Instead of using the Fit Curve personality of Nonlinear, you can use the Custom Model personality (Help Index: Nonlinear Platform, Custom Models).
1. Create a column formula (say in column MyFormula) with parameters a, b and c: a + b*exp(c*Time)
2. In the initial Nonlinear dialog Put MyFormula in the X, Predictor Formula box and %Knock Down in the Y, Response box. Then click OK.
3. In the second Nonlinear dialog you can click the red triangle by Nonlinear Fit and choose the first item, Parameter Bounds. You will then have the opportunity to supply Lower and/or Upper bounds for each of a, b, and c.