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Continuous finite-time stabilization of the translational and rotational double integrators
IEEE Transactions on Automatic Control · 1998 · Vol. 43(5) · pp. 678–682
Sanjay P. Bhat✉(Indian Institute of Technology Bombay)Dennis S. Bernstein(University of Michigan–Ann Arbor)
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".
Numerical methods for differential equationsAdvanced Control Systems OptimizationControl and Stability of Dynamical SystemsDouble integratorIntegratorControl theory (sociology)Convergence (economics)Bounded functionMathematicsLyapunov functionMathematical analysisComputer sciencePhysics
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