Asymptotic Stability Analysis of Lur’e Systems With Butterfly Hysteresis Nonlinearities

Vasquez-Beltran, M. A.; Jayawardhana, Bayu; Peletier, R. F.

doi:10.1109/lcsys.2019.2921850

Cited by 13 publications

(15 citation statements)

References 17 publications

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“…A framework to model the electric-field dependence on the strain in piezoelectric materials purposely designed to exhibit loops with remnant deformation was presented by Jayawardhana et al [35] based on the use of the Preisach operator. The complete formal definition of the Preisach operator is given in [36].…”

Section: B Actuator Modelmentioning

confidence: 99%

Influence functions for a hysteretic deformable mirror with a high-density 2D array of actuators

et al. 2020

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We present modeling and analysis of a hysteretic deformable mirror where the facesheet interacts with a continuous layer of piezoelectric material that can be actuated distributively by a matrix of electrodes through multiplexing. Moreover, a method to calculate the actuator influence functions is described considering the particular arrangement of electrodes. The results are presented in a semi-analytical model to describe the facesheet's deformation caused by a high-density array of actuators, and validated in a simulation. The proposed modeling of an interconnection layout of electrodes is used to determine the optimal pressures the actuators must exert to achieve a desired surface deformation.

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Section: B Actuator Modelmentioning

confidence: 99%

Influence functions for a hysteretic deformable mirror with a high-density 2D array of actuators

et al. 2020

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“…A framework to model the electric-field dependence on the strain in piezoelectric materials purposely designed to exhibit loops with remnant deformation was presented by Jayawardhana et al [21] based on the use of the Preisach operator. The complete formal definition of the Preisach operator is given in [22].…”

Section: B Actuator Modelmentioning

confidence: 99%

Influence functions for a hysteretic deformable mirror with a high density 2D array of actuators

Schmerbauch,

Vasquez-Beltran,

Vakis

et al. 2020

Preprint

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We present modeling and analysis of a hysteretic deformable mirror where the facesheet interacts with a continuous layer of piezoelectric material that can be actuated distributively by a matrix of electrodes through multiplexing. Moreover, a method for calculating the actuator influence functions is described considering the particular arrangement of electrodes. The results are presented in a semi-analytical model to describe the facesheet's deformation caused by a high density array of actuators, and validated in a simulation. The proposed modeling of an interconnection layout of electrodes is used to determine the optimal pressures the actuators have to exert for achieving a desired surface deformation....

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“…The synchronization of Lur'e networks with proportional delay which is a sort of unbounded time-varying delay has been concerned in [19]. The butterfly hysteresis nonlinearities are considered in [20] to make Lur'e system with less conservatism.…”

Section: Introductionmentioning

confidence: 99%

Synchronization Control Design Based On Observers For Time-delay Lur’e Systems

et al. 2020

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This paper researches synchronization control design for chaotic Lur'e systems (CLSs) with time-varying delay. Considering of the unmeasurable state variables, Luenberger-type observers are designed for the master-slave systems. The synchronization has been achieved by using the proposed controller with the estimated system states. Based on Bessel-Legendre inequality, improved reciprocally convex combination approach and a novel double integral inequality, new Lyapunov Krasovskii functionals(LKFs) are tailored and a synchronization control criterion with less conservatism is obtained. Some simulations are given to verify that this control strategy we proposed is effective. INDEX TERMS Luenberger observer, chaotic synchronization, improved reciprocally convex approach, double integral inequality.

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Asymptotic Stability Analysis of Lur’e Systems With Butterfly Hysteresis Nonlinearities

Cited by 13 publications

References 17 publications

Influence functions for a hysteretic deformable mirror with a high-density 2D array of actuators

Influence functions for a hysteretic deformable mirror with a high-density 2D array of actuators

Influence functions for a hysteretic deformable mirror with a high density 2D array of actuators

Synchronization Control Design Based On Observers For Time-delay Lur’e Systems

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