This article gives a brief description of the conventional TS method. The proposed ATS method is then described in details. Since our ATS method provides more efficient search than the conventional TS method does, we have applied the ATS method to identify the models of various systems. Examples of case studies given in this article include die-swell steady-state model for polymer melts, hot-air tube, system with torsional resonance, static nonlinearity, and inverted pendulum. Conclusions are drawn at the final section of this article.