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Journal Articles IEEE Transactions on Automatic Control Year : 2011

Nonlinear feedback design for fixed-time stabilization of Linear Control Systems

Abstract

Nonlinear control algorithms of two types 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 selected 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.
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Dates and versions

hal-00757561 , version 1 (27-11-2012)

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Andrey Polyakov. Nonlinear feedback design for fixed-time stabilization of Linear Control Systems. IEEE Transactions on Automatic Control, 2011, 57 (8), pp.2106-2110. ⟨10.1109/TAC.2011.2179869⟩. ⟨hal-00757561⟩
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