Sampled-data control of double integrator systems

A sampled-data control system with bounded controls is introduced for double integrator systems. The control system uses samples of the output of a continuous-time, linear controller to determine the amplitude of a predetermined, piecewise constant (bang-bang), control signal. The pre-determined control signal defines the inter-sample behavior of the system and generalizes the constant inter-sample behavior associated with a zero-order hold. Simulation results of the nominal and robust performance are presented.