Stability Bounds for the Control of Large Space Structures

Joshi, Suresh M.; Groom, Nelson J.

doi:10.2514/3.55887

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Stability In the Presence Of Nonlinearities And Dynamics2

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1983

1995

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Cited by 7 publications

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“…(22) Using (22), the bounded-slope property of +, and the fact that l1holl is finite, we have the following from (21). Xm(D)IIq41II .…”

Section: Stability In the Presence Of Nonlinearities And Dynamicsmentioning

confidence: 98%

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Robustness of Velocity Feedback Controllers for Flexible Spacecraft

Joshi

1985

IEEE Trans. Aerosp. Electron. Syst.

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The robustness properties of collocated velocity feedback controllers used for damping enhancement in large, flexible space structures are investigated. It is proved that the closed-loop system using such controllers is asymptotically stable in the large when: 1) unmodeled linear time-invariant dynamics (such as sensors/ actuators) are present, provided that the phase angle of such dynamics is between -90°and 900, 2) time-varying or invariant nonlinearities lying in the first and the third quadrant (i.e., belonging to the (0, m) sector) are present, or 3) sector-type nonlinearities following first-order stable dynamics are present in the feedback loop.

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“…(22) Using (22), the bounded-slope property of +, and the fact that l1holl is finite, we have the following from (21). Xm(D)IIq41II .…”

Section: Stability In the Presence Of Nonlinearities And Dynamicsmentioning

confidence: 98%

“…Using (20) in (19) and rearranging, m (q,Dq)T + E kri (fi,4'f(7Jifci))T C V(O)/2 i= I + (q1A'T4"ho)T (21) where ' = diag (i+ , . S 4), which are evaluated at some points within the intervals bounded by Wifi and JifC,i + hoi (i = 1,2, ..., mi).…”

Section: Stability In the Presence Of Nonlinearities And Dynamicsmentioning

confidence: 99%