Journal ArticleDOI
Clustering Method for Reducing Order of Linear System using Pade Approximation
TLDR
In this article, a mixed method is proposed for finding stable reduced order models of single-input-single-output large-scale systems using Pade approximation and the clustering technique, which guarantees stability of the reduced order model when the original high order system is stable.Abstract:
A mixed method is proposed for finding stable reduced order models of single-input- single-output large-scale systems using Pade approximation and the clustering technique. The denominator polynomial of the reduced order model is determined by forming the clusters of the poles of the original system, and the coefficients of numerator polynomial are obtained by using the Pade approximation technique. This method guarantees stability of the reduced order model when the original high order system is stable. The methodology of the proposed method is illustrated with the help of examples from literature.read more
Citations
More filters
Journal ArticleDOI
Linear time-invariant system reduction using a mixed methods approach
Afzal Sikander,Rajendra Prasad +1 more
TL;DR: In this paper, the authors proposed a new method for obtaining a reduced order model of high order linear time-invariant single input-single output (SISO) and multiple input-multiple output (MIMO) systems, which is based on the stability equation method and factor division algorithm.
Journal Article
Evolutionary Techniques for Model Order Reduction of Large Scale Linear Systems
TL;DR: Both PSO and GA optimization are employed for finding stable reduced order models of single-input- single-output large-scale linear systems and the results are compared with recently published conventional model reduction technique.
Journal ArticleDOI
Soft Computing Approach for Model Order Reduction of Linear Time Invariant Systems
Afzal Sikander,Rajendra Prasad +1 more
TL;DR: This paper proposes a new method for order reduction of higher-order linear time invariant systems based on stability equation method and particle swarm optimization algorithm and the results are compared with well-known methods available in the literature.
Journal ArticleDOI
A New Technique For Reduced-Order Modelling of Linear Time-Invariant System
Afzal Sikander,Rajendra Prasad +1 more
TL;DR: In this article, a modified pole clustering and factor division algorithm is proposed to obtain a stable reduced-order system preserving all essential properties of the original system, which is intended for both single-input single-output and multi-input multi-output (MIMO) systems, and compared with other well-known and recently developed order-reduction techniques like Routh approximation and Big Bang-Big Crunch algorithm.
Journal ArticleDOI
Order reduction of linear systems with an improved pole clustering
TL;DR: An improved clustering algorithm is employed in the proposed method to obtain the reduced order denominator polynomial and the method is extended to the higher order multivariable system described by its matrix transfer function.
References
More filters
Journal ArticleDOI
On "A method for simplifying linear dynamic systems"
M. Chidambara,Edward J. Davison +1 more
TL;DR: A method is proposed for reducing large matrices by constructing a matrix of lower order which has the same dominant eigenvalues and eigenvectors as the original system.
Journal ArticleDOI
Stable reduced-order models using Padé-type approximations
TL;DR: In this paper, an algorithm is introduced which ensures that the reduced-order model derived by equating time-moments and by continued fraction synthesis will be stable, assuming the high-order system is stable.
Journal ArticleDOI
Linear system reduction using Pade approximation to allow retention of dominant modes
TL;DR: A new method of reduction in order of linear time-invariant systems is introduced that combines the desirable features of the time-moments and the modal methods of reduction based on the concept of Pade approximation about more than one point.
Journal ArticleDOI
Balanced truncation of linear time-varying systems
Henrik Sandberg,Anders Rantzer +1 more
TL;DR: Both upper and lower error bounds for the truncated models are derived and input-output stability of all truncated balanced realizations is proven.
Journal ArticleDOI
Stable reduced-order Padé approximants using the Routh-Hurwitz array
TL;DR: In this article, a mixed method is proposed for finding stable reduced-order models using the Pade approximation technique and the Routh-Hurwitz array, which guarantees stability of the reduced model when the original system is stable.