Optimal Control of Large Space Structures by Simple Dynamic Displacement Feedback

Kobayashi, Yohji; Ikeda, Masao; Fujisaki, Yasumasa

doi:10.9746/sicetr1965.38.694

Cited by 2 publications

(2 citation statements)

References 4 publications

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“…5,8) They make closed-loop subsystems and an overall closed-loop system not only robustly stable against uncertainty of characteristic parameters such as mass, damping, and stiff-ness, but also optimal for quadratic cost functions. 4,8,9) However, for implementation of DVDFB, velocity sensors need to be added to displacement sensors. For reduction of cost, it is desired not to use such velocity sensors.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Robust Optimal Control of Large Flexible Space Structures by Fourth Order Local Proper Controllers Using Displacement Output

Igawa

Kobayashi

2016

AEROSPACE TECHNOLOGY JAPAN

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This paper considers position and attitude control of large flexible space structures composed of a number of subsystems(substructures) under the assumption of sensors and actuators collocation. The purpose of this paper is to propose a decentralized control scheme with fourth order local proper controllers using displacement/angle output, which makes both each closed-loop subsystem and an overall closed-loop system not only robustly stable but also optimal for quadratic cost functions. We first introduce a fourth order local proper controller for stabilizing each subsystem using only displacement/angle output. Then, we show each closedloop subsystem becomes not only robustly stable against uncertain characteristic parameters such as mass, damping, and stiffness, but also optimal for a quadratic cost function by choosing parameters of each local proper controller appropriately. After stabilizing and optimizing each subsystem, we interconnect the closed-loop subsystems by flexible links to obtain an overall closed-loop system, and we show the overall closed-loop system also becomes robustly stable and optimal for a quadratic cost function. Finally, numerical examples are presented to show effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Decentralized Robust Optimal Control of Large Flexible Space Structures by Fourth Order Local Proper Controllers Using Displacement Output

Igawa

Kobayashi

2016

AEROSPACE TECHNOLOGY JAPAN

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“…To solve this problem, the dynamic displecement feedback (DDFB) has been proposed (Fujisaki, Ikeda, and Miki, 2001). DDFB adopts a proper dynamic controller using only displacement feedback, and also robustly stabilizes space structures with uncertain characteristic parameters and makes a closed-loop system optimal (Kobayashi, Ikeda, and Fujisaki, 2002) as well as DVDFB. However, DDFB has been proposed as a theoretical scheme (Fujisaki, Ikeda, and Miki, 2001), so that it has not been shown how to determine the parameters of a DDFB controller quantitatively.…”

Section: Introductionmentioning

confidence: 99%

Decentralized robust optimal control of large flexible space structures by local proper controllers using displacement output

Kobayashi

2015

Mechanical Engineering Journal

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This paper considers position and attitude control of large flexible space structures composed of a number of subsystems(substructures) which are interconnected by flexible links modeled by springs and dampers. It is assumed that sensors and actuators are collocated in each subsystem. The purpose of the paper is to propose a decentralized control scheme by local proper controllers using only displacement output, which makes both each closed-loop subsystem and an overall closed-loop system not only robustly stable against uncertainty of characteristic parameters such as mass, damping, and stiffness, but also optimal for quadratic cost functions. First, we introduce a second order low-pass filter of which relative degree is 1, at each input channel of each subsystem. Then, we temporarily feed back displacement and velocity output of the substructure and output of the filter to input of the filter locally, so that we obtain a local proper controller using displacement output. By choosing parameters of each local proper controller as it becomes a phase lead compensator, the closed-loop subsystems and the overall closed-loop system become robustly stable. Furthermore, it can be shown the closed-loop subsystems and the overall closed-loop system also become optimal for quadratic cost functions by making two feedback gains in each local proper controller sufficiently large. Finally, numerical examples are presented to show effectiveness of the proposed method.

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Optimal Control of Large Space Structures by Simple Dynamic Displacement Feedback

Cited by 2 publications

References 4 publications

Decentralized Robust Optimal Control of Large Flexible Space Structures by Fourth Order Local Proper Controllers Using Displacement Output

Decentralized Robust Optimal Control of Large Flexible Space Structures by Fourth Order Local Proper Controllers Using Displacement Output

Decentralized robust optimal control of large flexible space structures by local proper controllers using displacement output

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