Stabilization Control for a Class of Nonlinear Systems with Uncertain Nonlinearity

This paper investigates the robust stabilization problem for a class of chaotic systems with uncertain nonlinearity. The nonlinear function matrix is decomposed into a non-singular function matrix and a function matrix. nonlinear function vector observer (NFVO) approximates the uncertain nonlinearity. By using NFVO, optimization principle and linear matrix inequality (LMI) approach, the states of nonlinear system can realize stable quickly. Finally, simulations are presented to illustrate the effectiveness of the proposed method.