TP model transformation based sliding mode control design for nonlinear systems

The main contribution of this paper is a new sliding mode design for nonlinear systems. This method is based on Tensor Product Model Transformation. It is partially extension and combination of the classical optimal manifold design for linear (or linearized) system and sector sliding mode control. This new approach enables a systematic design and decomposition of optimal sliding sector by the High Order Singular Value Decomposition (HOSVD)-based canonical description of a wide class of nonlinear systems. Two design examples and experimental results of a DSP-controlled single-degree-of-freedom motion-control system are presented.