Sliding Mode Control Design Using Canonical Homogeneous Norm

Andrey Polyakov (1)

1 NON-A-POST - Non-Asymptotic estimation for online systems

The problem of sliding mode control design for nonlinear plant is studied. Necessary and sufficient conditions of quadratic-like stability (stabi-lizability) for nonlinear homogeneous (control) system are obtained. Sufficient conditions of robust stability/stabilizability are deduced. The results are supported with academic examples of sliding mode control design.

Mots clés: Homogeneous systems; Sliding mode control; Stability

Domaines: Automatique

Andrey Polyakov. Sliding Mode Control Design Using Canonical Homogeneous Norm. International Journal of Robust and Nonlinear Control, 2019, 29 (3), pp.682-701. ⟨10.1002/rnc.4058⟩. ⟨hal-01697797⟩