Abstract: The paper presents an adaptive control strategy for directing the chaotic motion of a nonlinear system to a periodic motion through the linear feedback of a control parameter. The key problem solved is to choose the control stiffness in the feedback by means of the pole assignment of linearized controlled system in an extended state space spanned by the system state and the system parameter. The paper gives the simulations of recovering the fixed point of the Logistic map and the periodic orbit of a harmon...