Abstract
We have shown the design of nonlinear regulator which is globally stable using power state vector and genetic algorithm. In this paper we show the design of direct control of stabilization for nonlinear systems using power state feedback. This design method is to select constant feedback matrix using genetic algorithm so as to have a Lyapunov function of a closed loop applying power state feedback. This method is analogy to stabilizing feedback of linear system. In nonlinear system there is no concept of pole of linear system, though stabilization of nonlinear system is natural extension of stabilization of linear system in case of using Lyapunov function. This method can design strictly nonlinear feedback control law of bounded power degree to stabilize globally nonlinear system of odd degree polynomial.
