Sergej Čelikovský received SICE 2011 Award for Outstanding Paper published in Transactions of the Society of Instrument and Control Engineers. This paper proposes and analyzes a successive approximation method for obtaining center manifolds with application to output regulation problem. Society of Instrument and Control Engineers (SICE) http://www.sice.jp/english/ is the recognized international society founded in Japan. It was established in 1961 and it has been a leading academic society for transdisciplinary science and technology, covering the fields of measurement, control, systems and information, system integration, and related industrial applications.