A Study of H infinity and H2 synthesis for Active Vibration Control

Shukla, Paavni; Ghodki, Deepika; Manjarekar, Narayan S.; Singru, Pravin M.

doi:10.1016/j.ifacol.2016.03.125

Cited by 18 publications

(6 citation statements)

References 4 publications

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“…This would result in the H-2 controller performing better than H-∞ over most frequencies but failing at specific frequencies. H-∞ controllers have been adopted in mechanical systems such as missile or satellite trajectory control [45] and suspension systems [46]. However, we intend to adopt the usage of such controllers into the domain of power grid protection against LA attacks.…”

Section: Choice Of Controller For Ev-based Mitigation Schemementioning

confidence: 99%

Protecting the future grid: An electric vehicle robust mitigation scheme against load altering attacks on power grids

Sayed,

Ghafouri,

Atallah

et al. 2023

Applied Energy

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Section: Choice Of Controller For Ev-based Mitigation Schemementioning

confidence: 99%

Protecting the future grid: An electric vehicle robust mitigation scheme against load altering attacks on power grids

Sayed,

Ghafouri,

Atallah

et al. 2023

Applied Energy

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“…is the static output feedback control gain to be designed. To reduce the object transfer functions, robust control algorithms, such as LQR (Zhang et al, 2008;Zhang and Zhuan, 2020), H-2 (Li et al, 2003;Shukla et al, 2016), and Hinfinity (Xie et al, 2004;Alma et al, 2011;Khot et al, 2017) controller, are often utilized. Compared with other controllers, the H-infinity norm measure the energy-to-energy gain between the external disturbance and the target outputs directly, which can be viewed as the worst-case gain in frequency domain.…”

Section: Vehicle Suspension Model and Formulation Of H-infinity Controllermentioning

confidence: 99%

Magneto-Sensitive Rubber in a Vehicle Application Context – Exploring the Potential

Wang

Shen³

et al. 2021

Front. Mater.

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The application of magneto-sensitive (MS) rubber in a vehicle vibration control area is likely to be expected. This conclusion is based on the following two reasons: the maturity of fabrication of MS rubber which meets the application requirement and the feasibility of the constitutive model of MS rubber that accurately reflects its mechanical performance. Compared with the traditional rubber, small ferromagnetic particles are embedded in the elastomer of MS rubber, leading to a change of mechanical properties when an external magnetic field is applied. Therefore, devices with MS rubber, can be viewed as a semi-active actuator. In this study, MS rubber with a relative high increase in the magneto-induced modulus is fabricated and characterized. Furthermore, a one-dimensional constitutive model to depict the magnetic field-, frequency-, and strain amplitude-dependent dynamic modulus of MS rubber is applied. Finally, simulations of a MS rubber semi-active suspension under a bump and a random ground excitation with different control strategies on a quarter vehicle model are conducted to illustrate the feasibility of the MS rubber in the vehicle vibration control application context.

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“…To address all the limitations mentioned above, a concept was devised to embed actuators' constraints into the control problem formulation [18][19][20][21] to avoid efficiency and robustness problems of the calculated control function being imprecisely mapped or beyond the actuator output/TVA stroke limits. This involved the use of nonlinear control methods, which may be grouped generally as maximum-principle-based [39], Lyapunovfunction-based [16,38], and linearisation-based methods utilising linear optimal control theory (LQR/LQG/H 2 /H ∞ ) [7,32,40,41]. The main implementation issues regarding these methods are the high computational load of the real-time operation or control quality degradation due to dynamics/disturbances that were unmodelled during offline pre-calculations.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Floating Offshore Wind Turbine Tower Deflection Mitigation Methods Using Nonlinear Optimal-Based Reduced-Stroke Tuned Vibration Absorber

Martynowicz,

Katsaounis,

Mavrakos

2024

Energies

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Tower fatigue and strength are crucial operational concerns of floating offshore wind turbines (FOWTs) due to the escalation of the vibration phenomena observed on these structures as compared to land-based ones. FOWT towers are excited by wave and wind polyperiodic disturbances yielding continual transient states of structural vibration that are challenging for vibration mitigation systems. Thus, the paper investigates a novel implementation of nonlinear optimal-based vibration control solutions for the full-scale, tension leg platform (TLP)-based, NREL 5MW wind turbine tower-nacelle model with a 10-ton tuned vibration absorber (TVA), equipped with a magnetorheological (MR) damper, located at the nacelle. The structure is subjected to excessive wave and wind excitations, considering floating platform motions derived from model experiments in a wave tank. The MR damper operates simultaneously with an electromagnetic force actuator (forming a hybrid TVA) or independently (a semiactive TVA). The study includes both actuators’ nonlinearities and dynamics, whereby the former are embedded in the Hamilton-principle-based nonlinear control solutions. The TVA is tuned either to the NREL 5MW tower-nacelle 1st bending mode frequency (TVA-TN) or to the TLP surge frequency (TVA-TLP). The optimal control task was redeveloped concerning the TVA stroke and transient vibration minimisation, including the implementation of the protected structure’s acceleration and relative displacement terms, as well as the nonzero velocity term in the quality index. The regarded model is embedded in a MATLAB/Simulink environment. On the basis of the obtained results, the TVA-TN solution is by far superior to the TVA-TLP one. All the regarded TVA-TN solutions provide a tower deflection safety factor of ca. 2, while reference systems without any vibration reduction solutions or with a passive TVA-TLP are at risk of tower structural failure as well as the hybrid TVA-TLP system. The obtained TVA stroke reductions of 25.7%/22.0% coincide with 3.6%/10.3% maximum tower deflection reductions for the semiactive/hybrid TVA-TN case (respectively) with regard to the previously developed approaches. Moreover, these reductions are obtained due to the sole control algorithm enhancement; thus, no additional resources are necessary, while this attainment is accompanied by a reduction in the required MR damper force. The lowest obtained TVA stroke amplitude of 1.66 m is guaranteed by the newly introduced semiactive control. Its hybrid equivalent ensures 8% lower primary structure deflection amplitude and reduced nacelle acceleration levels thanks to the utilisation of the force actuator of the relatively low power (ca. 6 kW); the trade-off is an increased TVA stroke amplitude of 2.19 m, which, however, is the lowest among all the tested hybrid solutions. The analysed reference passive TVA systems, along with a modified ground-hook hybrid solution, can hardly be implemented in the nacelle (especially along the demanding side–side direction). The latter, being the well-proven hybrid solution for steady-state tower deflection minimisation, yielded unsatisfactory results. The achievements of the study may be used for an effective design of a full-scale vibration reduction system for the TLP-based floating wind turbine structure.

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A Study of H infinity and H2 synthesis for Active Vibration Control

Cited by 18 publications

References 4 publications

Protecting the future grid: An electric vehicle robust mitigation scheme against load altering attacks on power grids

Protecting the future grid: An electric vehicle robust mitigation scheme against load altering attacks on power grids

Magneto-Sensitive Rubber in a Vehicle Application Context – Exploring the Potential

Comparison of Floating Offshore Wind Turbine Tower Deflection Mitigation Methods Using Nonlinear Optimal-Based Reduced-Stroke Tuned Vibration Absorber

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