# Piezoelectric actuator

A piezoelectric actuator is a device that converts electrical energy into mechanical displacement, force, or movement through the inverse piezoelectric effect, in which an applied electric field produces strain in a piezoelectric material such as lead zirconate titanate (PZT).<sup>[1](https://doi.org/10.1007/s11465-023-0772-0)</sup><sup> • </sup><sup>[2](https://www.nec.com/en/global/techrep/journal/g06/n05/pdf/t060519.pdf?nid=gihoEN022)</sup> Compared with electromagnetic drives, piezoelectric actuators need no rotating mechanism, position to subnanometer level, respond on a microsecond scale, deliver output force typically of several kilonewtons, dissipate little power, and come as small solid bodies that are convenient to design into machines.<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup>

| Key fact | Detail |
|---|---|
| Operating principle | Inverse (converse) piezoelectric effect: an applied electric field induces mechanical strain in a piezoelectric crystal or ceramic<sup>[1](https://doi.org/10.1007/s11465-023-0772-0)</sup><sup> • </sup><sup>[4](https://www.aerotech.com/wp-content/uploads/2020/09/QF46Z.pdf)</sup> |
| Precision and speed | Subnanometer positioning resolution; response on the microsecond scale<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup> |
| Output force | Typically about several kilonewtons<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup> |
| Stack travel | Extension strain of around 0.1% of actuator length, giving travel ranges of 10 to 200 micrometers for typical ceramic lengths<sup>[5](https://technav.ieee.org/topic/nanopositioning/)</sup> |
| Dominant material | PZT-based ceramics occupy the largest share of the piezoelectric ceramics market; PZT d\(_{33}\) is about 600 pC/N<sup>[6](https://doi.org/10.1146/ANNUREV-MATSCI-070616-124023)</sup><sup> • </sup><sup>[7](https://bulletin.ceramics.org/article/from-discovery-to-design-evolution-of-piezoceramic-fabrication-methods-for-application-specific-performance/)</sup> |
| Main nonlinearity | Open-loop hysteresis error of 10–15% of full range, rising to 35% as input frequency increases<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup> |
| Applications | Atomic force microscopes, adaptive optics, machine tools, micromanipulators, micropumps, microvalves, synchrotron imaging systems<sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup> |

## Principle and materials

The inverse piezoelectric effect was derived from thermodynamic principles in 1881 by [Gabriel Lippmann](https://www.edgepedia.org/gabriel-lippmann).<sup>[4](https://www.aerotech.com/wp-content/uploads/2020/09/QF46Z.pdf)</sup> When an electric field is applied to a piezoelectric crystal, it creates mechanical stress in the structural lattice, which translates into movement at micrometer or nanometer scale.<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup>

**Material history.** Ferroelectric ceramics, the active materials of most modern actuators, originated in the early 1940s with the discovery that ferroelectricity explained the unusually high dielectric constant of ceramic barium titanate capacitors.<sup>[9](https://ceramics.onlinelibrary.wiley.com/doi/10.1111/j.1151-2916.1999.tb01840.x)</sup> By the 1950s, lead-based piezoelectric materials, typically lead zirconate titanate, became widely used because of their high piezoelectric coefficients, with a d\(_{33}\) of about 600 pC/N for PZT.<sup>[7](https://bulletin.ceramics.org/article/from-discovery-to-design-evolution-of-piezoceramic-fabrication-methods-for-application-specific-performance/)</sup> The discovery of PZT is attributed to Sawaguchi in 1953; it is a complete solid solution between the ferroelectric perovskite PbTiO\(_3\) and the antiferroelectric perovskite PbZrO\(_3\), and its large, relatively temperature-independent piezoelectric factors near the [morphotropic phase boundary](https://www.edgepedia.org/morphotropic-phase-boundary) (composition where two crystal phases meet, maximizing piezoelectric response) at x = 0.48 underpin its position.<sup>[6](https://doi.org/10.1146/ANNUREV-MATSCI-070616-124023)</sup> Later high-displacement actuator developments include Moonie and RAINBOW (reduced and internally biased oxide wafer) ceramics.<sup>[9](https://ceramics.onlinelibrary.wiley.com/doi/10.1111/j.1151-2916.1999.tb01840.x)</sup>

## Types and stroke extension

A single piezoelectric layer strains only a fraction of a percent, so a large part of actuator design is devoted to multiplying that motion. The development path runs from single-layer materials using the converse piezoelectric effect, to multilayer piezo-stack actuators, amplified actuators, non-resonant stepping actuators, and resonant ultrasonic actuators, each step aimed at expanding output displacement.<sup>[10](https://www.sciencedirect.com/science/article/pii/S0888327019300457)</sup>

**Stack actuators** are the direct form: multilayer ceramic stacks whose extension strain is around 0.1% of their length, translating to travel ranges of 10 to 200 micrometers for typical ceramic lengths.<sup>[5](https://technav.ieee.org/topic/nanopositioning/)</sup> Flexure mechanisms, which use elastic bending of thin solid elements rather than sliding contacts, amplify actuator displacement while eliminating the friction and backlash that would corrupt nanometer-level positioning.<sup>[5](https://technav.ieee.org/topic/nanopositioning/)</sup>

**Stepping actuators** trade speed for long stroke. By replacing the clamping mechanism, the [inchworm actuator](https://www.edgepedia.org/inchworm-actuator), seal actuator, and inertial actuator can transform into one another, and the clamping mechanisms are classified into intermittent and continuous types.<sup>[10](https://www.sciencedirect.com/science/article/pii/S0888327019300457)</sup> Resonant ultrasonic motors form the other long-stroke family, and piezoelectric ultrasonic motors are noted for fast response, compactness, and simple configuration.<sup>[11](https://arxiv.org/abs/2409.04006)</sup>

## Nonlinearity: hysteresis, creep, and vibration

The actuator's own dynamics limit its accuracy. Under open-loop voltage control, hysteresis produces an error of 10–15% of the full travel range, and with increasing input signal frequency the error can reach 35%.<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup> Creep is the slow drift of the output over time after a commanded move; it can be ignored in most cases involving short durations.<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup><sup> • </sup><sup>[12](https://mdpi-res.com/bookfiles/book/672/Piezoelectric_MEMS.pdf?v=1742004064)</sup> A badly damped system also produces undesirable vibration, and a step voltage input excites a resonant response lasting a few milliseconds before creep takes over.<sup>[3](https://journals.sagepub.com/doi/10.5772/59099)</sup><sup> • </sup><sup>[13](https://www.mdpi.com/2227-7080/11/6/155)</sup> [Hysteresis](https://www.edgepedia.org/hysteresis) has a greater impact on the actuator's nonlinearity than creep.<sup>[14](https://www.mdpi.com/2076-0825/12/12/442)</sup>

**Compensation.** Two broad strategies exist. The first changes how the actuator is driven: driving with a charge input instead of a voltage input minimizes hysteresis and creep to a large extent, and inserting a capacitor in series with a voltage-driven actuator substantially reduces both.<sup>[15](https://digital.library.adelaide.edu.au/items/18a9951f-e303-46e8-8b12-7d1a8a549d75)</sup> The second models and cancels the nonlinearity in control. Hysteresis models used for this purpose include the Prandtl-Ishlinskii and Bouc-Wen models; a review of compensation strategies inferred that the Prandtl-Ishlinskii hysteresis model can provide better performance, that feedback control reduces hysteresis nonlinearity, and that fuzzy logic control can minimize low-amplitude vibration.<sup>[13](https://www.mdpi.com/2227-7080/11/6/155)</sup><sup> • </sup><sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup> In nanopositioning systems, when feedforward compensation grounded in Preisach or Bouc-Wen hysteresis models is paired with integral feedback control, the residual error over the entire range of travel shrinks to just a few nanometers.<sup>[5](https://technav.ieee.org/topic/nanopositioning/)</sup> No single generalized control solution suits all piezoelectric actuators; appropriate strategies must be matched to the actuator to reduce tracking error, position error, and the nonlinear characteristics.<sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup>

## Applications

Piezoelectric actuators realize high-precision motion with fractional force and torque in both linear and rotary joints of micro-systems.<sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup> Documented uses include atomic force microscopes, adaptive optics, machine tools, aviation systems, internal combustion engines, micromanipulators, and synchrotron-based imaging systems,<sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup> as well as autofocus mechanisms, lenses, micro pumps, micro valves, micro jet dispensers, tool feed mechanisms, and vibration isolation systems.<sup>[8](https://doi.org/10.1016%2Fj.ymssp.2020.106634)</sup><sup> • </sup><sup>[13](https://www.mdpi.com/2227-7080/11/6/155)</sup> In nanopositioning, the systems combine a compliant mechanical structure with an actuator and a position sensor inside a feedback control loop, and PZT is the dominant material because its coupling coefficient and stiffness match the requirements of semiconductor lithography, scanning microscopy, and optical alignment.<sup>[5](https://technav.ieee.org/topic/nanopositioning/)</sup> Because they are immune to electromagnetic interference, piezoelectric ultrasonic motors can operate inside MRI scanners, where conventional electromagnetic motors are problematic.<sup>[11](https://arxiv.org/abs/2409.04006)</sup>

## Materials trends

Conventional PZT contains over 60 wt% toxic lead oxide, and ecological concern has driven global regulatory mandates for lead-free alternatives.<sup>[16](https://www.nature.com/articles/s41467-026-72278-y)</sup> Potassium-sodium-niobate (KNN)-based ceramics are among the most researched lead-free candidates, but their drawback is reduced responsiveness and a limited temperature range over which high d\(_{33}\) is maintained.<sup>[16](https://www.nature.com/articles/s41467-026-72278-y)</sup><sup> • </sup><sup>[17](https://arxiv.org/abs/2502.20250)</sup> A 2026 multilayer co-fired KNN architecture raised the effective d\(_{33}\) from 165 pC/N in bulk ceramics to 1568 pC/N and cut the variation of piezoelectric response from room temperature to 120 °C from 36% to 9%, by using residual thermal stresses from the internal electrodes to stabilize the lower-symmetry phases and restrain domain switching.<sup>[16](https://www.nature.com/articles/s41467-026-72278-y)</sup> Research on lead-free materials also targets flexible and biocompatible formats, such as bismuth sodium titanate (BNT) and polymer composites, for biomedical and wearable electronics.<sup>[18](https://www.sciencedirect.com/science/article/pii/S2542504825000156)</sup>

## References

1. [Zhou X, Wu S, Wang X, et al. (2024). Review on piezoelectric actuators: materials, classifications, applications, and recent trends. Frontiers of Mechanical Engineering 19:6.](https://doi.org/10.1007/s11465-023-0772-0)
2. [NEC Technical Review: Piezoelectric actuators and the inverse piezoelectric effect.](https://www.nec.com/en/global/techrep/journal/g06/n05/pdf/t060519.pdf?nid=gihoEN022)
3. [Chi Z, Xu Q (2014). Recent Advances in the Control of Piezoelectric Actuators.](https://journals.sagepub.com/doi/10.5772/59099)
4. [Aerotech QF46Z Piezo Engineering Tutorial.](https://www.aerotech.com/wp-content/uploads/2020/09/QF46Z.pdf)
5. [IEEE Technology Navigator: Nanopositioning.](https://technav.ieee.org/topic/nanopositioning/)
6. [High-Performance Piezoelectric Crystals, Ceramics, and Films. Annual Review of Materials Research.](https://doi.org/10.1146/ANNUREV-MATSCI-070616-124023)
7. [From discovery to design: Evolution of piezoceramic fabrication methods. American Ceramic Society Bulletin.](https://bulletin.ceramics.org/article/from-discovery-to-design-evolution-of-piezoceramic-fabrication-methods-for-application-specific-performance/)
8. [Sabarianand DV, Karthikeyan P, Muthuramalingam T (2020). A review on control strategies for compensation of hysteresis and creep on piezoelectric actuators based micro systems. Mechanical Systems and Signal Processing 140:106634.](https://doi.org/10.1016%2Fj.ymssp.2020.106634)
9. [Haertling GH (1999). Ferroelectric Ceramics: History and Technology. Journal of the American Ceramic Society 82(4):797-818.](https://ceramics.onlinelibrary.wiley.com/doi/10.1111/j.1151-2916.1999.tb01840.x)
10. [Wang S, Rong W, Wang L, Xie H, Sun L, Mills JK (2019). A survey of piezoelectric actuators with long working stroke in recent years. Mechanical Systems and Signal Processing 123:591-605.](https://www.sciencedirect.com/science/article/pii/S0888327019300457)
11. [Design and Characterization of MRI-compatible Plastic Ultrasonic Motor. arXiv:2409.04006.](https://arxiv.org/abs/2409.04006)
12. [Piezoelectric MEMS (MDPI book chapter on hysteresis and creep).](https://mdpi-res.com/bookfiles/book/672/Piezoelectric_MEMS.pdf?v=1742004064)
13. [Application of Modeling and Control Approaches of Piezoelectric Actuators: A Review. Technologies 11(6):155 (2023).](https://www.mdpi.com/2227-7080/11/6/155)
14. [Review on the Nonlinear Modeling of Hysteresis in Piezoelectric Ceramic Actuators. Actuators 12(12):442 (2023).](https://www.mdpi.com/2076-0825/12/12/442)
15. [Minase J, Lu T-F, Cazzolato B, Grainger S (2010). A review of voltage, charge and capacitor insertion methods for driving piezoelectric actuators. Precision Engineering 34(4):692-700.](https://digital.library.adelaide.edu.au/items/18a9951f-e303-46e8-8b12-7d1a8a549d75)
16. [Dong Y, Ding Y, Zhang Y, et al. (2026). Multilayer-induced stress manipulation for superior piezoelectric performance and temperature stability in lead-free piezoceramics. Nature Communications 17:5770.](https://www.nature.com/articles/s41467-026-72278-y)
17. [Akshayveer A, Buroni FC, Melnik R, Rodriguez-Tembleque L, Saez A (2025). Environment-friendly technologies with lead-free piezoelectric materials. arXiv:2502.20250.](https://arxiv.org/abs/2502.20250)
18. [Advances in lead-free flexible piezoelectric materials for energy and evolving applications. Advanced Industrial and Engineering Polymer Research 8(3):341-386 (2025).](https://www.sciencedirect.com/science/article/pii/S2542504825000156)

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*Topic: Encyclopedia › Technology and the built world › Engineering and manufacturing › Robotics and automation › Robot components and hardware › Actuators and artificial muscles*

*Initially written Oct 15, 2026*

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