Nonsingular prescribed‐time stabilization of a class of uncertain nonlinear systems: A novel coordinate mapping method
Chao Ding, Chao Shi, Yong Chen
Abstract
Summary This article investigates the nonsingular prescribed‐time stabilization problem for p ‐normal form systems. Two significant progresses are made for the first time as follows: First, a novel concept named coordinate mapping of time domain, is proposed to transform the nonsingular prescribed‐time convergence problem into the ordinary finite‐time convergence problem of transformed time‐varying system. Second, a set of new parameters are introduced to extend the existing adding a power integrator technique, such that the power restriction is removed. Based on above design procedure, a periodic controller is constructed to stabilize the state of the p ‐normal form system into a small neighborhood of the equilibrium in prescribed time. Theoretical result is supported by numerical simulation.