Model Order Reduction of LTI Interval Systems Using Differentiation Method Based on Kharitonov’s Theorem

Abstract

ABSTRACTA new reduction method is proposed to reduce the higher order interval system. The proposed reduced-order interval model is achieved based on the differentiation method using the Kharitonov’s theorem. This method is significant for both single-input single-output interval systems and multi-input multi-output interval systems. This method is simple in mathematical calculation and preserves the dominant characteristics of the original interval system in its reduced-order interval models. The suggested method provides stable reduced-order models if the original system is stable. To show the effectiveness of this technique, it is illustrated with benchmark problems. The results show the close approximation of the reduced-order model obtained by the proposed technique with the original system. Furthermore, the performance of the suggested technique validated qualitatively in terms of time response specifications and performance indices by comparing with other well-known reduction methods. These results exhibit the effectiveness and efficiency of the proposed technique. Moreover, this method also extended for discrete-time interval systems.