Laguerre Expansion Series Based Reduced Order Interval Systems

Model order reduction techniques have attracted researchers for the analysis of higher-order systems. The brief presents the order reduction of the interval system in state-space form using the Laguerre polynomial method with singular value decomposition. Laguerre - SVD model reduction technique is approved for the algorithms reduced computational complexity and stability perseverance. The proposed algorithm applies Laguerre approximation to interval system to compute an interval Krylov matrix using the Interval laboratory MATLAB toolbox. Then singular value decomposition is performed on the concatenated matrix with the upper limit and lower limit of the obtained interval Krylov matrix. The resultant column orthogonal matrix yields the reduced interval system through congruence transformation. The technique preserves the original system properties and is proved to be stable. Pertinent numerical results validate the proposed technique with examples from literature.