Practical tracking control for a class of high-order switched nonlinear systems with quantized input

Abstract

This paper concentrates on the global practical tracking problem for a class of high-order switched nonlinear systems under arbitrary switching, whose powers and nonlinearities count on the switching signal. The sector-bounded approach is utilized to dispose of the control input, which is quantized by a logarithmic quantizer. Firstly, through the medium of adding a power integrator approach, a homogeneous output feedback controller is designed for the nominal part of the switched systems. Then, by virtue of the homogeneous domination idea and a common change of coordinates, scaled homogeneous output feedback controllers are achieved to assure global boundedness of all the states in the whole system and ensure the tracking error to converge into an arbitrarily small neighborhood of origin in a finite time. Finally, two examples are provided to test the validity of the proposed method.