Exponential stabilization of linear systems with time-varying sampling

This paper studies the problem of exponential stabilization of linear systems with time-varying sampling. The sampling rate varies form sample to sample with the given probability. By applying the input delay approach, the sampled-data system is transformed into a continuous time-delay system with stochastic parameter. A new exponential stability criterion is derived for the sampled-data system by using the Lyapunov functional approach. Based on this, the design procedure for stabilization controllers is presented by means of linear matrix inequalities (LMIs). An example shows the effectiveness of the proposed controller design methodology. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.link_to_subscribed_fulltex