Adaptive Fixed-Time Fast Terminal Sliding Mode Control for Chaotic Oscillation in Power System

Ma, Chunrui; Wang, Faxin; Zhi-jie, LI; Wang, Yunlong; Liu, Chuangzhen; Wu, Wenbei; Cheng, Yuzhou

doi:10.1155/2018/5819428

Cited by 8 publications

(12 citation statements)

References 39 publications

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“…When the real control input of system (9) is designed as in (13) and taking constraint (14) into account, then system (9) can be rewritten as…”

Section: Mathematical Basismentioning

confidence: 99%

“…In recent years, various nonlinear control strategies have been applied to chaos control in power systems, such as feedback control [9], passive control [10], time-delay feedback control [9], quasi-sliding mode control based on relay characteristic function [11], variable speed synergetic control [12], and adaptive fixed-time fast terminal sliding mode control [13]. However, all aforementioned methods are aimed at a simple two-dimensional power system model.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

Wang

Liu

et al. 2020

Mathematical Problems in Engineering

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The main purpose of the paper is to control chaotic oscillation in a complex seven-dimensional power system model. Firstly, in view that there are many assumptions in the design process of existing adaptive controllers, an adaptive sliding mode control scheme is proposed for the controlled system based on equivalence principle by combining fixed-time control and adaptive control with sliding mode control. The prominent advantage of the proposed adaptive sliding mode control scheme lies in that its design process breaks through many existing assumption conditions. Then, chaotic oscillation behavior of a seven-dimensional power system is analyzed by using bifurcation and phase diagrams, and the proposed strategy is adopted to control chaotic oscillation in the power system. Finally, the effectiveness and robustness of the designed adaptive sliding mode chaos controllers are verified by simulation.

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“…When the real control input of system (9) is designed as in (13) and taking constraint (14) into account, then system (9) can be rewritten as…”

Section: Mathematical Basismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

Wang

Liu

et al. 2020

Mathematical Problems in Engineering

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“…According to the sliding mode control theory, the sliding mode manifold and its derivative must satisfy ( ) = 0 and( ) = 0 (29) By substituting (26) without combination harmonic excitation into (28), one can havė ( ) = ( ) + ( )…”

Section: Design Of Adaptive Nonsingular Terminal Sliding Modementioning

confidence: 99%

“…The fixed-time stability of nonlinear systems with uncertain parameters, unmodeled dynamics, and unknown disturbances has been a well-established area [26][27][28]. Ma et al [29] proposed an adaptive fixed-time fast terminal sliding mode control method for the second-order chaotic oscillation power system. In second-order uncertain dynamical system, Boukattay et al [30] presented a robust and adaptive nonsingular fast terminal sliding mode (RANFTSM) control strategy for the tracking problem.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis and Stabilization of Wind Turbine Drivetrain via Adaptive Fixed‐Time Terminal Sliding Mode Controller

Yang

2019

Mathematical Problems in Engineering

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In order to study the stability of the wind turbine drivetrain in further depth, we present a nonlinear relative rotation mathematical model considering the nonlinear time-varying stiffness and the nonlinear damping force. Meanwhile, the nonlinear dynamics of the model under combined harmonic excitation are studied in detail. And some interesting dynamic phenomena are observed visually. Furthermore, to suppress chaotic oscillation within bounded time independent of initial conditions, a novel adaptive fixed-time terminal sliding mode controller is proposed. The stability of the final closed loop system is guaranteed according to Lyapunov stability theory. Rigorous mathematical analyses are used to prove the validity of the presented approach. Finally, compared with the existing finite-time stability method, simulation results are given to highlight the effectiveness and superiority of the proposed method and verify the theoretical analyses.

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“…Many non-linear control methods have been used to control chaotic oscillation in power systems. For example, feedback control (Chen et al, 2005), quasi-sliding mode control based on the relay characteristic function (Min et al, 2014), equivalent fast terminal fuzzy sliding mode control (Ni et al, 2013), variable speed synergetic control (Ni et al, 2014), adaptive fixed-time fast terminal sliding mode control (Ma et al, 2018), etc. However, all aforementioned control methods are aimed at a single machine infinite bus power system model, which is a simple two-dimensional model; then, the proposed control methods are mostly confined to the two-dimensional model.…”

Section: Introductionmentioning

confidence: 99%

Chaos control in six-dimensional power system via adaptive synergetic approach

Wang

Liu

et al. 2020

Journal of Vibration and Control

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In view that researchers only control some low-dimensional chaotic power system models, this paper aims at controlling chaos in a complex six-dimensional power system model. By introducing the dynamic model of an energy storage device and static synchronous compensator, an adaptive synergetic control scheme is proposed for the model to suppress its chaotic oscillation. Since the designed controller will inevitably contain complex derivative terms of a controlled power system according to the conventional controller design process, a novel adaptive synergetic control scheme is proposed. The presented adaptive controller for the chaotic power system can completely suppress its chaotic oscillation. The prominent advantages of the proposed control scheme are that it can avoid complex derivative terms of the controlled system and can avoid chattering as in the sliding mode control method. Simulations validate the effectiveness and robustness of the proposed scheme.

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Adaptive Fixed-Time Fast Terminal Sliding Mode Control for Chaotic Oscillation in Power System

Cited by 8 publications

References 39 publications

Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

Dynamical Analysis and Stabilization of Wind Turbine Drivetrain via Adaptive Fixed‐Time Terminal Sliding Mode Controller

Chaos control in six-dimensional power system via adaptive synergetic approach

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