Disturbance-Observer-Based Hysteresis Compensation for Piezoelectric Actuators

Yi, Jingang; Chang, Susan W.; Shen, Yantao

doi:10.1109/tmech.2009.2023986

Cited by 166 publications

(19 citation statements)

References 22 publications

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“…A control scheme with such a disturbance observer is shown in Figure 11. This scheme has been shown to be effective in both step [140] and high frequency tracking (200 Hz sinusoidal) [141] operations. …”

Section: Disturbance Observer Based Schemesmentioning

confidence: 99%

A Survey of Modeling and Control of Piezoelectric Actuators

Peng¹,

Xiongbiao²

2013

MME

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Piezoelectric actuators (PEAs) have been widely used in micro-and nanopositioning applications due to their fine resolution, fast responses, and large actuating forces. However, the existence of nonlinearities such as hysteresis makes modeling and control of PEAs challenging. This paper reviews the recent achievements in modeling and control of piezoelectric actuators. Specifically, various methods for modeling linear and nonlinear behaviors of PEAs, including vibration dynamics, hysteresis, and creep, are examined; and the issues involved are identified. In the control of PEAs as applied to positioning, a review of various control schemes of both model-based and non-model-based is presented along with their limitations. The challenges associated with the control problem are also discussed. This paper is concluded with the emerging issues identified in modeling and control of PEAs for future research.

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Section: Disturbance Observer Based Schemesmentioning

confidence: 99%

A Survey of Modeling and Control of Piezoelectric Actuators

Peng¹,

Xiongbiao²

2013

MME

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“…To facilitate the controller design, a dynamic model is required for description of the PSA-actuated system. In modeling the PSA-actuated system, the reasonable model structure is a linear dynamic model G(s) preceded by a rateindependent hysteresis nonlinearity Γ [ • ] [6,17,20,[27][28][29], which is shown in figure 1. The reader may refer to [6] for a detailed discussion and a short review of dynamic modeling approaches for PSA positioning systems.…”

Section: Hysteresis Compensationmentioning

confidence: 99%

High-precision control of piezoelectric nanopositioning stages using hysteresis compensator and disturbance observer

Gu¹,

Zhu²,

Su³

2014

Smart Mater. Struct.

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This paper proposes a novel high-performance control scheme with hysteresis compensator and disturbance observer for high-precision motion control of a nanopositioning stage driven by a piezoelectric stack actuator (PSA). In the developed control scheme, a real-time inverse hysteresis compensator (IHC) with the modified Prandtl-Ishlinskii model is firstly designed to compensate for the asymmetric hysteresis nonlinearity of the PSA. Due to the imperfect compensation, the dynamics behaviors of the PSA-actuated stage with the IHC can be treated as a linear dynamic system plus a lumped disturbance term. Owing to the unknown nature of this lumped disturbance term, a disturbance observer (DOB) is used as a means for disturbance rejection. With the DOB, a tracking controller is finally designed and implemented to stabilize the position error. To verify the proposed control scheme, a real-time experimental platform with a PSA-actuated nanopositioning stage is built, and extensive experimental tests are performed. The comparative experimental results demonstrate the effectiveness and improved performance of the developed control approach in terms of the maximum-value errors, root-mean-squarevalue errors and hysteresis compensation.

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“…1,4 Both periodic reference tracking and disturbance rejection are required in the control system design. According to the internal model principle (IMP), 25 a periodic model with the same period as the reference signals is necessary to eliminate the tracking error gradually and the previous ADR methods [16][17][18][19][20][21][22] would be failed to perform such scanning task due to the lack of the internal model. Repetitive control (RC) [26][27][28][29] provides a good implementation of IMP through time delay feedback.…”

Section: Introductionmentioning

confidence: 99%

Periodic tracking for piezo‐actuated displacement stage based on disturbance rejection proportional integral derivative and repetitive control

Nie

Zhang

et al. 2021

Adv Control Appl

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Piezo-actuated displacement stage is often used to perform periodic scanning tasks, but the conventional control schemes may not satisfactorily track periodic reference signals. Our solution is a disturbance rejection proportional-integral-derivative (DR-PID)-based repetitive control (RC) scheme in which the hysteresis nonlinearity with the same period of reference input can be well suppressed by RC law. Stability criterions for the closed-loop system are developed based on small-gain theorem. A simple and effective design algorithm is obtained based on the stability conditions, such that DR-PID and RC can be designed separately. Finally, the validation and superiority of the proposed method are demonstrated by simulation studies.

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Disturbance-Observer-Based Hysteresis Compensation for Piezoelectric Actuators

Cited by 166 publications

References 22 publications

A Survey of Modeling and Control of Piezoelectric Actuators

A Survey of Modeling and Control of Piezoelectric Actuators

High-precision control of piezoelectric nanopositioning stages using hysteresis compensator and disturbance observer

Periodic tracking for piezo‐actuated displacement stage based on disturbance rejection proportional integral derivative and repetitive control

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