Disturbance observer-based elegant anti-disturbance saturation control for a class of stochastic systems

Dong, Lewei; Wei, Xinjiang; Hu, Xin; Zhang, Huifeng; Han, Jian

doi:10.1080/00207179.2019.1566643

Cited by 19 publications

(18 citation statements)

References 40 publications

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“…In addition, the wind turbine system work long term in the coastal, wilderness, plateau and other places, and exposure to harsh environmental conditions. Hence, the system disturbances usually include contain the vibration of wind turbine, electromagnetic disturbance, harmonic noise, environmental disturbance, and so on, which are typical multiple heterogeneous disturbances proposed in this article.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…As a key antidisturbance control approach, the disturbance observer‐based control (DOBC) established in the late 1980s is an approved robust control scheme against various disturbances in many applications . In recent years, the DOBC works have been extended to composite hierarchical antidisturbance control (CHADC) works for a large class of systems with multiple disturbances .…”

Section: Introductionmentioning

confidence: 99%

“…As a key antidisturbance control approach, the disturbance observer-based control (DOBC) established in the late 1980s is an approved robust control scheme against various disturbances in many applications. [12][13][14][15][16][17] In recent years, the DOBC works have been extended to composite hierarchical antidisturbance control (CHADC) works for a large class of systems with multiple disturbances. 1,2 The CHADC scheme can reject the inner loop disturbance and attenuate the outer loop ones separately and simultaneously, which improves antidisturbance control accuracy of the systems.…”

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confidence: 99%

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Elegant antidisturbance fault‐tolerant control for stochastic systems with multiple heterogeneous disturbances

Dong

Wei

et al. 2020

Intl J Robust & Nonlinear

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Summary In this article, the elegant antidisturbance fault‐tolerant control (EADFTC) problem is studied for a class of stochastic systems in the simultaneous presence of multiple heterogeneous disturbances and time‐varying faults. The multiple heterogeneous disturbances include white noise, norm bounded uncertain disturbances and uncertain modeled disturbances with multiple nonlinearities and unknown amplitudes, frequencies, and phases. The time‐varying fault signals are caused by lose efficacy of actuator. To online estimate uncertain modeled disturbances and time‐varying faults, a novel composite observer structure consisting of the adaptive nonlinear disturbance observer and the fault diagnosis observer is constructed. The novel EADFTC strategy is proposed by integrating composite observer structure with adaptive disturbance observer‐based control theory and H∞ technology. It is proved that all the signals of closed‐loop system are asymptotically bounded in mean square under the circumstances of multiple heterogeneous disturbances and time‐varying faults occur simultaneously. Finally, the effectiveness and availability of proposed strategy are demonstrated by means of the numerical simulation and a doubly fed induction generators system simulation, respectively.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Elegant antidisturbance fault‐tolerant control for stochastic systems with multiple heterogeneous disturbances

Dong

Wei

et al. 2020

Intl J Robust & Nonlinear

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“…The wind turbine systems work long term in the coastal, wilderness, plateau, and other places and exposure to harsh environmental conditions. Hence, the system disturbances usually include the vibration of wind turbine, electromagnetic disturbance, harmonic noise, environmental disturbance, and so on, 13,[37][38][39][40] which are typical multiple heterogeneous disturbances proposed in this paper.…”

Section: Application Example and Simulationmentioning

confidence: 99%

Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances

Wei

Dong

Zhang

et al. 2019

Intl J Robust & Nonlinear

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Summary Antidisturbance control problem is discussed for stochastic systems with multiple heterogeneous disturbances, which include the white noise and the disturbance with unknown frequencies and amplitudes. An adaptive disturbance observer is designed to estimate the disturbance with unknown frequencies and amplitudes, based on which, an adaptive disturbance observer‐based control scheme is proposed by combining adaptive technique and linear matrix inequality method. It is proved that the closed‐loop system is asymptotically bounded in mean square when multiple heterogeneous disturbances exist simultaneously and that the equilibrium is globally asymptotically stable in probability as additive disturbance disappears. Finally, two simulation examples, including a wind turbine system, are given to show the effectiveness of the proposed scheme.

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“…Linear and nonlinear exosystems have been widely exploited to model uncertainties as well as sustained perturbations, especially within applicative engineering frameworks such as missile systems, robotics, and wind turbines (one can refer to [1] and references therein, where an observer-based approach is exploited to estimate the unknown exosystem). Explicit noises in the exosystem dynamics could further enhance the nonlinearities of the system, and they have been considered in the recent literature for an exosystem with linear drift [1].…”

Section: Introductionmentioning

confidence: 99%

A Stochastic Optimal Regulator for a Class of Nonlinear Systems

Mavelli

Palombo

Palumbo

2019

Mathematical Problems in Engineering

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This work investigates an optimal control problem for a class of stochastic differential bilinear systems, affected by a persistent disturbance provided by a nonlinear stochastic exogenous system (nonlinear drift and multiplicative state noise). The optimal control problem aims at minimizing the average value of a standard quadratic-cost functional on a finite horizon. It has been supposed that neither the state of the system nor the state of the exosystem is directly measurable (incomplete information case). The approach is based on the Carleman embedding, which allows to approximate the nonlinear stochastic exosystem in the form of a bilinear system (linear drift and multiplicative noise) with respect to an extended state that includes the state Kronecker powers up to a chosen degree. This way the stochastic optimal control problem may be restated in a bilinear setting and the optimal solution is provided among all the affine transformations of the measurements. The present work is a nontrivial extension of previous work of the authors, where the Carleman approach was exploited in a framework where only additive noises had been conceived for the state and for the exosystem. Numerical simulations support theoretical results by showing the improvements in the regulator performances by increasing the order of the approximation.

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Disturbance observer-based elegant anti-disturbance saturation control for a class of stochastic systems

Cited by 19 publications

References 40 publications

Elegant antidisturbance fault‐tolerant control for stochastic systems with multiple heterogeneous disturbances

Elegant antidisturbance fault‐tolerant control for stochastic systems with multiple heterogeneous disturbances

Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances

A Stochastic Optimal Regulator for a Class of Nonlinear Systems

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