MIXED DISCRETE CONTINUOUS SPECIFICATIONS IN SAMPLED-DATA H-2-OPTIMAL CONTROL/

The increasing use of digital equipment in control in the last half ce ntury made a tremendous impact on controller design methodology. On th e other hand, it had little effect on the control problem formulation: the control goals to a large extent still remain those of the analog world. The goal of this paper is to introduce and justify a new approa ch to sampled-data control system design, which enables one to account for the special opportunities, introduced by the employment of digita l equipment. The essence of this approach is the simultaneous treatmen t of both continuous-and discrete-time performance requirements; hence , mixed discrete/continuous specifications (MDCS). In the paper, the s ampled-data H-2 MDCS problem is formulated and solved. As a by-product of the MDCS treatment several novel technical results are obtained. I llustrative examples, demonstrating the potential benefits of the prop osed approach are presented. (C) 1997 Elsevier Science Ltd.