FEEDBACK DESIGN AND PRECOMPENSATION FOR GENERALIZED SYSTEMS

Feedback control designs are useful for removing the impulses that dis turb the behavior of generalized state space systems. The aim of this paper is to detail the design of dynamic precompensators for the imple mentation of such feedback control designs. Necessary and sufficient c onditions are given so that the resulting regulators are biproper. It is pointed out that these conditions are restrictive and that feedback control designs can lead to nonproper precompensators. To overcome th is difficulty, a class of proper precompensators is proposed. These re gulators, which result from an adaptation of the Silverman structure a lgorithm, remove the impulse behaviors that occur after the initial ti me by smoothing out the input vector.