Reduction of spillover effects on independent modal space control through optimal placement of sensors and actuators

Cinquemani, Simone; Ferrari, Davide; Bayati, Ilmas

doi:10.1088/0964-1726/24/8/085006

Cited by 21 publications

(4 citation statements)

References 25 publications

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“…The feedback control force V i in each flexible mode is designed to depend only on its modal displacement q i and modal velocity q·i where gi1 and gi2 are negative control gains and can be determined by minimizing a quadratic performance index (Fang et al., 2003; Meirovitch et al., 2012; Herpen et al., 2014). The disadvantage of the IMSC is that it can only be designed for some local points (Cinquemani et al., 2015; Park and Park, 2015) while in motion systems with a time-varying performance location, global vibration control performance is desired. To overcome this disadvantage and to utilize its advantages, a modified IMSC is proposed in this paper which takes the time-varying dynamics of the plant into account.…”

Section: Vibration Control In Modal Spacementioning

confidence: 99%

Simultaneous optimization of actuators' configuration and vibration control in ultra-precision motion systems with a time-varying performance location

Zhu

Jing

Zhang

et al. 2019

Journal of Vibration and Control

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Demands for both high accuracy and throughput levels of ultra-precision motion systems lead to a lightweight and flexible design, which makes the vibration control indispensable. Simultaneous optimization of vibration controllers and actuators' configuration (sizes and locations) could result in better vibration control performance. However, linear time-invariant vibration controllers that are mostly adopted in the optimization may not be adequate for motion systems with a time-varying performance location, while advanced vibration controllers are too complicated to be integrated into the simultaneous optimization. In this paper, a simple and effective vibration control method is proposed for ultra-precision motion systems with a time-varying performance location based on over-actuation and modal assumption principles, then the controller parameter and actuators' configuration are simultaneously optimized to minimize the H2 norm of vibration magnitudes across all performance locations for optimal global vibration control performance, meanwhile satisfying other mechanical requirements such as accelerations and currents constraints. R-functions and level-set functions are utilized to translate the complicated nonoverlapping constraints of actuators into a simple integral equality. The genetic algorithm is adopted for optimization solving. The proposed method is verified on a simplified fine stage in the wafer stage and the numerical results proved its effectiveness.

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Section: Vibration Control In Modal Spacementioning

confidence: 99%

Simultaneous optimization of actuators' configuration and vibration control in ultra-precision motion systems with a time-varying performance location

Zhu

Jing

Zhang

et al. 2019

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…In parallel, other modal methods have been developed (Inman, 2001;Kim, Wang, & Brennan, 2011;Pereira, Aphale, Feliu, & Moheimani, 2011). Despite the evolution, an efficient modal controller to face the spillover effects is still an open problem (Braghin, Cinquemani, & Resta, 2012;Cinquemani, Ferrari, & Bayati, 2015;Serra, Resta, & Ripamonti, 2013). A possible solution is to formulate this control system technique by merging the features of both modal and H ∞ controls.…”

Section: Introductionmentioning

confidence: 99%

Damage-tolerant active control using a modal H∞-norm-based methodology

Genari

Mechbal

Coffignal

et al. 2017

Control Engineering Practice

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A new approach for vibration reduction of flexible structures subject to damage is here proposed, based on modal H ∞-norm control. Considering that structural damage provokes different effects on each vibration mode, the proposed method concentrates the control action on modes that are indeed suffering the worst damage consequences. For this purpose, a new modal H ∞ norm is introduced, weighing each mode according to control design convenience. Based on this norm, a regular H ∞ controller design is applied, using the linear matrix inequality approach. Simulated and experimental results show significant advantages of the proposed methodology over the regular H ∞ approach, including damage tolerance.

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“…However, mode selectivity in terms of both the amplitude and the frequency in the interest bandwidth is usually a difficult objective because ∞ H control techniques work with contiguous low-frequency bands. Common modal control techniques provide reasonable modal selectivity, but these methods are still very sensitive to spillover [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

A modal H∞-norm-based performance requirement for damage-tolerant active controller design

Genari

Mechbal

Coffignal

et al. 2017

Journal of Sound and Vibration

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Damage-tolerant active control (DTAC) is a recent research area that encompasses control design methodologies resulting from the application of fault-tolerant control methods to vibration control of structures subject to damage. The possibility of damage occurrence is not usually considered in the active vibration control design requirements. Damage changes the structure dynamics, which may produce unexpected modal behavior of the closed-loop system, usually not anticipated by the controller design approaches. A modal ∞ H norm and a respective robust controller design framework were recently introduced, and this method is here extended to face a new DTAC strategy implementation. Considering that damage affects each vibration mode differently, this paper adopts the modal ∞ H norm to include damage as a design requirement. The basic idea is to create an appropriate energy distribution over the frequency range of interest and respective vibration modes, guaranteeing robustness, damage tolerance, and adequate overall performance, taking into account that it is common to have previous knowledge of the structure regions where damage may occur during its operational life. For this purpose, a structural health monitoring technique is applied to evaluate modal modifications caused by damage. This information is used to create modal weighing matrices, conducting to the modal ∞ H controller design. Finite element models are adopted for a case study structure, including different damage severities, in order to validate the proposed control strategy. Results show the effectiveness of the proposed methodology with respect to damage tolerance.

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Reduction of spillover effects on independent modal space control through optimal placement of sensors and actuators

Cited by 21 publications

References 25 publications

Simultaneous optimization of actuators' configuration and vibration control in ultra-precision motion systems with a time-varying performance location

Simultaneous optimization of actuators' configuration and vibration control in ultra-precision motion systems with a time-varying performance location

Damage-tolerant active control using a modal H∞-norm-based methodology

A modal H∞-norm-based performance requirement for damage-tolerant active controller design

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