Intermittent Sampled-Data Control for Coupled PDE-ODE Systems

This paper introduces an intermittent sampled-data control issue for coupled systems represented by ordinary differential equations (ODEs) and partial differential equations (PDEs). First, the exponential stability conditions in the form of linear matrix inequalities (LMIs) for coupled PDE-ODE systems under intermittent sampled-data controller are given by using switched time-dependent Lyapunov functional. Then, intermittent sampled-data control gain is obtained by solving LMIs. Finally, the proposed design strategy is successfully applied to the control problem of a hypersonic rocket car (HRC).