Pseudo Youla–Kucera parameterization with control of the waterbed effect for local loop shaping

Chen, Xu; Jiang, Tianyu; Tomizuka, Masayoshi

doi:10.1016/j.automatica.2015.09.029

Cited by 20 publications

(8 citation statements)

References 20 publications

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“…The use of YK parametrization Q in adaptive noise and vibration rejection context covered different applications requiring high control precision and low noise sensitivity as: wafer scanning in semiconductors Chen, Jiang, and Tomizuka (2015) , data storage systems (reading/writing) Chen and Tomizuka (2013) ; Martinez and Alma (2012) ; Wu, Zhang, Chen, and Wang (2018) , mechatronics Tomizuka (2008) , active suspension systems Doumiati et al (2017) ; Landau, Constantinescu, and Rey (2005) , and biochemistry Valentinotti et al (2003) where the regulation problem is to maximize the biomass productivity in the fed-batch fermentation of a specie of yeasts and the cell growth is considered as an unstable disturbance rejected by the YK parameter Q. In Luca, Rodriguez-Ayerbe, and Dumur (2011) the feedback YK noise rejection controller is extended to control a LPV plant.…”

Section: Applicationsmentioning

confidence: 99%

Advances in Youla-Kucera parametrization: A Review

Mahtout

Navas

Milanés

et al. 2020

Annual Reviews in Control

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Youla-Kucera (YK) parametrization was formulated decades ago for obtaining the set of controllers stabilizing a linear plant. This fundamental result of control theory has been used to develop theoretical tools solving many control problems ranging from stable controller switching, closed-loop identification, robust control, disturbance rejection, adaptive control to fault tolerant control. This paper collects the recent work and classifies them according to the use of YK parametrization, Dual YK parametrization or both, providing the latest advances with main applications in different control fields. A final discussion gives some insights on the future trends in the field.

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Section: Applicationsmentioning

confidence: 99%

Advances in Youla-Kucera parametrization: A Review

Mahtout

Navas

Milanés

et al. 2020

Annual Reviews in Control

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“…In the image sensor-based control system, the position sensor Y(s) cannot measure the disturbance D(s) directly. Thus, a new control block diagram 29,30 in the presence of the disturbance is proposed in Fig. 5.…”

Section: Disturbance Observer Control (Dobc)mentioning

confidence: 99%

“…To relax these conditions, the disturbance observer control [23][24][25][26][27] is reviewed and discussed for Tip-Tilt mirror control system in this paper. Furthermore, the error-based DOBC controller [28][29][30][31] of Tip-Tilt mirror only based on CCD is proposed here. It can be plugged into an existing feedback loop that leads to a generalized version of 1-Q (Q is the designed filter) brought in the numerator of the original sensitivity function, resulting in the overall sensitivity function equal to zero in theory at the expected frequencies.…”

Section: Introductionmentioning

confidence: 99%

A review on control methodologies of disturbance rejections in optical telescope

Tang¹,

Niu²,

Ma³

et al. 2019

OEA

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Structural vibrations in Tip-Tilt modes usually affect the closed-loop performance of astronomically optical telescopes. In this paper, the state of art control methods-proportional integral (PI) control, linear quadratic Gaussian (LQG) control, disturbance feed forward (DFF) control, and disturbance observer control (DOBC) of Tip-Tilt mirror to reject vibrations are first reviewed, and then compared systematically and comprehensively. Some mathematical transformations allow PI, LQG, DFF, and DOBC to be described in a uniform framework of sensitivity function that expresses their advantages and disadvantages. In essence, feed forward control based-inverse model is the main idea of current techniques, which is dependent on accuracies of models in terms of Tip-Tilt mirror and vibrations. DOBC can relax dependences on accuracy model, and therefore this survey concentrates on concise tutorials of this method with clear descriptions of their features in the control area of disturbance rejections. Its applications in various conditions are reviewed with emphasis on the effectiveness. Finally, the open problems, challenges and research prospects of DOBC of Tip-Tilt mirror are discussed.

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“…The presented framework provides a systematic design based on several Youla-type parameterizations that in turn depend on coprime factorizations. The approach relates to coprime factorization based Youla result in Tay, Mareels, and Moore (1998), see also Chen, Jiang, and Tomizuka (2015) and Oomen, van der Maas, Rojas, and Hjalmarsson (2014b). The proposed framework provides a basis for general control design methodologies ranging from manual tuning to  2 ∕ ∞ ∕ -based optimal control.…”

Section: Introductionmentioning

confidence: 99%

Beyond decentralized wafer/reticle stage control design: A double-Youla approach for enhancing synchronized motion

Evers

Wal

Oomen

2019

Control Engineering Practice

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Pseudo Youla–Kucera parameterization with control of the waterbed effect for local loop shaping

Cited by 20 publications

References 20 publications

Advances in Youla-Kucera parametrization: A Review

Advances in Youla-Kucera parametrization: A Review

A review on control methodologies of disturbance rejections in optical telescope

Beyond decentralized wafer/reticle stage control design: A double-Youla approach for enhancing synchronized motion

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