1. Switching Control of Impulsively Disturbed Nonlinear Systems Based on Bang-Bang Constant Funnel Controller

This chapter proposes a SC for the impulsively disturbed nonlinear systems with arbitrary relative degree based on the BCFC. Weaker feasibility assumptions are proposed for the SC in contrast to the conventional bang-bang funnel controller. The SC is designed to switch between a BCFC and a CC according to a state-dependent switching strategy. Moreover, the IDRA, which refers to the ability of returning to the pre-disturbed operation point following an impulsive disturbance, of the nonlinear system controlled by the SC is analyzed. The boundary values and the recovery time of the system output tracking error and its derivatives of an impulsively disturbed nonlinear system controlled by the BCFC are discussed as well. Furthermore, the BCFC and the SC are applied respectively in the excitation control of a synchronous generator for the frequency supervision of a SMIB power system, through which the control performance of the SC and the BCFC is verified with simulation studies.