Robust Repetitive Control and Disturbance Rejection Based on Two‐Dimensional Model and Equivalent‐Input‐Disturbance Approach

Yu, Pan; Wu, Min; She, Jinhua; Qi, Lei

doi:10.1002/asjc.1287

Cited by 23 publications

(12 citation statements)

References 22 publications

(35 reference statements)

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“…Different from the conventional MRC, the filtering in the developed MRC begins from the first period to relax stability condition. Moreover, an extra repetitive loop is introduced, which brings in a relaxing variable to system design, thus increasing the flexibility of system design.…”

Section: Problem Descriptionmentioning

confidence: 99%

Robust disturbance rejection for repetitive control systems with time‐varying nonlinearities

Liu

She

et al. 2019

Intl J Robust & Nonlinear

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This paper presents a disturbance-rejection method for a modified repetitive control system with a nonlinearity. Taking advantage of stable inversion, an improved equivalent-input-disturbance (EID) estimator that is more relaxed for system design is developed to estimate and cancel out the influence of the disturbance and nonlinearity in the low-frequency domain. The high-frequency influence is filtered owning to the low-pass nature of the linear part of the closed-loop system. To avoid the restrictive commutative condition and choose a Lyapunov function of a more general form, a new design algorithm, which takes into account the relation between the feedback control gains and the observer and improved EID estimator gains, is developed for the nonlinear system. Furthermore, comparisons with the generalized extended-state observer (GESO) and conventional EID methods are conducted. A clear relation between the developed estimator and the GESO is also clarified. Finally, simulations show the effectiveness and the advantage of the developed method.

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Section: Problem Descriptionmentioning

confidence: 99%

Robust disturbance rejection for repetitive control systems with time‐varying nonlinearities

Liu

She

et al. 2019

Intl J Robust & Nonlinear

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“…Repetitive control, which builds on the well-known internal model principle, provides a specialized control scheme for asymptotic tracking and rejection of a periodic exogenous disturbance without steady-state error. Repetitive control has been successfully applied in real industrial applications in the past decades, for example, harmonic suppression of circulating current [28], suppression for exogenous disturbances and uncertainties in the dynamics of a plant [29], and a fast tool servo system [30]. Simultaneously, a repetitive control system can be applied in a plug-in style and has a simple structure formulated by an N-delay positive-feedback loop.…”

Section: Smc Design For the Pmsmmentioning

confidence: 99%

“…current [28], suppression for exogenous disturbances and uncertainties in the dynamics of a plant [29], and a fast tool servo system [30]. Simultaneously, a repetitive control system can be applied in a plug-in style and has a simple structure formulated by an N-delay positive-feedback loop.…”

Section: Smc Design For the Pmsmmentioning

confidence: 99%

Improved Sliding Mode Control for Permanent Magnet Synchronous Motor Speed Regulation System

Qian

Pan

et al. 2018

Applied Sciences

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Due to advantages such as high speed, high accuracy, low maintenance and high reliability, permanent magnet synchronous motor (PMSM) servo systems have been employed in many fields. In some cases, for example, speed fluctuations caused by load mutation would restrict the control stability, thereby limiting the usefulness of PMSM in high-precision applications. The speed regulation problem of PMSM servo control systems is discussed in this paper. A sliding mode disturbance control is developed in the vector control system to improve tracking performance of the PMSM system in order to suppress the speed fluctuations. The integration of sliding mode control and the proportional plus integral (PI) control can improve the performance of the closed-loop system and attenuate disturbances to a great extent. The proposed method can effectively improve the robustness and response speed of the system. Simulation and experimental analyses are conducted to demonstrate the superior properties of the proposed control method.

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“…Consider the 2D uncertain system (6) with the assumptions (1-3). Suppose that the sliding surface is given by (13)…”

Section: B Adaptative Repetitive Integral Sliding Mode Control Lawmentioning

confidence: 99%

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

Toujeni¹,

Mnasri²,

Gasmi³

2018

ijacsa

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This paper proposed an integral sliding mode control scheme based on repetitive control for uncertain repetitive processes with the presence of matched uncertainties, external disturbances and norm-bounded nonlinearities. A new method based on the combination of repetitive control and sliding mode approach is studied in order to use the robustness sensibility property of the sliding mode control to matched uncertainties and disturbances and to cancel gradually tracking error for periodic processes. A sufficient condition of the existence of sliding mode is studied based on basic repetitive control and a sliding mode controller is synthesized through linear matrix inequalities, which guarantees the stability along the periods of the controlled closed-loop process and the reachability of the sliding surface is ensured. Then, an adaptive integral sliding mode controller is synthesized to improve performances of the proposed control scheme. The effectiveness of the proposed controlled design schemes is proved by the use of a third order uncertain mechanical system and the simulation results using the new approaches give good performances.

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Robust Repetitive Control and Disturbance Rejection Based on Two‐Dimensional Model and Equivalent‐Input‐Disturbance Approach

Cited by 23 publications

References 22 publications

Robust disturbance rejection for repetitive control systems with time‐varying nonlinearities

Robust disturbance rejection for repetitive control systems with time‐varying nonlinearities

Improved Sliding Mode Control for Permanent Magnet Synchronous Motor Speed Regulation System

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

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