Model order reduction based on general orthogonal polynomials in the time domain for coupled systems

In this paper, we present a new model order reduction (MOR) method based on general orthogonal polynomials for coupled systems in the time domain. By constructing proper projection matrices, the reduced system not only can preserve the structure of the original system but also can match the first several coefficients of the original output. We study the error bound and the stability of the reduced system as well. Finally, two numerical examples are shown to illustrate the effectiveness of the method.