Stabilization of nonlinear systems via periodically intermittent control

This brief studies the exponential stabilization problem for a class of nonlinear systems by means of periodically intermittent control. An exponential stability criterion given in terms of a set of linear matrix inequalities, together with a simpler sufficient condition determined by three scalar inequalities, is presented. A suboptimal, intermittent controller is designed with respect to the general cost function under the assumption that the control period and control width are fixed and known. Numerical simulations are presented to verify the theoretical results.