Adaptive inverse control of piezoelectric actuators with hysteresis operators

Kuhnen, Klaus; Janocha, Hartmut

doi:10.23919/ecc.1999.7099402

Cited by 77 publications

(40 citation statements)

References 5 publications

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“…Among which the Preisach hysteresis model [46] and its modifications [47][48][49][50][51][52][53][54][55][56][57][58], the PrandtlIshlinskii (PI) hysteresis model [25,[59][60][61][62][63], and the Maxwell resistive capacitor (MRC) model [64][65][66][67] are among the most widely used. These rate-independent hysteresis models are reviewed as follows.…”

Section: Rate-independent Hysteresis Modelsmentioning

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: Rate-independent Hysteresis Modelsmentioning

confidence: 99%

A Survey of Modeling and Control of Piezoelectric Actuators

Peng¹,

Xiongbiao²

2013

MME

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“…To combat this problem, one approach is adaptive inverse control (Tao & Kokotovic, 1995;Webb et al, 1998;Kuhnen & Janocha, 1999). In this paper we explore an alternative approach and develop a robust control framework for magnetostrictive actuators.…”

Section: Introductionmentioning

confidence: 99%

Modeling and control of hysteresis in magnetostrictive actuators

2004

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A novel dynamic model is proposed for the hysteresis in magnetostrictive actuators by coupling a Preisach operator to an ordinary di erential equation, and a parameter identiÿcation method is described. An e cient inversion algorithm for a class of Preisach operators with piecewise uniform density functions is then introduced, based upon which an inverse control scheme for the dynamic hysteresis model is presented. Finally the inversion error is quantiÿed and l1 control theory is applied to improve the robustness of inverse compensation. Simulation and experimental results based on a Terfenol-D actuator are provided. ?

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“…To combat this problem, a robust control framework was proposed by combining inverse compensation with l 1 control theory in [13]. An alternative approach is adaptive inverse control [11,14,15]. Tao and Kokotović developed an adaptive inverse control scheme for a class of hysteresis models with piecewise linear characteristics [11].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Identification and Control of Hysteresis in Smart Material Actuators

Tan¹,

Baras²

2003

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Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. AbstractHysteresis exhibited by smart materials hinders their wider applicability in actuators and sensors. In this paper methods are studied for recursive identification and adaptive inverse control of smart material actuators, where a Preisach operator with a piecewise uniform density function is used to model the hysteresis. Persistent excitation conditions for parameter convergence are discussed in terms of the input to the Preisach operator.Two classes of recursive identification schemes are explored, one based on the hysteresis output, the other based on the time difference of the output. Asymptotic tracking for the adaptive inverse control method is proved, and the condition for parameter convergence is given in terms of the reference trajectory. Practical implementation issues are also investigated. Simulation and experimental results based on a magnetostrictive actuator are used to illustrate the approach.

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Adaptive inverse control of piezoelectric actuators with hysteresis operators

Cited by 77 publications

References 5 publications

A Survey of Modeling and Control of Piezoelectric Actuators

A Survey of Modeling and Control of Piezoelectric Actuators

Modeling and control of hysteresis in magnetostrictive actuators

Adaptive Identification and Control of Hysteresis in Smart Material Actuators

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