Elegant anti-disturbance control for discrete-time stochastic systems with nonlinearity and multiple disturbances

Wei, Xinjiang; Sun, Shixiang

doi:10.1080/00207179.2017.1291996

Cited by 19 publications

(4 citation statements)

References 32 publications

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“…In a complex environment, disturbances of system include measured noise, external environment disturbance, change of the system structure and modeling error (Han et al, 2018; Hu et al, 2019; Jiao et al, 2019; Wei and Sun, 2018; Zhang et al, 2015). Since various types of disturbances always effect the control accuracy of the system, the problem of anti-disturbance control for systems with multiple disturbances has been a hot topic in the control field (Liu et al, 2018; Sun et al, 2018; Wei et al, 2019, 2016).…”

Section: Introductionmentioning

confidence: 99%

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

You

Wei

Han

et al. 2020

Transactions of the Institute of Measurement and Control

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There are a large number of non-harmonic disturbances generated by nonlinear exogenous systems in realistic engineering. The current disturbance observer is not applicable for estimating the non-harmonic disturbance with unknown nonlinear dynamics, thus greatly reducing the accuracy of the controller. This paper addresses a class of stochastic systems with multiple heterogeneous disturbances including white noise and non-harmonic disturbance with unknown smooth nonlinear function, which can be approximated by fuzzy logic systems. Based on the approximation of the unknown nonlinear function, an adaptive disturbance observer (ADO) is constructed to estimate non-harmonic disturbance. Combining disturbance observer-based control with fuzzy control, an elegant anti-disturbance control (EADC) scheme is proposed such that the composite system achieves asymptotically bounded in mean square. Simulation examples show that the state responses of the system gradually approache [Formula: see text] from divergence, indicating that the effectiveness of the controller is satisfactory. In addition, the anti-disturbance control accuracy of EADC approximately improves [Formula: see text] times compared with [Formula: see text] control. The simulation results demonstrate the feasibility and effectiveness of the proposed scheme.

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Section: Introductionmentioning

confidence: 99%

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

You

Wei

Han

et al. 2020

Transactions of the Institute of Measurement and Control

Self Cite

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“…On the other hand, the discrete-time stochastic systems play an important role in signal analysis and processing. A class of discrete-time stochastic systems is considered which include nonlinearity and multiple disturbances (Wei and Sun, 2018). A stochastic disturbance observer is designed to estimate the disturbance with partially known information, then an elegant anti-disturbance control (EADC) scheme is proposed such that the disturbances can be rejected and attenuated.…”

Section: Introductionmentioning

confidence: 99%

“…The disturbance includes two parts: one is the non-harmonic disturbance that is generated by an exosystem with a bounded nonlinear function, the other one is a sequence of random vectors including additive disturbance and multiplicative disturbance. Compared with Wei and Sun (2018), the range of disturbance has been extended.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear disturbance observer-based control for a class of discrete-time stochastic systems with multiple heterogenous disturbances

Zhao

Wei

Zhang

et al. 2019

Transactions of the Institute of Measurement and Control

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In this paper, the nonlinear disturbance observer-based control (NDOBC) scheme is proposed for a class of discrete-time stochastic systems with multiple heterogenous disturbances, which include the non-harmonic disturbance and a sequence of random vectors. A nonlinear disturbance observer (NDO) is designed to estimate the non-harmonic disturbance, then the NDOBC scheme is proposed by combining DOBC with [Formula: see text] control, such that the composite system can achieves asymptotically mean-square bounded and asymptotically mean-square stable in different conditions. Finally, simulation results show the effectiveness of the proposed method.

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“…In Wei et al (2016), the authors investigated the disturbance observer-based disturbance attenuation control problems for stochastic systems with multiple disturbances. An elegant anti-disturbance control approach was studied for discrete-time stochastic systems subject to nonlinearity and multiple disturbances (Wei and Sun, 2018). The authors designed an adaptive fuzzy controller to deal with control problem for stochastic nonlinear switched systems (Li et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

H_/H_∞ fault detection filter design for discrete-time stochastic systems with limited communication

Ning

Wang

2019

Transactions of the Institute of Measurement and Control

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This paper is concerned with the fault detection (FD) problem for discrete-time stochastic systems with limited communication. A filter structure is proposed to construct the residual model for fault detection. For the limited network resources, a novel event-triggered strategy is employed to decrease the amount of data that is transmitted from the sensor to the filter. With the consideration of stochastic model and limited network resources, a novel event-based method is designed to ensure the residual system is stochastically stable and satisfies the desired fault sensitivity level and disturbance attenuation level. Compared with the traditional FD method, the proposed design strategy can not only achieve the desired fault detection performance, but also save the limited network resources. The effectiveness of design strategy is verified by two simulation examples.

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Elegant anti-disturbance control for discrete-time stochastic systems with nonlinearity and multiple disturbances

Cited by 19 publications

References 32 publications

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

Nonlinear disturbance observer-based control for a class of discrete-time stochastic systems with multiple heterogenous disturbances

H_/H_∞ fault detection filter design for discrete-time stochastic systems with limited communication

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Elegant anti-disturbance control for discrete-time stochastic systems with nonlinearity and multiple disturbances

Cited by 19 publications

References 32 publications

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems

Nonlinear disturbance observer-based control for a class of discrete-time stochastic systems with multiple heterogenous disturbances

H_/H∞ fault detection filter design for discrete-time stochastic systems with limited communication

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H_/H_∞ fault detection filter design for discrete-time stochastic systems with limited communication