An intrinsic PID controller for mechanical systems on Lie groups

Automatica ◽

10.1016/j.automatica.2015.01.005 ◽

2015 ◽

Vol 54 ◽

pp. 189-200 ◽

Cited By ~ 20

Author(s):

D.H.S. Maithripala ◽

Jordan M. Berg

Keyword(s):

Lie Groups ◽

Pid Controller ◽

Mechanical Systems ◽

Systems On Lie Groups

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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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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 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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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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Control Algorithms Along Relative Equilibria of Underactuated Lagrangian Systems on Lie Groups

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2007143 ◽

2008 ◽

Vol 53 (11) ◽

pp. 2651-2658 ◽

Cited By ~ 3

Author(s):

Nikolaj Nordkvist ◽

Francesco Bullo

Keyword(s):

Lie Groups ◽

Relative Equilibria ◽

Control Algorithms ◽

Lagrangian Systems ◽

Systems On Lie Groups

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State estimation for invariant systems on Lie groups with delayed output measurements

Automatica ◽

10.1016/j.automatica.2016.01.024 ◽

2016 ◽

Vol 68 ◽

pp. 254-265 ◽

Cited By ~ 11

Author(s):

Alireza Khosravian ◽

Jochen Trumpf ◽

Robert Mahony ◽

Tarek Hamel

Keyword(s):

State Estimation ◽

Lie Groups ◽

Systems On Lie Groups

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Integrable Hamiltonian systems on Lie groups: the elastic problem, its non-Euclidean analogues, and the rolling-sphere problem

Geometric Control Theory ◽

10.1017/cbo9780511530036.017 ◽

1996 ◽

pp. 444-482

Keyword(s):

Lie Groups ◽

Hamiltonian Systems ◽

Elastic Problem ◽

Integrable Hamiltonian Systems ◽

Rolling Sphere ◽

Systems On Lie Groups

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