Motion control for underactuated mechanical systems on lie groups

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082370 ◽

1997 ◽

Cited By ~ 2

Author(s):

Francesco Bullo ◽

Naomi Ehrich Leonard

Keyword(s):

Lie Groups ◽

Motion Control ◽

Mechanical Systems ◽

Underactuated Mechanical Systems ◽

Systems On Lie Groups

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Motion control of a class of underactuated mechanical systems: The acrobot example

Journal of Central South University of Technology ◽

10.1007/s11771-999-0016-4 ◽

1999 ◽

Vol 6 (2) ◽

pp. 134-137

Author(s):

Xuzhi Lai ◽

Zixing Cai ◽

Jinhua She

Keyword(s):

Motion Control ◽

Mechanical Systems ◽

Underactuated Mechanical Systems

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Intrinsic Observer-Based Stabilization for Simple Mechanical Systems on Lie Groups

SIAM Journal on Control and Optimization ◽

10.1137/s0363012904439891 ◽

2005 ◽

Vol 44 (5) ◽

pp. 1691-1711 ◽

Cited By ~ 25

Author(s):

D. H. S. Maithripala ◽

W. P. Dayawansa ◽

J. M. Berg

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Systems On Lie Groups

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Structured linearization of discrete mechanical systems on Lie groups: A synthesis of analysis and control

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402357 ◽

2015 ◽

Cited By ~ 2

Author(s):

Taosha Fan ◽

Todd Murphey

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Discrete Mechanical Systems ◽

And Control ◽

Systems On Lie Groups

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Motion control of drift-free, left-invariant systems on Lie groups

IEEE Transactions on Automatic Control ◽

10.1109/9.412625 ◽

1995 ◽

Vol 40 (9) ◽

pp. 1539-1554 ◽

Cited By ~ 139

Author(s):

N.E. Leonard ◽

P.S. Krishnaprasad

Keyword(s):

Lie Groups ◽

Motion Control ◽

Free Left ◽

Systems On Lie Groups

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Motion Control of Drift-Free, Left-Invariant Systems on Lie Groups

10.21236/ada453131 ◽

1995 ◽

Cited By ~ 1

Author(s):

Naomi E. Leonard ◽

P. S. Krishnaprasad

Keyword(s):

Lie Groups ◽

Motion Control ◽

Free Left ◽

Systems On Lie Groups

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A Coordinate-Free Approach to Tracking for Simple Mechanical Systems On Lie Groups

New Directions and Applications in Control Theory - Lect. Notes Control ◽

10.1007/10984413_14 ◽

2005 ◽

pp. 223-237 ◽

Cited By ~ 1

Author(s):

D.H.S. Maithripala ◽

J.M. Berg ◽

W.P. Dayawansa

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Systems On Lie Groups

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Control of mechanical systems on Lie groups and ideal hydrodynamics

Journal of Mathematical Sciences ◽

10.1007/s10958-009-9544-6 ◽

2009 ◽

Vol 161 (2) ◽

pp. 181-193 ◽

Cited By ~ 1

Author(s):

M. V. Deryabin

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Systems On Lie Groups

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BDF integrators for constrained mechanical systems on Lie groups

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112517 ◽

2019 ◽

pp. 112517 ◽

Cited By ~ 1

Author(s):

Victoria Wieloch ◽

Martin Arnold

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Constrained Mechanical Systems ◽

Systems On Lie Groups

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Motion Control of Underactuated Mechanical Systems

10.1007/978-3-319-58319-8 ◽

2018 ◽

Cited By ~ 22

Author(s):

Javier Moreno-Valenzuela ◽

Carlos Aguilar-Avelar

Keyword(s):

Motion Control ◽

Mechanical Systems ◽

Underactuated Mechanical Systems

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Control of mechanical systems on Lie groups based on vertically transverse functions

Mathematics of Control Signals and Systems ◽

10.1007/s00498-008-0026-z ◽

2008 ◽

Vol 20 (2) ◽

pp. 111-133 ◽

Cited By ~ 5

Author(s):

David A. Lizárraga ◽

José M. Sosa

Keyword(s):

Lie Groups ◽

Mechanical Systems ◽

Systems On Lie Groups

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