earticle

영어

The bound of static uncertain function of chaotic system is required to be known by using adaptive method in many past research papers. Or many papers only considered the situation of the systems with simple uncertain nonlinear functions. In this paper, a kind of generalized chaotic systems are taken as an example, and an adaptive control algorithm with static uncertain nonlinear functions is proposed to control chaotic systems. The requirements for nonlinear function of system is relaxed by using the proposed algorithm. It only requires that the bound of the nonlinear functions in the system model exists and some part of it is known. At last, detailed numerical simulation is done to testify the rightness of the proposed method. It shows that the stabilization and tracking of chaotic system with static uncertain functions can be realized with a quick response by using the proposed algorithm.