Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems

This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Also, the synthesis of stabilization periodically intermittent state feedback controllers is present such that the close-loop system is exponentially stable. A simulation example is given to illustrate the effectiveness of the proposed approach.