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

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

doi:10.1002/rnc.4683

Cited by 37 publications

(26 citation statements)

References 40 publications

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“…Motivated by state space Equation and the analysis of the influence of disturbances on wind turbines in Reference , the mathematical model of DFIG system with multiple heterogeneous disturbances and time‐varying faults can be written as follows

\begin{align} \overset{x}{true} false(t false) = A x false(t false) + B false(u_{Γ} false(t false) + D_{0} false(t false) false) + H_{0} D_{1} false(t false) + B_{1} σ_{1} false(t false) + B_{2} x false(t false) σ_{2} false(t false) . \end{align}

…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Assumption In many cases (such as wind turbine, reaction wheels, and so on), the uncertain modeled disturbance D 0 ( t ) represents a class of signals with multiple nonlinearities and unknown amplitudes, unknown frequencies and unknown phases, which can be formulated by the following nonlinear exogenous system

\begin{align} \overset{ζ}{true} false(t false) = G ζ false(t false) + F f_{0} false(ζ false(t false) false), D_{0} false(t false) = C ζ false(t false), \end{align}

where

ζ \in R^{r}

is the state vector,

G \in R^{r \times r}

is unknown and has all its eigenvalues on the imaginary axis,

F \in R^{r \times r}

is corresponding given matrix,

C \in R^{p \times r}

is unknown constant vector. The Borel measurable and bounded nonlinear functions f 0 (ζ( t ))=[ f 1 (ζ( t ), f 2 (ζ( t ),…, f i (ζ( t )] T , i = r .…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Disturbances with various sources and different types widespread in complex engineering systems, which have a great negative impact on the performance of system, or even lead to instability. Thus, the studies of antidisturbance control for systems with multiple disturbances have received much attention . In addition, the occurrence of actuator faults could cause undesirable effect on robustness performance and then the stability of the controlled system.…”

Section: Introductionmentioning

confidence: 99%

“…However, it is difficult to determine unknown model parameters by reason of the unpredictability of environment. In addition, the disturbances with unknown parameters are usually accompanied by multiple nonlinear dynamics due to complex dynamic environments, the current methods to deal with nonlinear dynamics existing in modeled disturbance are burdensome . Moreover, in the case of multiple heterogeneous disturbances exist in controlled plants, the occurrence of actuator faults could give an adverse influence in antidisturbance performance and then further increasing the difficulty of ensuring system stability.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the studies of antidisturbance control for systems with multiple disturbances have received much attention. [1][2][3][4][5][6] In addition, the occurrence of actuator faults could cause undesirable effect on robustness performance and then the stability of the controlled system. The research of fault detection and diagnosis as well as fault-tolerant control (FTC) has been one of the critical aspects in improving the reliability of practical processes.…”

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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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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\begin{align} \overset{x}{true} false(t false) = A x false(t false) + B false(u_{Γ} false(t false) + D_{0} false(t false) false) + H_{0} D_{1} false(t false) + B_{1} σ_{1} false(t false) + B_{2} x false(t false) σ_{2} false(t false) . \end{align}

…”

Section: Simulation Resultsmentioning

confidence: 99%

\begin{align} \overset{ζ}{true} false(t false) = G ζ false(t false) + F f_{0} false(ζ false(t false) false), D_{0} false(t false) = C ζ false(t false), \end{align}

where

ζ \in R^{r}

is the state vector,

G \in R^{r \times r}

is unknown and has all its eigenvalues on the imaginary axis,

F \in R^{r \times r}

is corresponding given matrix,

C \in R^{p \times r}

is unknown constant vector. The Borel measurable and bounded nonlinear functions f 0 (ζ( t ))=[ f 1 (ζ( t ), f 2 (ζ( t ),…, f i (ζ( t )] T , i = r .…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

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

Dong

Wei

et al. 2020

Intl J Robust & Nonlinear

Self Cite

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show abstract

Extended disturbance observer for nonlinear system with time‐varying disturbance gain

Kim

Choi

2022

Adaptive Control & Signal

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In control engineering, the disturbance is a major problem that deteriorates system robustness. To address this problem, a disturbance observer (DOB) has been proposed and developed. In particular, a general method of estimating high-order disturbance, expressed as a time series expansion, was studied (H-DOB). However, systems to which H-DOB are applicable are limited to those in which disturbance gain is constant. This constraint degrades the generality of H-DOB because applicable systems are limited. Therefore, by expanding to a system with a time-varying disturbance gain, we propose a more general H-DOB.The DOB proposed in this paper redesigns the dynamics of the observer based on the structure of the H-DOB. The proposed DOB is applicable even if the system is highly nonlinear. This paper verifies the convergence of the proposed DOB through proof. Using this proof, the same characteristic error dynamics can be obtained, so the same design method can be applied. The simulation for the verification of the proposed method performs disturbance estimation of the extension system. This simulation proves that, compared to H-DOB, the proposed DOB has good disturbance estimation performance.

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Adaptive disturbance estimation and cancelation for ships under thruster saturation

Wei

Han

et al. 2020

Intl J Robust & Nonlinear

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SummaryThis work addresses the problem of disturbance estimation and cancelation for ships with ocean disturbances and modeling uncertainties under thruster saturation effects. The ocean disturbances are expressed as the multiple sinusoidal disturbances with unknown frequencies, amplitudes, and phases. By means of a parametric exogenous system and a canonical model with unknown disturbances being inputs, the ocean disturbances are represented as the multivariate regression model with unavailable regressors and regression parameters. An observer is employed to provide the regressor estimation, such that the disturbance estimation and cancelation are converted to the adaptive control problem. The robust control term with the adaptive technique attenuates the modeling uncertainties. The thruster saturation effects are reduced using the state vectors from the auxiliary dynamic filter to online correct the control errors. The ship disturbance cancelation controller is derived via the adaptive backstepping. The closed‐loop tracking system is guaranteed to be uniformly ultimately stable and the ship's position and heading navigate along with desired trajectories. The proposed adaptive control scheme is validated by simulations with comparisons on a 1:70 scaled model ship CyberShip II in different cases.

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

Cited by 37 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

Extended disturbance observer for nonlinear system with time‐varying disturbance gain

Adaptive disturbance estimation and cancelation for ships under thruster saturation

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