Observer-based self sensing actuation of piezoelastic structures for robust vibration control

Rittenschober, Thomas; Schlacher, Kurt

doi:10.1016/j.automatica.2012.02.038

Cited by 14 publications

(8 citation statements)

References 9 publications

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“…The main difference compared to the references [2], [15], [28] which have studied control of individual PDE models is that our results are applicable for abstract regular linear systems and various PDEs within this class. Moreover, in [2] (ω k ) q k=1 are estimated from the tracking error signal.…”

Section: Introductionmentioning

confidence: 94%

“…For finitedimensional linear and nonlinear systems the case of unknown frequencies has been studied in [8], [20], [31], [42], [43] using adaptive internal models. Controllers have also been designed for selected PDE models, in particular, 2 × 2 hyperbolic systems [2], a Kirchoff plate [28], and a 1D boundary controlled L. Paunonen is with Mathematics, Faculty of Information Technology and Communication Sciences, Tampere University, PO. Box 692, 33101 Tampere, Finland (email: lassi.paunonen@tuni.fi).…”

Section: Introductionmentioning

confidence: 99%

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Nonautonomous Controllers and Output Regulation of Unknown Harmonic Signals for Regular Linear Systems

Paunonen,

Afshar

2024

IEEE Trans. Automat. Contr.

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We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for time-dependent controllers with asymptotically converging parameters. This general result is utilised in controller design for output tracking and disturbance rejection of harmonic signals with unknown frequencies. Our controller can be flexibly combined with different frequency estimation methods. The results are illustrated in rejection of unknown harmonic disturbances for a one-dimensional boundary controlled heat equation.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Nonautonomous Controllers and Output Regulation of Unknown Harmonic Signals for Regular Linear Systems

Paunonen,

Afshar

2024

IEEE Trans. Automat. Contr.

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“…That is, the rate of change of strain is measured rather than the strain itself. As a result, charge-and voltage-based SSA have been essentially used for vibration control [37], [40], [65]. Ivan et al [39] adopted the already existing antiparallel compensation scheme by Hagood et al [40] and added an integrator amplifier to enable static and quasistatic SSA (see figure 8).…”

Section: Quasi-static Ssa Based On the Piezoelectric Direct Effectmentioning

confidence: 99%

An Overview of Piezoelectric Self-Sensing Actuation for Nanopositioning Applications: Electrical Circuits, Displacement, and Force Estimation

Liseli

Agnus

Lutz

et al. 2020

IEEE Trans. Instrum. Meas.

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The industrial sector often employs piezoelectric materials as actuators for a variety of uses, some of which requires a precise positioning while being limited by space and cost factors that impede the insertion of external position and force sensors. Piezoelectric Actuators are characterized by strong nonlinearities (hysteresis and creep), badly damped oscillations and sensitivity to the environment, especially temperature variation, that make the measurement of the position mandatory to guarantee the required precision and repeatability of piezoelectricbased positioning systems operating at the micro and nanoscale. Self-Sensing Actuation techniques allow the implementation of precise positioning control of Piezoelectric Actuators without the hindrance of external position sensors. This paper reviews the different Self-Sensing Actuation techniques used for precise positioning control of Piezoelectric Actuators. The principle of Self-Sensing Actuation is defined by the capability of deriving the physical state of a Piezoelectric Actuator (displacement, perceived force, ¤ ¤ ¤) without the use of external sensors to directly measure thereof, but rather by estimating it from the measurement of less intrusive and cheaper physical signals produced by the Piezoelectric Actuator itself (throughout current, voltage drop, ¤ ¤ ¤). The applicability and constraints of each Self-Sensing Actuation approach are examined in order to help in the determination of the most adequate approach for precise control of Piezoelectric Actuators positioning and handling force control.

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“…Using PI control algorithm, Zhang et al [10] developed a disturbance rejection (DR) control with proportional-integral (PI) observer using step functions as the fictitious model of disturbances for vibration suppression of smart structures. Using adaptive control algorithm, Thomas et al [11] discussed the active vibration control of smart structures using adaptive control method and piezoelectric actuators, experiment and simulation results demonstrated the ability of vibration suppression. Zhang et al [12] presented some experiments not only for depiction of hysteresis property but also for vibration suppression by designing an adaptive controller to a smart system consisted of a cantilever beam bonded with a piezoelectric actuator.…”

Section: Introductionmentioning

confidence: 97%

Experimental Study of Flexible Plate Vibration Control by Using Two-Loop Sliding Mode Control Strategy

Yang

Lin

Liu

et al. 2016

J. Inst. Eng. India Ser. C

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It is well known that intelligent control theory has been used in many research fields, novel modeling method (DROMM) is used for flexible rectangular active vibration control, and then the validity of new model is confirmed by comparing finite element model with new model. In this paper, taking advantage of the dynamics of flexible rectangular plate, a two-loop sliding mode (TSM) MIMO approach is introduced for designing multiple-input multiple-output continuous vibration control system, which can overcome uncertainties, disturbances or unstable dynamics. An illustrative example is given in order to show the feasibility of the method. Numerical simulations and experiment confirm the effectiveness of the proposed TSM MIMO controller.

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Observer-based self sensing actuation of piezoelastic structures for robust vibration control

Cited by 14 publications

References 9 publications

Nonautonomous Controllers and Output Regulation of Unknown Harmonic Signals for Regular Linear Systems

Nonautonomous Controllers and Output Regulation of Unknown Harmonic Signals for Regular Linear Systems

An Overview of Piezoelectric Self-Sensing Actuation for Nanopositioning Applications: Electrical Circuits, Displacement, and Force Estimation

Experimental Study of Flexible Plate Vibration Control by Using Two-Loop Sliding Mode Control Strategy

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