SVD Algorithm in the Application of the MIMO System Model Order Reduction

For linear time invariant high-order system calculation and analysis model is difficult to directly，so we need to study on reduction of the model According to the basic theory of model order reduction Lyapunov equation model order solution to linear time invariant system completely controllable Gramians matrix considerable considerable decomposition balance of the 丘ature space reduced-order Gramians Gramians by SVD m月tryX completely are ohtained for a linear system，the completely controllable and and matrix Cholesky decomposition， the Cholesky decomposition factor (singular value decomposition)method for Hankel singular value are gmen system which is transformation matrix. The reduced order system is given by based matrix obtained by the controllable and considerable Gramians matrix. The error and the factor to determine the of left and right bound for several models 月re computed by using the method of Hankel SVD. In order to obtain the several reduce-order models，using Mtalb to turn CDPlyer high-order model that stored in SLICOT test library to a low-order system. The results show that the above order reduction method is feasible.