Nonlinear Control Problems and Systems Approximations: A Geometric Approach

摘要

A study which, given a nonlinear system, determines at an equilibrium point arelation between controlled invariant distributions defined for the nonlinear plant and any Taylor series approximation of it, is presented. When dealing with control problems whose solvability conditions are stated in terms of specific controlled invariant distributions, these relations enable a decision to be made as to whether the solvability of the control problem for the approximation and for the nonlinear system are equivalent. Some examples are given to illustrate the practical applicability of these results.