Active disturbance rejection for time-varying state-delay systems based on equivalent-input-disturbance approach

Li, Meiliu; She, Jinhua; Zhang, Chuan‐Ke; Liu, Zhentao; Wu, Min; Ohyama, Yasuhiro

doi:10.1016/j.isatra.2020.09.001

Cited by 32 publications

(9 citation statements)

References 30 publications

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“…On the other hand, an important problem in the stabilization and tracking control is the construction of an appropriate feedback controller for the considered system. In this connection, various control methods such as adaptive control, repetitive control, resilient control, and proportional-integral (PI) control are proposed for different types of dynamical systems in the literature [13][14][15][16]. To be specific, quantized static output feedback tracking control has been designed in Li et al [13] for discrete-time fuzzy-model-based networked control systems under an asynchronous event-triggered mechanism.…”

Section: Introductionmentioning

confidence: 99%

Robust tracking control for uncertain fuzzy systems with time delay and external disturbances

Vijayakumar

Sakthivel

Aravindh

et al. 2023

Asian Journal of Control

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In this article, robust tracking and disturbance rejection problem for Takagi–Sugeno fuzzy systems with time delay and external disturbances are discussed. Specifically, proportional‐integral controller with an enhanced equivalent‐input‐disturbance technique is constructed to force the output trajectories to track the bounded reference input signal even in the presence of external disturbances. Further, the resulting fuzzy control system can be represented as an augmented system with state delay and uncertainties and the output tracking problem is transformed into stabilization problem of the augmented system. In the stabilization analysis, the considered fuzzy system does not share the same membership functions with the proposed control. Moreover, the delay‐dependent stabilization criteria for the addressed fuzzy system are presented in the form of linear matrix inequalities by the virtue of augmented Lyapunov–Krasovskii functional. To be specific, the symmetric matrices involved in the Lyapunov–Krasovskii functional need not be positive definite. Ultimately, three numerical examples are offered to support the validity of the established theoretical results.

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Section: Introductionmentioning

confidence: 99%

Robust tracking control for uncertain fuzzy systems with time delay and external disturbances

Vijayakumar

Sakthivel

Aravindh

et al. 2023

Asian Journal of Control

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“…Disturbance is a common factor that has negative effects on system performance and even creates a pathway for system instability. It is noted that, equivalent input disturbance (EID), 22 extended state observer (ESO), 23 uncertain and disturbance estimator (UDE), 24 disturbance observer, 25 and so on are the disturbance rejection methods addressed in the literatures to estimate the unknown disturbances. In Reference 22, the authors invoked EID approach to attenuate the disturbance impact for time‐varying state‐delay systems.…”

Section: Introductionmentioning

confidence: 99%

“…It is noted that, equivalent input disturbance (EID), 22 extended state observer (ESO), 23 uncertain and disturbance estimator (UDE), 24 disturbance observer, 25 and so on are the disturbance rejection methods addressed in the literatures to estimate the unknown disturbances. In Reference 22, the authors invoked EID approach to attenuate the disturbance impact for time‐varying state‐delay systems. To deal with the effects of disturbance on multi‐agent systems, in Reference 23, the ESO approach is developed and as a result both the disturbance rejection and state estimation are accomplished.…”

Section: Introductionmentioning

confidence: 99%

Tracking control design for periodic piecewise polynomial systems with multiple disturbances

Sakthivel

Annalakshmi

Kwon

2022

Intl J Robust & Nonlinear

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The present study examines the state tracking problem of periodic piecewise polynomial systems subject to multiple disturbances and actuator faults. Specifically, the fundamental period is partitioned into several subintervals and the piecewise matrix polynomial functions can be put together to approximate the dynamics over each period, which are characterized by Bernstein polynomials. Moreover, the system dynamics contains both matched and mismatched disturbances, wherein the matched disturbance is unknown and resulted from some exogenous system, and mismatched case is norm‐bounded. The control law is configured by integrating the output of the disturbance observer with state‐feedback reliable control law. Particularly, a disturbance observer is designed to estimate the disturbance caused by an exogenous system. Besides, by considering time‐varying polynomial Lyapunov function and making use of Bernstein polynomial approach, a set of sufficient conditions is derived which are expressed in terms of linear matrix inequalities. Further, by virtue of MATLAB software the desired controller and observer gain matrices can be computed. In conclusion, the potential and significance of the theoretical findings are confirmed by presenting a numerical example with simulation results.

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“…21 An adaptive neural-network PET control problem for a class of switched nonlinear systems was investigated in the work of Li et al 22 Multisource disturbances widely exist in control systems. There are mainly two kinds of sources, that is, deterministic disturbance (see the works of Li et al 23 and Lou et al 24 ) and stochastic disturbances (see the works of Zong et al 25,26 ). The presence of these disturbances can degrade the system performance, such as unexpected external load variations and noise.…”

Section: Introductionmentioning

confidence: 99%

Periodic event‐triggered control with multisource disturbances and quantized states

Zhao

Zheng

Ahn

et al. 2021

Intl J Robust & Nonlinear

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This study investigates periodic event-triggered (PET) output-feedback control method for nonlinear systems with quantized states and multisource disturbances. Based on a PET extended state observer, a novel PET composite control method is proposed. It not only can deal with the deterministic and stochastic disturbances but also can handle the quantization in the data transmission process. A PET extended state observer is used to simultaneously estimate the states and the disturbances. Moreover, both the static and dynamic event-triggered conditions are considered. Simulations and an experiment on a direct current brush motor are conducted to validate the proposed approach.

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Active disturbance rejection for time-varying state-delay systems based on equivalent-input-disturbance approach

Cited by 32 publications

References 30 publications

Robust tracking control for uncertain fuzzy systems with time delay and external disturbances

Robust tracking control for uncertain fuzzy systems with time delay and external disturbances

Tracking control design for periodic piecewise polynomial systems with multiple disturbances

Periodic event‐triggered control with multisource disturbances and quantized states

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