IEEE Transactions on Automatic Control
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
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Abstract
Two types of nonlinear control algorithms are presented for uncertain linear plants. Controllers of the first type are stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into a prespecified neighborhood of the origin independently on initial conditions. The control design procedure uses block control principles and finite-time attractivity properties of polynomial feedbacks. Controllers of the second type are modifications of the second order sliding mode control algorithms. They provide global finite-time stability of the closed-loop system and allow to adjust a guaranteed settling time independently on initial conditions. Control algorithms are presented for both single-input and multi-input systems. Theoretical results are supported by numerical simulations.
DOI: 10.1109/tac.2011.2179869 · Publisher: Institute of Electrical and Electronics Engineers (IEEE)