Model reduction via truncation: an interpolation point of view
نویسندگان
چکیده
In this paper, we focus our attention on linear time invariant continuous time linear systems with one input and one output (SISO LTI systems). We consider the problem of constructing a reduced order system via truncation of the original system. Given a SISO strictly proper transfer function T (s) of McMillan degree N and a strictly proper SISO transfer function T̂ (s) of McMillan degree n < N , we prove that T̂ (s) can always be constructed via truncation of the system T (s). The proof is mainly based on interpolation theory, and more precisely on multipoint Padé interpolation. Moreover, new results about Krylov subspaces are developed. © 2003 Elsevier Inc. All rights reserved.
منابع مشابه
Weighted Model Reduction Via Interpolation
Weighted model reduction problems appear in many important applications such as controller reduction. The most common approach to this problem is the weighted balanced truncation method. Interpolatory approaches to weighted model reduction have been mostly limited to simply choosing interpolation points in the regions where the weights are dominant. In this paper, we extend the (unweighted) tan...
متن کاملImage Compression by Moment Preserving Algorithms: A Scrutinization
Block Truncation Coding is an image compression technique which is used globally in many online as well as offline graphical applications e.g. LCD overdrive etc. In this literature survey we will discuss many variants of Block Truncation coding and latest metamorphosed techniques which are introduced recently. These techniques are analyzed behalf on objective and subjective point of view. In th...
متن کاملBinaural Hrtf Based Spatialisation: New Approaches and Implementation
New approaches to Head Related Transfer Function (HRTF) based artificial spatialisation of audio are presented and discussed in this paper. A brief summary of the topic of audio spatialisation and HRTF interpolation is offered, followed by an appraisal of the existing minimum phase HRTF interpolation method. Novel alternatives are then suggested which essentially approach the problem of phase i...
متن کاملImplicit Runge-Kutta Methods for Orbit Propagation
Accurate and efficient orbital propagators are critical for space situational awareness because they drive uncertainty propagation which is necessary for tracking, conjunction analysis, and maneuver detection. We have developed an adaptive, implicit Runge-Kuttabased method for orbit propagation that is superior to existing explicit methods, even before the algorithm is potentially parallelized....
متن کاملMatrix Equations and Model Reduction
Model order reduction methods for linear time invariant systems are reviewed in this lecture. The basic ideas of the methods, such as the Padé approximation method, the rational interpolation method, the modal truncation method, the standard balanced truncation method, and the balancing related methods, are presented. The numerical algorithms of implementing the methods are discussed. For the b...
متن کامل