H2 design of generalized sampling and hold functions with waveform constraints

This paper presents a solution to the sampled-data H² control problem where the sampling function, the discrete-time controller and the hold function are all available for design. In contrast to previous works, the generalized sampling and hold functions are constrained to have piece-wise impulse and piecewise constant waveforms, respectively. The resulting sampling and hold devices improve the control capabilities over those based on a zero-order hold and on an ideal sampler, yet they are simple and easy to implement on digital hardware, in contrast to the unconstrained ones.