Compensation of Complex Hysteresis and Creep Effects in Piezoelectrically Actuated Systems —A New Preisach Modeling Approach

Kuhnen, Klaus; Krejčı́, Pavel

doi:10.1109/tac.2009.2012984

Cited by 129 publications

(77 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…5, PI control, SMC, and RAC will be designed in this section for a piezo-actuated stage (5). Figure 8 shows the control scheme of the closed-loop system.…”

Section: Controller Developmentmentioning

confidence: 99%

“…where a 0 and b 0 are the system parameters in (5). It is necessary to note that the following practical assumption is required to develop the controllers.…”

Section: B Smcmentioning

confidence: 99%

“…It has been shown that a mathematical model could facilitate the controller design for hysteresis compensation. 5 In this sense, the foremost task is to develop a hysteresis model to characterize the hysteresis nonlinearity. Then, a feedforward inverse compensator can be designed to cancel the hysteresis nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An experimental comparison of proportional-integral, sliding mode, and robust adaptive control for piezo-actuated nanopositioning stages

Zhu

2014

Review of Scientific Instruments

View full text Add to dashboard Cite

This paper presents a comparative study of the proportional-integral (PI) control, sliding mode control (SMC), and robust adaptive control (RAC) for applications to piezo-actuated nanopositioning stages without the inverse hysteresis construction. For a fair comparison, the control parameters of the SMC and RAC are selected on the basis of the well-tuned parameters of the PI controller under same desired trajectories and sampling frequencies. The comparative results show that the RAC improves the tracking performance by 17 and 37 times than the PI controller in terms of the maximum tracking error e(m) and the root mean tracking error e(rms), respectively, while the RAC improves the tracking performance by 7 and 9 times than the SMC in terms of e(m) and e(rms), respectively.

show abstract

“…5, PI control, SMC, and RAC will be designed in this section for a piezo-actuated stage (5). Figure 8 shows the control scheme of the closed-loop system.…”

Section: Controller Developmentmentioning

confidence: 99%

“…where a 0 and b 0 are the system parameters in (5). It is necessary to note that the following practical assumption is required to develop the controllers.…”

Section: B Smcmentioning

confidence: 99%

See 1 more Smart Citation

An experimental comparison of proportional-integral, sliding mode, and robust adaptive control for piezo-actuated nanopositioning stages

Zhu

2014

Review of Scientific Instruments

View full text Add to dashboard Cite

show abstract

“…For example, the Preisach model describes a hysteretic curve by defining a family of elementary hysterons, each with different switching properties with respect to the input, and integrating them against a density function to compute the output. Another popular example is the Prandtl-Ishlinskii model, which has the key feature that an analytic inverse operator is known for certain operating conditions [2], [9], [10], thus avoiding the need for iterative techniques when compensating for hysteresis in these regimes. The lack of a physical basis for these types of models frees them from the additional constraints that more physically-oriented models may add, which accounts for their computational efficiency and suitability for implementation in real-time control applications.…”

Section: Model Developmentmentioning

confidence: 99%

Sliding mode control based on an inverse compensator design for hysteretic smart systems

McMahan

Smith

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

Ferroelectric (e.g., PZT), ferromagnetic (e.g., Terfenol-D) and ferroelastic (e.g., shape memory alloy (SMA)) materials offer unique design and control capabilities for a range of present and emerging control applications. However, all of these materials exhibit creep, rate-dependent hysteresis, and constitutive nonlinearities that must be incorporated in model-based control designs to achieve stringent tracking requirements. In this paper, we employ a recently-developed extension of the homogenized energy model (HEM) to characterize rate-dependent hysteresis behavior and construct an approximate model inverse for sliding mode control design. We illustrate this in the context of an actuator employing the ferroelectric material PZT but note that the general framework is also applicable to magnetic and shape memory alloy transducers. Through numerical examples, we illustrate the effectiveness of the HEM inverse-based sliding mode design for tracking a reference trajectory in the presence of modeling and inversion errors.

show abstract

“…Furthermore, it degrades the tracing performance in closedloop control systems. The hysteresis behavior is a dominant issue that has to be solved when application of piezo materials is considered [2,16].…”

Section: Introductionmentioning

confidence: 99%

Open loop control of piezoelectric tube transducer

Stefański

Minorowicz

2018

Archives of Mechanical Technology and Materials

View full text Add to dashboard Cite

A B S T R A C TThis paper is focused on the open loop control of a piezoelectric tube actuator, hindered by a strong hysteresis. The actuator was distinguished with 22 % hysteresis, which hinders the positioning of piezoelectric actuator. One of the possible ways to solve this problem is application of an accurate analytical inversed model of the hysteresis in the control loop. In this paper generalized Prandtl-Ishlinskii model was used for both modeling and open loop control of the piezoelectric actuator. Achieved modeling error does not exceed max. 2.34 % of the whole range of tube deflection. Finally, the inverse hysteresis model was applied to the control line of the tube. For the same input signal (damped sine 0.2 Hz) as for the model estimation the positioning error was max. 4.6 % of the tube deflection. Additionally, for a verification reason three different complex harmonic functions were applied. For the verification functions, still a good positioning was obtained with positioning error of max. 4.56 %, 6.75 % and 5.6% of the tube deflection.

show abstract

Compensation of Complex Hysteresis and Creep Effects in Piezoelectrically Actuated Systems —A New Preisach Modeling Approach

Cited by 129 publications

References 12 publications

An experimental comparison of proportional-integral, sliding mode, and robust adaptive control for piezo-actuated nanopositioning stages

An experimental comparison of proportional-integral, sliding mode, and robust adaptive control for piezo-actuated nanopositioning stages

Sliding mode control based on an inverse compensator design for hysteretic smart systems

Open loop control of piezoelectric tube transducer

Contact Info

Product

Resources

About