed Regulation System Based on Extended State Observer

Two methods for terminal sliding‐mode synchronization of fractional‐order nonlinear chaotic systems

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