Almost-global tracking for a rigid body with internal rotors
Nayak, Aradhana; Banavar, Ravi N.;
Subject: Computer Science - Systems and Control
Almost-global orientation trajectory tracking for a rigid body with external actuation has been well studied in the literature, and in the geometric setting as well. The tracking control law relies on the fact that a rigid body is a simple mechanical system (SMS) on the... View more
 Vladimir I Arnol'd. Mathematical methods of classical mechanics, volume 60. Springer Science & Business Media, 2013.
 Ramaprakash Bayadi and Ravi N Banavar. Almost global attitude stabilization of a rigid body for both internal and external actuation schemes. European Journal of Control, 20(1):45-54, 2014.
 Anthony M Bloch, Perinkulam S Krishnaprasad, Jerrold E Marsden, and G Sa´nchez De Alvarez. Stabilization of rigid body dynamics by internal and external torques. Automatica, 28(4):745-756, 1992.
 Francesco Bullo and Andrew D Lewis. Geometric control of mechanical systems: modeling, analysis, and design for simple mechanical control systems, volume 49. Springer Science & Business Media, 2004.
 Francesco Bullo and Richard M Murray. Tracking for fully actuated mechanical systems: a geometric framework. Automatica, 35(1):17- 34, 1999.
 Yao Cai, Qiang Zhan, and Xi Xi. Path tracking control of a spherical mobile robot. Mechanism and Machine Theory, 51:58-73, 2012.
 Peter Crouch. Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models. IEEE Transactions on Automatic Control, 29(4):321-331, 1984.
1  Sneha Gajbhiye and Ravi N Banavar. Geometric approach to tracking 12 (kdβ + kI − μδ)⎞ and stabilization for a spherical robot actuated by internal rotors.
2 (kpβ + αkI − τ )⎟ CoRR, abs/1511.00428, 2015. βkI ⎠  Christopher Hall, Panagiotis Tsiotras, and Haijun Shen. Tracking rigid body motion using thrusters and momentum wheels. In AIAA/AAS Astrodynamics Specialist Conference and Exhibit, page 4471, 1998.
 Yury L Karavaev and Alexander A Kilin. The dynamics and control of a spherical robot with an internal omniwheel platform. Regular and Chaotic Dynamics, 20(2):134-152, 2015.