Abstract
In this note, a design of high gain feedback for uncertain nonlinear systems is proposed using the multiparameter high gain feedback method. It is shown that control laws by the multiple time scale high gain feedback and those by the so-called backstepping design method have essentially the same structure for this problem. Design objectives are robust asymptotic stabilization for a given domain of initial conditions and a construction of a high gain regulator. The design is practical, compared with the backstepping method, in the sense that it consists of choosing linear gains, and therefore, the exponential stability is guaranteed.
