Title :
Continuous finite-time stabilization of the translational and rotational double integrators
Author :
Bhat, Sanjay P. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Indian Inst. of Technol., Mumbai, India
fDate :
5/1/1998 12:00:00 AM
Abstract :
A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator. Lyapunov theory is used to prove finite-time convergence. For the rotational double integrator, these controllers are modified to obtain finite-time-stabilizing feedback that avoid “unwinding”
Keywords :
Lyapunov methods; closed loop systems; continuous time systems; control system analysis; convergence; dynamics; feedback; robust control; Lyapunov theory; closed loop systems; continuous time systems; convergence; double integrators; feedback; finite-time stabilization; nonLipschitzian dynamics; stability; Adaptive control; Aerodynamics; Automatic control; Control systems; Cost function; Feedback; Lighting control; Linear systems; Open loop systems; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
