Design of Linear Feedback Controllers for Dynamic Systems With Hysteresis

Riccardi, Leonardo; Naso, David; Turchiano, Biagio; Janocha, Hartmut

doi:10.1109/tcst.2013.2282661

Cited by 44 publications

(1 citation statement)

References 34 publications

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“…A summary and expanded description of the cited papers is also reported in [16]. In [29] the design of linear feedback controllers validated on an MSMA push-push actuator is presented. The comparison of different model-free and model-based techniques is described in [30].…”

Section: Current State In Msma Actuator Design Modeling and Controlmentioning

confidence: 99%

Design, modelling and control of a micro-positioning actuator based on magnetic shape memory alloys

Minorowicz¹,

Leonetti²,

Stefański³

et al. 2016

Smart Mater. Struct.

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This paper presents an actuator based on magnetic shape memory alloys (MSMAs) suitable for precise positioning in a wide range (up to 1 mm). The actuator is based on the spring returned operating mode and uses a Smalley wave spring to maintain the same operating parameters of a classical coil spring, while being characterized by a smaller dimension. The MSMA element inside the actuator provides a deformation when excited by an external magnetic field, but its behavior is characterized by an asymmetric and saturated hysteresis. Thus, two models are exploited in this work to represent such a non-linear behavior, i.e., the modified and generalized Prandtl-Ishlinskii models. These models are particularly suitable for control purposes due to the existence of their analytical inversion that can be easily exploited in real time control systems. To this aim, this paper investigates three closed-loop control strategies, namely a classical PID regulator, a PID regulator with direct hysteresis compensation, and a combined PID and feedforward compensation strategy. The effectiveness of both modelling and control strategies applied to the designed MSMA-based actuator is illustrated by means of experimental results.

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Section: Current State In Msma Actuator Design Modeling and Controlmentioning

confidence: 99%

Design, modelling and control of a micro-positioning actuator based on magnetic shape memory alloys

Minorowicz¹,

Leonetti²,

Stefański³

et al. 2016

Smart Mater. Struct.

View full text Add to dashboard Cite

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Expanded proximate time‐optimal servo control of permanent magnet synchronous motor

Lü

Cheng

2015

Optim Control Appl Methods

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Summary This paper extends the existing proximate time‐optimal servomechanism control methodology to the more typical second‐order servo systems with a damping element. A parameterized design of expanded proximate time‐optimal servomechanism control law with a speed‐dependent linear region is presented for rapid and smooth set‐point tracking using a bounded input signal. The control scheme uses the time‐optimal bang‐bang control law to accomplish maximum acceleration or braking whenever appropriate and then smoothly switches into a linear control law to achieve a bumpless settling. The closed‐loop stability is analyzed, and then the control scheme is applied to the position–velocity control loop in a permanent magnet synchronous motor servo system for set‐point position regulation. Numerical simulation has been conducted, followed by experimental verification based on a TMS320F2812 digital signal controller board. The results confirm that the servo system can track a wide range of target references with superior transient performance and steady‐state accuracy. Copyright © 2015 John Wiley & Sons, Ltd.

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Tracking control for systems with slope‐restricted hysteresis nonlinearities

Dey

Patra

Sen

2018

Intl J Robust & Nonlinear

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Summary This paper addresses the reference tracking problem for plants that can primarily be modeled as a linear time‐invariant (LTI) system preceded by a slope‐restricted hysteresis nonlinearity. This structure is particularly interesting due to its wide use in modeling smart actuator dynamics such as shape‐memory alloy and piezoelectric. The hysteresis nonlinearity is considered to be slope restricted; however, no specific modeling framework is exploited. Based on the slope bounds of the nonlinearity, conditions for asymptotic tracking are proposed in terms of linear matrix inequalities (LMIs) when constant reference is considered. By solving the LMIs, the controller parameters can be obtained, which eventually ensures asymptotic convergence of tracking error to zero. The proposed model‐free design technique is further reformulated considering parametric uncertainties in the LTI part. The resulting conditions in LMI framework facilitate solving the robust tracking problem for hysteretic systems. The results are applicable for multiple‐input–multiple‐output systems as well, with decoupled hysteresis nonlinearity. Additionally, with only integral control, the proposed results are specialized for the case of stable LTI part having positive definite symmetric part of the DC gain matrix. It is shown that there always exists such a tracking controller for the hysteretic system. Numerical examples are presented to illustrate the effectiveness of the proposed results.

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Design of Linear Feedback Controllers for Dynamic Systems With Hysteresis

Cited by 44 publications

References 34 publications

Design, modelling and control of a micro-positioning actuator based on magnetic shape memory alloys

Design, modelling and control of a micro-positioning actuator based on magnetic shape memory alloys

Expanded proximate time‐optimal servo control of permanent magnet synchronous motor

Tracking control for systems with slope‐restricted hysteresis nonlinearities

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