Earticle

초록

영어

This paper concerned with a model reduction of infinite dimensional systems by using the singular perturbation approximation. The system considered is that of the exponentially stable linear system with bounded and finite-rank input and output operators such that the balanced realization can be performed on the system. Furthermore, the singular perturbation method is applied to reduce the order of the balanced infinite dimensional systems. A reduced-order model can be obtained by setting to zero of derivative all states corresponding to smaller Hankel singular values. To show the effectiveness of the proposed method, numerical simulations are applied to the heat conduction.

목차

Abstract
 1. Introduction
 2. Preliminary Notes
 3. Reciprocal Transformation of Balanced Systems
 4. Balanced Singular Perturbation Approximation
 5. Numerical Computation
 6. Numerical Example
 7. Conclusions
 Acknowledgements
 References

키워드

저자

• Roberd Saragih [ Department of Mathematics, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Jl. Ganesa 10 Bandung, Indonesia ]
• Fatmawati [ Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Kampus C, Jl. Mulyorejo Surabaya 60115, Indonesia ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Control and Automation

• 간기

  월간

• pISSN

  2005-4297

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605