Nonregular Solution on the Nonlinear Dynamic Disturbance Decoupling Problem withan Application to a Complete Solution of the Nonlinear Model Matching Problem

摘要

The nonregular Dynamic Disturbance Decoupling Problem (nDDDP) for nonlinearcontrol systems is presented. A local solution is given by means of a constructive algorithm that is based on Singh's algorithm and the clamped dynamics algorithm. The nonlinear Model Matching Problem (MMP) is studied. This problem is defined as follows: given a nonlinear control system, to be referred to as the plant, and another nonlinear control system, to be referred to as a model, can one find a compensator for the plant in such a way that the input-output behavior of the compensated plant matches that of the model. By proving that the solvability of the nonlinear MMP is equivalent to the solvability of an associated nDDDP a complete local solution of this problem is established.