Model Reduction Scheme of State-Affine Systems

In this paper, a new method for the approximation of discrete time state-affine systems is proposed. The method is based on the diagonalization of proposed generalized controllability and obeservability Gramians. The reduction algorithm employs singular value decomposition to retain states corresponding to dominant singular values of these Gramians. The proposed method can be considered as the generalization of the Moore's balancing reduction approach for linear systems. A numerical example is used to illustrate the effectiveness of the proposed method. Keywords Model reduction, balanced realization, stateaffine systems.

• Type: Conference
• Year: 2001
• Where: CAINE
• Authors: Samir A. Al-Baiyat
• Keywords: CAINE 2001, CAINE 2007, Dominant Singular Values, Singular Value Decomposition, Singular Values