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Conference Papers Year : 2013

Finite-time Stabilization Using Implicit Lyapunov Function Technique

Abstract

The Implicit Lyapunov Function (ILF) method for finite-time stability analysis is introduced. The control algorithm for finite-time stabilization of a chain of integrators is developed. The scheme of control parameters selection is presented by a Linear Matrix Inequality (LMI). The robustness of the finite-time control algorithm with respect to system uncertainties and disturbances is studied. The new high order sliding mode (HOSM) control is derived as a particular case of the developed finite-time control algorithm. The settling time estimate is obtained using ILF method. The algorithm of practical implementation of the ILF control scheme is discussed. The theoretical results are supported by numerical simulations.
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Dates and versions

hal-00844386 , version 1 (15-07-2013)

Identifiers

  • HAL Id : hal-00844386 , version 1

Cite

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-time Stabilization Using Implicit Lyapunov Function Technique. IFAC Nolcos 2013, Sep 2013, Toulouse, France. ⟨hal-00844386⟩
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