Preisach classical and nonlinear modeling of hysteresis in piezoceramic deformable mirrors

Dubra, Alfredo; Massa, J. S.; Paterson, Carl

doi:10.1364/opex.13.009062

Cited by 44 publications

(17 citation statements)

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“…There are several approaches used for Γ (u(s)) in PEA, for instance: the Prandtl-Ishlinskii approach [5][6][7]20,21], the Preisach approach [22][23][24], the Bouc-Wen approach [25][26][27][28], the quadrilateral and multilinear approach [6][7][8]11,29]. It is noteworthy that the nonlinear model in Equations (4) and (5) come down to a linear model when the hysteresis and the creep are negligible.…”

Section: Pea Nonlinear Modelingmentioning

confidence: 99%

Getting Started with PEAs-Based Flapping-Wing Mechanisms for Micro Aerial Systems

et al. 2016

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This paper introduces recent advances on flapping-wing Micro and Nano Aerial Vehicles (MAVs and NAVs) based on Piezoelectric Actuators (PEA). Therefore, this work provides essential information to address the development of such bio-inspired aerial robots. PEA are commonly used in micro-robotics and precise positioning applications (e.g., micro-positioning and micro-manipulation), whereas within the Unmanned Aerial Vehicles (UAVs) domain, motors are the classical actuators used for rotary or fixed-wing configurations. Therefore, we consider it pertinent to provide essential information regarding the modeling and control of piezoelectric cantilever actuators to accelerate early design and development stages of aerial microrobots based on flapping-wing systems. In addition, the equations describing the aerodynamic behavior of a flapping-wing configuration are presented.

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Section: Pea Nonlinear Modelingmentioning

confidence: 99%

Getting Started with PEAs-Based Flapping-Wing Mechanisms for Micro Aerial Systems

et al. 2016

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“…This will in turn restrict the maximum deformation stroke of the mirror. For both open and closed loop operation, the hysteresis effects can be significantly reduced by implementing correction algorithms in the control software [3] and this then allows more flexibility in mirror design. Figure 7 shows 25mm and 40mm diameter mirrors assembled in their final package.…”

Section: Mirror Performancementioning

confidence: 99%

Development of low cost deformable bimorph mirrors for use in adaptive optics

Massa

Paterson

2005

SPIE Proceedings

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This paper describes the recent progress made in the development of deformable bimorph mirrors as part of an adaptive optics toolkit -a set of low cost plug and play components aimed at non specialist applications engineers and scientists. The paper addresses the design issues, the manufacturability and the reliability, and discusses the compromises that arise due to cost and performance considerations. Current mirror designs have 55 or 31 electrodes, a deformation stroke of up to 80µm across a 40mm diameter, and a resonant frequency of up to 5kHz for a 25mm diameter device.

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“…These include the Preisach model [3] and the Weber model [9]. Smith's ODE approach has several advantages.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis modeling and go-to control of deformable mirrors in adaptive optics

Vogel

2012

2012 IEEE Aerospace Conference

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We propose a model-based approach to provide "open-loop" control, or precise go-to capability, for piezo actuated deformable mirrors (DMs) used in adaptive optics. Our DM model consists of a two-dimensional, linear partial differential equation known as the thin plate equation to describe the DM facesheet which is coupled to nonlinear scalar ordinary differential equations to describe the hysteretic actuators. Our control approach is carried out in two stages. In the first stage we compute actuator loads that drive the DM facesheet to a prescribed shape. The second stage involves the solution of "inverse" ordinary differential equations that provide the command voltages that induce actuator loads computed in the first stage. This work is significant in that it may enhance predictive and feed-forward control schemes in adaptive optics. Standard integral controllers, operating in closed loop, may also benefit since the gain may be increased.

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Preisach classical and nonlinear modeling of hysteresis in piezoceramic deformable mirrors

Cited by 44 publications

References 0 publications

Getting Started with PEAs-Based Flapping-Wing Mechanisms for Micro Aerial Systems

Getting Started with PEAs-Based Flapping-Wing Mechanisms for Micro Aerial Systems

Development of low cost deformable bimorph mirrors for use in adaptive optics

Hysteresis modeling and go-to control of deformable mirrors in adaptive optics

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