Stability analysis of non-uniform sampling systems based on the generalized eigenvalue problem

This paper is concerned with nonuniform sampling systems, where the sampling period is time varying within a bounded interval. Such kind of system is transformed into time varying discrete time system according to the recent results. By using robust control techniques, the time varying model can be treated as a discrete time system including norm bounded uncertainties which result in the sampling period variation. The generalized eigenvalue problem can be used to denote the time varying sampling period, which can be solved by LMI Toolbox directly. The multiple nominal point method is used to reduce conservatism arising from the model. Simulation shows the effectiveness of the proposed algorithm.