Stabilization of Uncertain Equilibrium Points by Washout Control

Abstract

We consider a local stabilization problem of an uncertain equilibrium point existed in a nonlinear continuoustime system by a finite-dimensional dynamical state feedback controller. In previous researches, it is investigated that steady-state blocking zeros of the stabilizing controller play an important role. Such a controller is called a washout controller. In this paper, we propose a new washout controller whose order is the same as the control input vector. Moreover, we show that such controllers can be designed by solving a stabilization problem by constant state feedback. Additionally, we also consider a local stabilization problem of an uncertain fixed point of a given discrete-time system.