Abstract
This paper is concerned with a doubly coprime factorization technique and the class of all stabilizing compensators. First, a doubly coprime factorization technique is proposed in a transfer function approach. We can obtain all stabilizing compensators directly from one stabilizing compensator via this technique. Second, it is shown that the well-known doubly coprime factorization technique developed by Nett and coworkers can be derived naturally from our method. In addition, a relation between observer-based compensators and the Bezout identity is clarified. Based on these results, a few extended forms of previonus results are given. Finally, a structure of all stabilizing compensators is shown.
