Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

Saad, Wajdi; Sellami, Anis; García, Germain

doi:10.1177/1077546319889413

Cited by 9 publications

(3 citation statements)

References 55 publications

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“…Huang et al 24 and Yaseen et al 25 used viscoelastic damping materials to effectively control the vibration of thin‐walled members and summarize the new progress for vibration problems of thin‐walled structures with viscoelastic damping layer treatments. Saad et al 26 and Safaei and Tavakoli 27 discussed the free‐vibration characteristics of circular cylindrical shells with passive constrained‐layer damping, and the influence of the ratio of the elastic modulus of the orthotropic constrained layer, and the complex shear modulus of viscoelastic core on the frequency parameter and loss factor. Li et al 28,29 and Moradi Zirkohi and Shoja‐Majidabad 30 used the carriage vibration noise field test to evaluate the effect of a variety of damping materials on vibration and noise reduction.…”

Section: Introductionmentioning

confidence: 99%

Study of the inhibitory effect of a soft cushion on the propagation of pressure pulsation in pumped storage power stations

Yang,

Wang,

Yang

et al. 2023

Earthquake Engineering and Resilience

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High‐frequency pressure pulsations are hydraulic phenomena that are frequently observed in pumped storage power stations. These pulsations can propagate through the steel pipes, concrete lining, and the surrounding rock system, which in turn may have detrimental effects on the environment, such as noise pollution, and relocation of the local residents. This paper proposes a vibration‐damping concept that involves wrapping a local soft cushion layer outside the buried steel pipe; this layer could partially eliminate the pressure fluctuations in the headrace tunnel, thereby reducing the ground vibrations caused by the pressure pulsations. In this study, the finite element method was used to model the propagation of vibrations in the surrounding rock and fluid‐filled pipes, including static simulation of the structure, and dynamic simulation of the surrounding rock. The simulation results suggest that adding an appropriate local soft bedding layer can effectively reduce the ground vibrations by more than 60% and the possible surface noise within the standard vertical vibration norms. The inhibitory effect of the soft cushion on the propagation of vibrations is determined by the wrapping angle, thickness, and material of the bedding layer. This effect increases with increasing wrapping angle and thickness of the bedding layer, and decreases with increasing elastic modulus of the material. After the addition of the bedding layer between the steel pipe and concrete lining, the pressure in the inner pipe is primarily borne by the steel lining rather than the coupling of the steel lining, concrete lining, and the surrounding rock. Hence, the thickness of the part of the steel liner in contact with the soft bedding layer should be increased. In addition, the thickness variations in the steel pipe joints should be smooth to avoid stress concentration.

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Section: Introductionmentioning

confidence: 99%

Study of the inhibitory effect of a soft cushion on the propagation of pressure pulsation in pumped storage power stations

Yang,

Wang,

Yang

et al. 2023

Earthquake Engineering and Resilience

View full text Add to dashboard Cite

show abstract

“…The observer design problem for specialized nonlinear systems satisfying a Lipschitz continuity has attracted intensive attention in the past three decades (Boukettaya et al, 2014; Naifar et al, 2015, 2016; Saad et al, 2020; Yadegar et al, 2018; Yu et al, 2020; Yu and Liao, 2020). However, the observer design for the class of Lipschitz nonlinear systems is introduced for the first time by Thau (1973), where he proposed an asymptotic stable observer that observes the states of a nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Sajjadi

Chahari

Pishkenari

et al. 2021

Journal of Vibration and Control

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In this study, a nonlinear observer for high-speed estimation of the sample surface topography in a small duration of the probe transient motion utilizing a 2DOF model of TR-AFM is proposed. Since the time duration to reach the steady-state periodic motion of the oscillating probe in conventional imaging methods is relatively high, the proposed nonlinear observer in this research is able to address this limitation and estimate the surface topography throughout transient oscillation of the microcantilever. With this aim, topography estimation process utilizing a Thau observer without any linearization of the system dynamics is designed and coupled with the system dynamics to achieve sample topography. The stability of the proposed observer coupled with controller is verified by the Lyapunov stability theorem for the first time, and hence, linearization of the model is not required. Simulation results demonstrate the feasibility of the presented approach to estimate different sample heights with high accuracy and a relatively high scanning speed. Additionally, the effects of measurement noise and horizontal nanoneedle tip displacement on the performance of proposed technique are investigated.

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“…The nonlinearities have to be considered in the control design. The controller design problem for Lipschitz nonlinear systems has drawn considerable attention in the past few decades Yu et al (2020); Rehan et al (2017); Saad et al (2020); Yadegar et al (2018); Zemouche et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Optimal dynamic output feedback control of Lipschitz nonlinear systems under input saturation

Shahbazzadeh

Salehifar

Sadati

2021

Journal of Vibration and Control

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In this study, the problem of optimal guaranteed cost control (OGCC) for nonlinear systems under input saturation is investigated. The purpose is to design a dynamic output feedback controller such that the closed-loop system is asymptotically stable and the upper bound of the cost function is minimized. Moreover, the designed controller ensures that the control signals do not exceed their permissible values. This leads to an optimization problem with bilinear matrix inequality (BMI) constraints. The BMI conditions are converted into the linear matrix inequality conditions by using some technical lemmas for straightforward computation of the controller matrices. The simulation results show the effectiveness and advantages of the proposed theoretical results.

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Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

Cited by 9 publications

References 55 publications

Study of the inhibitory effect of a soft cushion on the propagation of pressure pulsation in pumped storage power stations

Study of the inhibitory effect of a soft cushion on the propagation of pressure pulsation in pumped storage power stations

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Optimal dynamic output feedback control of Lipschitz nonlinear systems under input saturation

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