COMPUTING THE SETTLING TIME FOR NONLINEAR STEP RESPONSES

摘要

The settling time for the step response of a nonlinear system can be computed using the Poincare-Dulac normal form. It is then possible to use a simple approximate formula, whose error can be estimated. The data needed can all be calculated from the leading coefficients of series expansions of the Poincare-Dulac transformation and the equilibrium curve.