Sliding sector design for nonlinear systems

Abstract The main contribution of this paper is a new method for sliding surface sector design to reduce the chattering. A new approach enables a systematic design based on the key idea that the Tensor Product (TP) model transformation is capable of decomposing sectors, furthermore it can define a High Order Singular Value Decomposition (HOSVD)-based canonical sector system. It is partially combination of sector sliding mode control, the classical manifold design for the linear system and HOSVD-based canonical description of a wide class of nonlinear systems. Experimental results of a DSP-controlled single-degree-of-freedom motion-control system are presented.