Mohammad Mahmoudieh - گروه ریاضی دانشکده فنی و حرفه ای ولیعصر( دختران تهران)، دانشگاه فنی و حرفه ای، تهران، ایران
Hessam Hosseinnezhad - Department of Basic Sciences, Faculty of Enghelab-e Eslami, Tehran Branch, Technical and Vocational University (TVU), Tehran, Islamic Republic of Iran.
Gholamreza Abbaspour Tabadkan - دانشکده ریاضی دانشگاه دامغان

In this paper, we reintroduce the concept of controlled K-frames and then, we show that this definition is equivalentwith the concept that has been recently introduced in \cite{Nouri}. Meanwhile, we correctone of the results which was obtained in the mentioned paper. In the sequel, we construct some new controlled K-framesby some operator theory tools. Finally, we provide some conditions under which the sum of two controlled K-frames remainsa controlled K-frame.