Disturbance estimator and smith predictor-based active rejection of stick–slip vibrations in drill-string systems

Wu, Min; Cheng, Jun; Lu, Chengda; Chen, Luefeng; Chen, Xin; Cao, Weihua

doi:10.1080/00207721.2020.1744046

Cited by 22 publications

(15 citation statements)

References 39 publications

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“…In addition to that, the nominal system (7) is reconstructed into the following form by the incorporation of time‐varying input delay into account:

\begin{align} {\overset{ζ}{true}}_{w i} false(t false) & = A_{w} ζ_{w i} false(t false) + B_{w} f false(ζ_{w i} false(t false) false) + C_{w} û_{i} false(t prefix- d false(t false) false) + a true \sum_{j = 1}^{n} G_{i j} H ζ_{w i} false(t false), \\ z_{w i} false(t false) & = D_{w} ζ_{w i} false(t false), \end{align}

where

ζ_{w i} (t)

and

z_{w i} (t)

represent the state and output vector of the nominal system with input delay and

A_{w}

B_{w}

C_{w}

, and

D_{w}

denote the given coefficient matrices with suitable dimensions. It should be mentioned that in the existing literatures (see References 29‐32), the ESP‐based approach is widely used to compensate and reject the delay phenomenon in control input channel. As a follow‐up, the state space representation of ESP is given by

\begin{align} {\overset{ζ}{true}}_{e i} false(t false) ... \end{align}

…”

Section: Problem Formulationmentioning

confidence: 99%

“…[24][25][26][27][28] In particular, the Smith predictor (SP)-based control strategy have procured a greater attention among research communities for various dynamical systems with input delays. [29][30][31] Although, it cannot achieve productive performances ahead the time-varying input delays. Thus, the SP approach is developed as an extended Smith predictor (ESP) approach by incorporating the main feedback path in the conventional SP block.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the considerable amount of works addressed the stabilization and synchronization problem of dynamical systems with input delays in the literatures 24‐28 . In particular, the Smith predictor (SP)‐based control strategy have procured a greater attention among research communities for various dynamical systems with input delays 29‐31 . Although, it cannot achieve productive performances ahead the time‐varying input delays.…”

Section: Introductionmentioning

confidence: 99%

“…Prompted by the earlier discussions, this study portraits the robust asymptotic synchronization problem of CDNs with nonlinearities, parametric uncertainties, disturbances, and time‐varying input delay. Precisely, inspired by the works in References 29‐32, an ESP‐based dynamic output feedback control law is designed for CDNs to fulfill the above mentioned research gap. Especially, an output of the IEIDE is incorporated in control protocol to enhance the control performance since it rejects the effect of unpredictable factors without any prior knowledge of them.…”

Section: Introductionmentioning

confidence: 99%

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Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Sakthivel

Harshavarthini

Kwon

2022

Intl J Robust & Nonlinear

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The synchronization problem of complex dynamical networks (CDNs) with nonlinearities, uncertainties, time-varying input delays and disturbances is investigated in this article. The key objective of this work is to estimate both the matched and mismatched disturbance signals, which is accomplished by making use of improved-equivalent-input-disturbance estimator (IEIDE) technique. Subsequently, the impact of time-delays in control input can be effectively handled by means of extended Smith predictor (ESP) approach. To be precise, an unified dynamic output feedback control protocol is developed for dealing the disturbances and input delays by combining IEIDE and ESP strategy for nonlinear CDNs. Moreover, Lyapunov stability theory is utilized for the resultant closed-loop system to deduce the linear matrix inequality (LMI)-based sufficient stability conditions, which ensure the asymptotic synchronization of the considered system. In addition, the unpredictable disturbance signals are estimated with high precision based on the proposed control design. More precisely, the desired gain matrices are obtained by solving the LMI-based conditions. In the final analysis, the simulation results of the Lur'e system are provided to examine the practicability and efficacy of the developed control strategy.

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“…In addition to that, the nominal system (7) is reconstructed into the following form by the incorporation of time‐varying input delay into account:

\begin{align} {\overset{ζ}{true}}_{w i} false(t false) & = A_{w} ζ_{w i} false(t false) + B_{w} f false(ζ_{w i} false(t false) false) + C_{w} û_{i} false(t prefix- d false(t false) false) + a true \sum_{j = 1}^{n} G_{i j} H ζ_{w i} false(t false), \\ z_{w i} false(t false) & = D_{w} ζ_{w i} false(t false), \end{align}

where

ζ_{w i} (t)

and

z_{w i} (t)

represent the state and output vector of the nominal system with input delay and

A_{w}

B_{w}

C_{w}

, and

D_{w}

\begin{align} {\overset{ζ}{true}}_{e i} false(t false) ... \end{align}

…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Sakthivel

Harshavarthini

Kwon

2022

Intl J Robust & Nonlinear

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show abstract

“…Over the years, the most eminent researchers tackled this problem through several control solutions, for example, integer and fractional order PID control [6], model predictive control [7], Smith predictor [5,8,9], communication disturbance observer [10,11], sliding mode control [12], and switching control [13].…”

Section: Introductionmentioning

confidence: 99%

Vibration Control of a Two-Link Flexible Robot Arm with Time Delay through the Robust Receptance Method

et al. 2021

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This paper proposes a method for active vibration control to a two-link flexible robot arm in the presence of time delay, by means of robust pole placement. The issue is of practical and theoretical interest as time delay in vibration control can cause instability if not properly taken into account in the controller design. The controller design is performed through the receptance method to exactly assign a pair of pole and to achieve a given stability margin for ensuring robustness to uncertainty. The desired stability margin is achieved by solving an optimization problem based on the Nyquist stability criterion. The method is applied on a laboratory testbed that mimic a typical flexible robotic system employed for pick-and-place applications. The linearization assumption about an equilibrium configuration leads to the identification of the local receptances, holding for infinitesimal displacements about it, and hence applying the proposed control design technique. Nonlinear terms, due to the finite displacements, uncertainty, disturbances, and the coarse encoder quantization, are effectively handled by embedding the robustness requirement into the design. The experimental results, and the consistence with the numerical expectations, demonstrate the method effectiveness and ease of application.

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Repetitive control design for switched neutral systems with input time‐delay

Mohanapriya

Sakthivel

Karimi

et al. 2023

Adaptive Control & Signal

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The design of tracking control problem and compensation of disturbance for switched neutral systems with multiple time-delays and external disturbances are addressed in this paper. In this regard, a modified repetitive control technique based on the Matausek-Micic modified Smith predictor approach is being implemented, which assures the exact tracking performance and disturbance attenuation with high precision in the considered system. To be specific, the integration of transfer function with modified Smith predictor block not only provides the accurate compensation of input time-delays but also ensures the exact estimation and attenuation of external disturbances effectually. Furthermore, according to Lyapunov stability approach combined with average-dwell-time technique, a group of adequate conditions is derived in the form of matrix inequalities. Simultaneously, by solving the established matrix inequalities using available software the controller gain matrices are calculated.Ultimately, the simulation results of three numerical examples are presented to validate the efficiency and dominance of the suggested control procedure.

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Disturbance estimator and smith predictor-based active rejection of stick–slip vibrations in drill-string systems

Cited by 22 publications

References 39 publications

Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Vibration Control of a Two-Link Flexible Robot Arm with Time Delay through the Robust Receptance Method

Repetitive control design for switched neutral systems with input time‐delay

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