AN ACCELERATION FOR THE EIGENSYSTEM REALIZATION ALGORITHM WITH PARTIAL SINGULAR VALUES DECOMPOSITION

The real-time identification of dynamic parameters is important for the control system ofspacecraft.The eigensystem realization algorithm(ERA)is currently the typical method for such applica-tion.In order to identify the dynamic parameter of spacecraft rapidly and accurately,an accelerated ERAwith a partial singular values decomposition(PSVD)algorithm is presented.In the PSVD,the Hankel matrixis reduced to dual diagonal form first,and then transformed into a tridiagonal matrix.The eigenvalues arecomputed by the bisection method in terms of the Sturm property,and the corresponding eigenvectors are ob-tained by the inverse iteration method.Finally,the eigenvalues and the eigenvectors are transformed into thesingular values and the singular value vectors of the original matrix.An example for space station is present-ed to demonstrate the efficacy and accuracy of the proposed algorithm.