Asymptotic stabilization of the heavy top using controlled Lagrangians

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2000, Pages 269-273

  Chang, D E ^a   Marsden, J E ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; INVARIANCE; KINETIC ENERGY; LAGRANGE MULTIPLIERS; LYAPUNOV METHODS; VECTORS;

EULER-POINCARE EQUATIONS; EULER-POINCARE MATCHING; EULER-POINCARE MECHANICAL SYSTEM; LIE ALGEBRA;

SYSTEM STABILITY;

EID: 0034439110     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Matching and digital control implementation for underactuated systems
2. Potential and kinetic shaping for control of underactuated mechanical systems
3. Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping and tracking
4. Asymptotic stabilization of Euler-Poincaré mechanical systems
5. Stabilization of mechanical systems using controlled Lagrangians
6. Matching and stabilization by the method of controlled Lagrangians
7. Stabilization of the pendulum on a rotor arm by the method of controlled Lagrangians
8. Potential shaping and the method of controlled Lagrangians
9. Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem
10. Controlled lagrangians and the stabilization of Euler-Poincaré mechanical systems
11. Asymptotic stabilization of relative equilibria with application to the heavy top
12. Simplified conditions for matching and for generalized matching in the theory of controlled Lagrangians
13. The Euler-Poincare equations and semidirect products with applications to continuum theories
14. Underwater vehicle stabilization by internal rotors
15. Global asymptotic stabilization of an underwater vehicle using internal rotors