An operator-based control scheme designed for nonlinear feedback system

In this paper, the issue of handling the stability of nonlinear feedback systems by using an operator-based right coprime factorization method is discussed. Based on the isomorphism factorization method, the inverse of the right factor is discussed and the existence domain and the BIBO stability is respectively proposed by matrix inverse lemma and Liptchitz norm. Moreover, the proposed design scheme can be applied to the select and design of the unimodular operator. In addition, a numerical example of Peltier actuated thermal process temperature control is given to illustrate the effectiveness of the proposed method.