Finite-time rate anti-bump switching control for switched systems

Abstract

The paper centers on the investigating the FT (finite-time) rate anti-bump switching control problem for switched systems. The aim is to propose a switching control scheme to alleviate the undesirable big jumps in the system rate at switching points while achieving the disturbance restrain in FT. An improved definition of the rate anti-bump switching property is presented, measuring the alleviation level on the rate bumps just at switching points. A condition is captured to drive the rate anti-bump switching property and the disturbance restrain property. A switching control technique is developed by constructing a switching law combined with a switching controller to force that the FT rate anti-bump switching control issue is solvable. A verification example is served to display the reasonability of the developed theory.